Accepted Manuscript Title: Digitally controlled portable micropump for transport of live micro-organisms Authors: Rishi Kant, Deepak Singh, Shantanu Bhattacharya PII: DOI: Reference:
S0924-4247(17)30024-9 http://dx.doi.org/doi:10.1016/j.sna.2017.05.016 SNA 10125
To appear in:
Sensors and Actuators A
Received date: Revised date: Accepted date:
8-1-2017 21-4-2017 5-5-2017
Please cite this article as: Rishi Kant, Deepak Singh, Shantanu Bhattacharya, Digitally controlled portable micropump for transport of live micro-organisms, Sensors and Actuators: A Physicalhttp://dx.doi.org/10.1016/j.sna.2017.05.016 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
Digitally controlled portable micropump for transport of live micro-organisms
Rishi Kant1, Deepak Singh2, Shantanu Bhattacharya1,* 1
Microsystems Fabrication Laboratory, Department of Mechanical Engineering
2
Chemistry Department
Indian Institute of Technology, Kanpur
*Corresponding Author Email Address:
[email protected]
Abstract Laser micromachining has been extensively utilized to fabricate polymer based biomedical devices and is well known for producing high throughput fabrication at very low costs. The laser ablated surfaces are very rough and particularly in those micro-devices which are supposed to handle viable cells other micro-electronically inspired fabrication processes are preferred. During the micro-scale fluidic transport as generated by moving members within active micro-devices and also owing to the interfacial shear level close to the surfaces in both active and passive micro-devices there is a general loss of viability of the transported sample. In this work we have developed a hybrid strategy where the laser manufactured PMMA samples are smoothened by a chemical etching step and so obtained smooth surface is used to fabricate multilayer micropump which is actuated by a piezo disc. The micropump is operable at lower voltage 5-7.5 V DC. The flow rates of our device can be programmed through a micro-controller interface and trials are able to yield a viable transportation of solutions containing micro-organisms. The optimized design of the microfluidic chamber used in this work is able to discharge the whole containment from within the fluid chambers while retaining the cell viability.
Keywords: Micropump, PMMA, Piezo, fluid transport, viable cell, laser micro machining
1. Introduction: Laser micro-machined components formulate the key features of micro-total analysis system (ฮผTAS) which are used for imparting functionality to the devices like manipulation of miniaturized fluid volumes through micro-scale pumps, valves, mixers [18-22] etc., selective trapping and transport through processes like dielectrophoresis, electrophoresis, electro-osmosis etc. Therefore, their sustained research is quite important for the emerging fields like micro-fluidics, proteomics, genomics etc. which formulate the frontiers of biomedical technology etc [1-4, 16]. However their performance is limited owing to the difficulty faced while handling biologically viable fluids within these structures due to the rough nature of the laser machined surfaces. A lot of research has already towards analysis of the laser machining process with an overall goal of optimizing surface finish and integrity. Y. Huang et. al. [5] provided a preheat treatment of PMMA substrate immersed in water bath at 80 deg. C before carrying out machining operations. They were able to reduce the overall surface roughness (arithmetic mean surface roughness (Ra)) to around 100 nm by bursting all the bubbles formulated within the solidification transition layer. Q. Heng et.al [25] tried to optimized laser machined surface. Cheng et. al.[23] studied the effect of surface roughness on Reynolds number in micro-flows. In some other research modules. M.Bahrami et. al [26] also tried to study the effect of rough surface during micro scale fluid flow. They found out that the flow over a surface having relatively higher surface roughness always led to the formation of eddies and recirculation zones locally which would lead to an overall pressure drop within micro-fluidic channels. This would be a significant factor influencing the viability of the biological species that are transported. There lies a need to develop a strategy that is less complex than underwater laser machining [5] and it could yet produce an equivalent order of magnitude of surface roughness of the laser micro-machined parts so that they can be deployed for viable transport of biofluids. To generate transport within devices a flow actuation is done in an integrated manner within the devices itself. There are various actuation mechanisms by which micro-pumping can be realized such as pneumatic, electrostatic, piezoelectric
[43-46] thermo-pneumatic, electromagnetic, magneto-hydrodynamics(MHD), electro-hydrodynamic, shape memory alloy based, ferro-fluid based, phase change based and Ionic conducting polymer film based actuation. Among these the piezo-actuated micro-pumping units have demonstrated good capabilities for fluid transport applications [3, 7-11]. Some of these piezo driven units have catered to different performance ranges as detailed below. Carrozza et.al. [12] used a polymer-brass material to construct a piezoelectric driven micropump. They used a stereo lithography process to fabricate the micro-pump. They were able to achieve maximum flow rates of 2.7 ml/min at 70 Hz frequency and 300 V (applied voltage).The overall size of this micropump unit was around 1270 mm3. N.T. Nguyen et. al. [13] reported a circular chamber based polymeric micro-pump actuated by piezo discs in which uses SU-8 Photoresist and PMMA for fabrication and delivers flow rate upto an extent of 1 ml/min and max back pressure 200 mm of water at 50 V. T. Q. Truong et. al. [14] also developed circular chamber based piezoelectric micropump using polymeric lamination technology, they achieved a maximum flow rate 2.9 ml/min with back pressure 1.6 m of water at a high driving voltage ยฑ150 V. They did not mention about portability of the complete system with driving unit etc. In fact looking into literature we have found that there is very less mention of the overall size of the pumping system including the driving unit and the control system etc. We have tried to map the existing status of the micro-pumps in terms of three most important parameters like overall size of the complete system, applied voltage and back pressure [Figure 1].
The work reports a development process of a portable micro-pumping unit fabricated through a combination of a laser micromachining and wet chemical etching processes. The under-water laser machining as reported earlier provides a high throughput solution although it may involve a costlier system. Most of the cost that is involved in under water laser machining happens due to the utilization of higher power, complex optical focusing systems and integration of a work-piece
stage in submerged condition. The complexities of the underwater laser machining process can be avoided easily through a two-step methodology as observed in the current work. We have developed and tested a piezo driven micro-pump unit with capabilities like small overall size, low battery power and ability to withstand a back pressure of 500 mm water. The overall size of the pumping device including control instrumentation in this work is designed as Length=90mm, Width=75mm and Depth=60mm. Table 1 presents the list of the various reference numbers represented with detailed specifications of the individual micro pumping systems developed by various researchers. The present micropumping system is contains smaller size, lower voltage requirement and can sustain back pressure upto 500 mm of DI water. In summary we have developed a functional prototype of a micropump unit using laser micromachining and wet chemical etching strategies. The surface obtained by this strategy is of low overall roughness and the device realized addresses issues like viable transport of live samples (micro-organisms), use of low overall power per unit flow volume, high portability, low power usage, high pumping efficiency, higher flow-rate and better sustainability to a back pressure range of 500 mm of DI water. Several modules of predictive modeling have been carried out using the interaction of the discharge volume with the vibrating piezo-disc and the relevant experimental analysis has been carried out on the micro-pumping system. Optimization strategies of mechanical power per unit discharge volume through the containment of the pumping chamber have been thoroughly simulated with complex fluid dynamics models. The pumps developed have further utilized a thin membrane of Poly dimethyl siloxane (PDMS) as a sealing material for the gap between the piezo-disc and the PMMA substrate. This seal dynamically alters the thicknesses during the deflection cycle of the piezo. The complete micro-electronically controlled circuit has been
designed & simulated using LT-spice and finally integrated into a PCB block which essentially contains an amplifier and a Pulse Width Modulating (PWM) circuit. The micro-pumps utilize a total voltage of 7.5 V for providing a volume discharge at 497ฮผl/min and it can withstand a back pressure of 500 mm of DI water. Further we have observed the ability of our miniaturized system to handle micro-organisms without any substantial loss of viability. 2. Design of Micro-pumping system: The prototype of portable micro-pumping system has been illustrated pictorially in figure 2 which contains a fluid handling system actuated by Piezo, pulse width modulation unit and amplifier unit. The complete description of all these units has been discussed in detail in following lines. 2.1 Heirarchical Design of Fluid Handling System: The micro-pumping architecture is realized in PMMA using Laser micromachining followed by the pasting of a piezo module over the pumping chamber. The simplicity of our fabrication process is the key feature of this design as it needs very less infrastructure making it an inexpensive design while still maintaining a generally rugged design with good repeatability of pumping action. The micropumping unit is manufactured using four different laminates. The first laminate is a PMMA sheet of 40x20x1.5 mm dimension containing the laser ablated and smoothened micropumping architecture with optimized geometry. The second laminate is made of PDMS material of 40x20x0.01 mm dimension and is pasted using araldite over the first laminate. The thin PDMS layer is realized using spin coating and mould releasing steps and is very crucial for a leakage free micropumping setup. This layer also formulates a confinement for the pump inlet and also the discharge and guides the discharge all the way to the pump outlet.
The third layer is actually the piezo actuator disc of diameter 15 mm (PZT 5A, M/S Shenoy industries pvt. Ltd, India.) which is the active part of the micropumping system. There is another fourth laminate which is pasted on the top of the piezo and contains a 14 mm hole centrally for accommodating the piezo displacement over the pumping chamber. There is a 1mm overlap diametrically between the piezo disc and the fourth laminate. The overlapping fourth layer is mainly used to provide a rigid support in combination with the first laminate so that maximum displacement of the piezo (now acting with a clamped boundary) can be realized over the pumping chamber. The displacement of this piezo-disc has been modeled using COMSOL multiphysics. We have also modelled flow rates of the pumping system by using coupled physics model with moving boundary method. The design of the chamber has already been optimized in another earlier work by Kant et. al. [15]. Figure 3 illustrates the schematic of assembly of the different laminates. The PDMS laminate plays a very critical role of rubber like packing by changing its thickness/ form etc. over the relative moving parts of the pumping assembly and prevents any fluid leakage from the pump. 2.2 Numerical modeling of 3D micropump: A 3 dimensional fluid structure interaction on actuation through a piezo disc module is carried out using Comsol Multiphysics 5.2. The present model of Piezo based micro-pump requires three different physical behaviors to be integrated together viz., (i) Electrostatic behavior (ii) structural behavior and (iii) behavior of fluid flow through the channel structures. The solver is setup in COMSOL with two way coupling scheme as depicted in figure 4 below. In the first model a coupling between electrostatic physics and structural physics is integrated through its respective governing equations as detailed below. This is done with a purpose of studying the displacement behavior of the Piezo disc due to an applied voltage. In the second
model integration is made between the structural physics and the physics of fluid flows by again coupling respective governing equations as detailed below. This coupling is achieved to obtain the fluid velocity that is being pumped out. The solution corresponding to the structural equations from the first model is assumed to be the inputs for the second model. Figure 5 (a) present a CAD drawing used for simulation of micro-pumping domains and figure 5(b) presents meshed geometry of these domains after mesh size optimization. Physical models used for the three different behaviors are the following: 2.2.1 Electrostatic physics (PZT material): The governing equations required to solve elctro-sturctural simulation for PZT disc, are following: ๐
๐๐ ๐ฟ ๐๐
โ (โ. ๐) = ๐ญ
--------------------------------------------------- (1)
Neglecting the effect of inertia as PZT is made of thin film, above equation becomes (๐. ๐) + ๐ญ = ๐
--------------------------------------------------------(2)
Generated Stresses (๐) can be calculated by following equations no. 3 in PZT domain [๐]๐ร๐ = [๐ช๐ฌ ]๐ร๐ [๐]๐ร๐ โ [๐๐ป ]๐ร๐ [๐ฌ]๐ร๐ ------------------------------------------------------------(3) ๐
๐ = ๐ โ [(๐๐)๐ป + (๐๐) + (๐๐)๐ป (๐๐)]----------------------------------------------------------------(4) Where ๐ is generated strain due to developed stresses on application of voltage Using Maxwell equation ๐. ๐ซ = ๐๐ --------------------------------------------------------------------------------------------------(5) And electric field is given by equation 6
๐ฌ = โ๐๐ฝ---------------------------------------------------------------------------------------------------(6)
where ๐ฝ = ๐ฝ๐ ๐บ๐๐(๐๐
๐๐)----------------------------------------------------------------------------------------(7) So electric displacement can be calculated by equation 8 [๐ซ]๐ร๐ = [๐]๐ร๐ [๐]๐ร๐ โ [๐บ๐ ]๐ร๐ [๐ฌ]๐ร๐---------------------------------------------------------------(8) ๐is the matrix describing thestate of stress (N/m2) and has size 6x1 ,๐ช๐ฌ is the elasticconstant and is defined by a 6X6 matrix (Pa), ๐ (๐ฎ๐ง๐ข๐ญ ๐ฅ๐๐ฌ๐ฌ) is the strain matrix [size=6x1], ๐(C/m2) is coupling matrix (piezoelectricstress-charge form matrix[size 6x3],๐ซ (C/m2) is electrical displacement matrix [size 3x1], ๐บ๐ is dielectric permittivity (F/m) matrix [size 3x3], ๐ฌ(V/m) is electric field matrix [size 3x1]. ๐(๐)is displacement vector. F (N)is thebody force,Vis applied voltage,๐๐ is electric charge density (๐๐ assumed to be ๐ ) , f is frequency (Hz). All material properties that are involved in this coupled physics models are listed in table 2. 2.2.2 Structure physics (non PZT materials): The structural deformation of non PZT material has been modeled using linear elastic material model for quasi-static material model (๐. ๐) + ๐ญ = ๐
----------------------------------------------------------------------------------------(9)
Where ๐ = ๐(๐,ฯ
)*( ๐) E (MPa) is the youngโs modulus and ๐ is the state of strain, F is body force. 2.2.3 Fluid physics: The working fluid in our model is assumed to be water like and incompressible, so the flow field can be estimated by the commonly used NavierโStokes equations as follows.
๐
๐๐๐ ๐๐
+ ๐(๐๐ . ๐)๐๐ = ๐[โ๐๐ฐ + ๐(๐๐๐ + (๐๐๐ )๐ )] + ๐ญ -------------------------------------(10)
๐๐. ๐๐ = ๐----------------------------------------------------------------------------------------------(11) The boundary conditions used for this coupled form are given as initial velocity U = 0 at inlet and p= 0 (gauge pressure) at both inlet as well as outlet. The fluid (water) parameters like density, kinematic viscosity etc. has been accordingly provided for the fluid. 2.2.3 Coupling of fluid-structure model: The deflection of the piezo disc generated on application of a voltage pulse,is transferred into the structural domainby an elemental mapping between different domains containing dissimilar mesh size. Structural mechanics module of COMSOL solves for the Piezo disc deflection and the Electrostatic module is used to apply the voltage boundary condition for the PZT material. To make a coupling of electro-structural domain, the piezoelectric effect is used to calculate the force and deflection of the piezo disc. The fluid structure coupling is carried out through FSI (Fluid structure interaction)module which takes care of the mesh deformation. It uses ALE (Arbitrary Lagrangian-Eulerian) algorithm to incorporate fluid flow generated by Eulerian formulation in spatial frame with structure mechanics using Lagrangian formulation & material frame. The essential boundary condition for the two ways coupling of two different domains is made as follows: ๐๐ . ๐ = ๐๐ . ๐-----------------------------------------------------------------------------------------------(12) Where ๐๐ is stress developed in solid domain, ๐๐ is stress generated in fluid domain and๐is normal vector.
Stress generated in the fluid is estimated by following equation where pressure and convective term of fluid flow is taken into consideration ๐ ๐ = โ๐๐ + ๐(๐๐๐ + (๐๐๐ )๐ป--------------------------------------------------------------------------(13) The fluid structure boundary (FS boundary)โs velocity should be equalized to the fluid velocity i.e. ๐ ๐ = ๐ฝ๐
๐ ๐๐จ๐ฎ๐ง๐๐๐ซ๐ฒ -----------------------------------------------------------------------------------------(14) and derivative of displacement of solid boundary should be equalized to the velocity of the FS boundary i.e. ๐ฝ๐
๐ ๐๐จ๐ฎ๐ง๐๐๐ซ๐ฒ =
๐๐๐ ๐๐
-----------------------------------------------------------------------------------------(15)
Where ๐๐ is displacement vector of the solid domain. With the help of the above governing equations, the transient behavior of micro-pump has been examined on application of a voltage pulse. 2.2.4 Boundary Conditions: The model of the brass disc (PZT material) is made with fixed edge constraints all along its periphery. Similarly, the edges of the PDMS layer (formulated a seal between the piezo disc and the pump platformis also kept fixed along its edges. This is to primarily allow for bending at thecentral zone of the piezoon application of the control voltage at the PZT layer. The relative movement between brass layer and PDMS layer is kept zero. In reality as the PDMS is processed in a manner that piezo is placed over the PDMS with an inyermediate quick drying epoxy layer, it leads to a complete adherence between the two and as such the coupling in reality between the
piezo and the PDMS layer may be considered as a perfect one. A sinusoidal wave of ๐ = ๐0 ๐๐๐(2๐๐๐ก) is applied on the PZT layer. Although asquare pulse (PWM) is used to drive the Piezo disc later but for the simplicity aspect of modeling the phenomena a sinusoidal driving pulse is assumed. 2.2.5 Grid test and convergence studies: Grid independency test is performed for electro-structural part (Piezo disc and PDMS) for deflection and fluidic part for net flow rate. The deflection caused by Piezo vibration becomes grid independent with mesh size 82771 elements (tetrahedral elements). The flow rate of micropump become grid independent with mesh size 121429(containing tetrahedral, pyramid and prism elements). More details about grid independency are given in supplementary figure 4 for both electro-structural (piezo disc and pdms layer) and fluid domain. 3 Fabrication Methodology: 3.1 Laser Processing of PMMA: Figure 6 shows complete fabrication methodology. The first step of fabricating the device starts with the LASER micromachining of a sheet of polymethyl methacrylate (PMMA). The processing is further done using a CO2 laser scanner (M/s Epilog Laser, USA). All machining is done at 25 deg. C room temperature condition and a positive pressure environment. The laser has a high power of 35 Watts and has a total working bed size of 2ft x1ft. The micro-pump geometry was drafted using a CAD package (Coral Draw) which is subsequently used to drive the various stepper motors with the lasing stage and also the working stage. The working stage is capable of movement in the โzโ direction and the lasing stage can operate in the raster (engraving) and vector
(deep cutting) modes in the x-y plane. Figure 6 shows schematic representation of laser machining set up followed by etching step. 3.2 Use of Hybrid machining strategy for obtaining an overall smooth surface of the pumping architecture: As discussed earlier in this paper we have used a hybrid machining strategy with a first step of lasing the PMMA surface followed by a wet etching of the Laser scribed PMMA for levelling this further. Extensive optical profilometry has been performed on the Laser etched surface and the post wet etch surface and a comparison is drawn about the efficacy of this newer step. The wet etching is carried out by using a mixture of Toluene (M/s S D Fine-Chem limited, Mumbai, India, CAS no. 108-88-3) and Methanol (M/s LobaChemie Pvt. Ltd.,Mumbai, India, CAS no. 67-56-1) in a Volume ratio of 1:4. Further samples from laser etching step are immersed totally totally within this solution and ultrasonicated at 42 KHz frequency (M/s Citizen Scale (I) Pvt. Ltd., Mumbai, India)inside a laminar fume hood for around 20 minutes at room temperature. There were no significant change in overall dimensions including depth and width of the channels/ chambers while a significant reduction in the average roughness values to almost an order of magnitude. (Ra changing from 7-22ฮผm (after Laser machining to 458 nm (after wet chemical etching step) [Refer Figure 7 for reconstructed roughness plots and data output from Vecco, optical profilometer and supplementary figure 1]. 3.3 Assembly of the piezo-disc on the micro machined PMMA: The micro-pump three layer assembly as mentioned earlier comprises of PMMA hard substrate with an independently spin casted layer of Poly dimethyl siloxane (acting as a packing layer to prevent leakages) followed by a Piezo Disc (M/s Shenoy Industries Bangalore, India). [refer Figure 3 The PDMS layer is realized using a 10:1 ratio of pre-polymer and curing agent, Sylgard
184 (A and B) (M/s Dow Cornig, Midland). The mixture is spin coated on a pre-cleaned (using acetone, methanol, DI water wash) glass slide, coated with a 100 nm Hexa Methyl Di-silazane (HMDS, M/s Sigma Aldrich) acting as a mould release agent, to a thickness (10 micron) defined by the spin speed (200 rpm) in a spin coater (SPIN150 , POLOSTM, THE NETHERLANDS). The layer is heated to 85 deg. C in a hotplate for about 15 minutes till the solvent evaporates and the cross-linker is able to integrate the resin matrix thereby facilitating the easy removal of this layer. It isensured that the thick edges are trimmed to obtain a uniform thickness of 10 microns after the release is executed. This down-sized PDMS membrane is pasted over the PMMA substrate obtained in the earlier step using quick drying epoxy (M/s Aralditeยฎ adhesives, Switzerland). In the third step the piezo-disc (M/s Shenoy Industries Banglore, India) has been attached over this PDMS layer using another thin layer of the same quick drying epoxy as in the above step. The PDMS membrane is used to cover the guiding inlet/outlet channels all the way to the inlet/outlet ports stationed in both extremities of the PMMA substrate to prevent and unnecessary loss in the fluid discharge. The piezo disc is further clamped over the surface using another suitably designed protector plate. [Refer Figure 3, 6 and 8 for fabrication details]. Figure 8 shows the whole fabrication protocol through a flow chart. 4. Design of instrumentation for fluid handling: 4.1 Electronic control module (ECM) design: The micropumps are controlled digitally through a computer and this can also be remotely controlled with a few modifications to the existing wired control system developed in current work. The electronic control module enabling this digital control is composed of three subunits integrated together as shown in the block diagram figure 9. The input power comes from 7.5 V DC battery which is coupled to a signal amplifier with a gain factor of around 13.33. The output
of the signal amplifier is fed after a comparison with the input voltage to a pulse width modulating (PWM) circuit which creates a digital pulse signal varying between 0 and 100 V DC. A potentiometer with its knob mechanically coupled to a steeper motor and controlled by ATMEGA 328 micro-controller formulates the interface with the computer. With this coupling strategy, the potentiometer is able to vary voltage from 50 to 100 VDC. 4.2 Design of the driving unit of the micropump: The micro-pump driving unit consists of Pulsed width modulator and Amplifier both of which were designed using LT-spice IV. 4.2.1 Design of PWM circuit: Pulsed width modulation circuit is designed to obtain an output frequency range of 38~400 Hz using the circuit design planned in this work. Intuitively a range is important as it signifies the vibrational spectrum of the piezo-disc which obviously has an optimum frequency value for highest output flow rate from the pumping chamber. Figure 9 shows the overall circuit design containing an integrated circuit 556 IC (M/s Texas Instruments, USA), a MOSFET (IRF540, M/s: International Rectifiers) and several other passive circuit components. A potentiometer is used to obtain the output signal as a specific duty cycle. The IC556 is used to generate a Pulsed D.C. output signal of maximum voltage 7.5 V and minimum 0 V which is guided through the potentiometer. The pulsed output is sensed at pin # 5 of Integrated Circuit (IC556). This output at pin #5 is connected to the gate region of the IRF540, MOSFET. An input voltage of 7.5 V DC is provided to Pin # 14 of the Integrated circuit. The ground terminal of the power source is connected to the IC ground and so is the source pin of the MOSFET. The circuit diagram of PWM is depicted in supplementary figure 2. The frequency of this circuit design is calculated in such circuits by using following equation.
๐ = (๐. ๐๐)/(((๐น๐๐ + ๐ โ ๐น๐๐) โ ๐ช๐๐) )---------------------------------------------------------- (16) where resistances R21 and R22 (as indicated in the circuit design) are defined as 33 Kฮฉ and 2K2 Kฮฉ and C22 capacitance is defined as 0.3ฮผF for a maximum design frequency of 400 Hz. The combinations of the resistive / capacitive loads are defined by looking at circuit components with high reliability and easily available. The capacitor C22 can further be varied to 100 nF to 1000 nF to obtain a minimum frequency of 38 Hz. 4.2.2 Design of the Amplifier Circuit: Supplementary figure 3 shows amplifier circuit which uses LM3478 IC(a switching controller).The Pin no. 1 of this IC is current sense input in which voltage across R4( external sense resistor) is provided. Pin no. 2 of the IC provides compensation for the control loop. Pin no. 3 serves as feedback which adjusts output voltage using a potentiometer (R6) which is mechanically coupled with stepper motor. Ground pin no. 4 and 5 are analog and power ground pin.M1 mosfet (N-channel, very low gate resistance (26.5 mฮฉ)) attached to pin no. 6 to achieve high frequency switching and synchronous rectification. R3 (63.4 Kฮฉ) is connected to pin no. 7 to adjust the frequency and shut down of the circuit. V1 (7.5 V DC) is provided to pin no. 8 and output is achieved on V2 terminal.
5. Experimentation and Measurements: 5.1 Measurement of deflection of the piezo disc: The deflection of the piezo disc is studied using a single point laser source through which it can scan the top surface of the piezo by recording the displacement at the geometric centre of the disc through the laser sensor (MICRO-EPSILON, Germany Model OptoNCDT 1700) and analyzing the recorded data as a displacement time data through a software ILD 1700 Tool
V2.31. A detail of the deflection measurement as recorded with applied voltage is represented in figure 10. 5.2 Measurement of discharge rate of the micro-pumps: A test rig was prepared using a sheet of acrylic machined tracks containing and guiding transparent silicone tubing (ID:1/1600, M/s Upchurch Scientific) in a straight manner. The tubings were further connected to the outlet port of the micro-pump assembly and carried the pump discharge parallel to an embedded linear scale (least count 200 ฮผm). The scale was chosen in a manner so that graduations over it would be distinctly visible with respect to the moving fluid meniscus inside the silicone tubing. The velocity of flow was estimated by capturing a digital video at a high frame rate (30 FPS) of this whole process and using the length readout from the scale and time read out from the frame rate of capture of the videos to calculate the discharge velocity. Same procedure is applied to measure flow rate against pressure head also.
5.3 Sample preparation for viability studies of micro-organisms transported through Micropumping unit: Investigations were carried out in regards to the viability of flown in sample of micro-organisms inside the fluid handling device and another round of studies are performed on the output. E. coli DH5ฮฑ cells were grown in LB (Luria-Bertani, M/S Banglore Genei) culture medium at 37 ยฐC overnight in a shaking incubator (Mahendra Scientifics, India). Growth was detected by measuring the optical density (OD600) of the growth medium and an OD600 of about 2.5 was estimated to be reflective of late exponential growth phase. The final cell numbers were detected by serial dilution and plating on brain heart infusion (BHI) agar. The culture was diluted, plated, and counted using a trans-illuminator (M/s Bangalore Genie) and Image-J software. The master
solution containing the cells was diluted to seven orders of magnitude and this diluted solution was plated. This solution was further passed through the micropumping unit multiple times and each time the viability was studied by plating the discharge. 6. Results and Discussion: 6.1 Theoretical Estimation of the flow discharge: The Piezo Disc attached to the micro-pumping chamber is modeled using COMSOL multiphysics (version 5.2) and the methodology for the same is detailed earlier. The maximum displacement which is obtained at the geometric center of the disc is represented by figure 11. The maximum deflection obtained by the disc is 6.0 microns in the โve Z direction corresponding to an input voltage level of 100 V pulse DC signal. This signal level is the maximum generated by the 7.5 V DC battery coupled to the amplified circuit and chopped through the PWM circuit. The simulation platform is now utilized to predict the outlet discharge from the pumping unit. The piezo displacement in case of the piezo disc sitting on the top of the pumping chamber adds velocity head to the fluid within the chamber. The stream line plot output of this coupled simulation is represented in next section by figure 12 and 13. Figure 13 shows more flow towards the left of the non-circular chamber shape which can be observed by looking at the streamline formation trend at various zones of the chamber viz., right flank, left flank and central zone. In case of the circular chamber (Figure 12) such a demarcation is not visible and the flow is mainly attributed to the nozzle/ diffuser orientation of the connecting fluid channels to the chamber. Figure 14 depicts the net average flow rate of micro-pump with respect to time which is very similar to flow rateโs experimental values as simulated.
6.2 Studies related to Piezo deflection and flow rate: Figure 12 shows a line plot for the voltage versus displacement of the piezo disc (geometric centre) using single point laser scanner. The maximum deflection as predicted by the COMSOL module earlier of the piezo disc is obtained as 6 micro-meters. This is the basis of all the control circuit design as detailed in above sections. Experimental observations related to the discharge rate of the micro-pump corresponding to an output voltage of 50-100 Volt is plotted with respect to variable operational frequencies (frequency varied between 38-400 HZ). We observe an optimum frequency of 128Hz which is corresponding to resonance conditions of the piezo disc in all applied voltages [Figure 15(a) and (b)]. The maximum discharge rate at the piezo frequency is observed to be 497 microliters/min corresponding to an operational voltage of 100 Volts and frequency of 128 Hz. The pumps are also observed to be offering an overall back pressure level of 200 mm of water column under an applied voltage of 65 V which increases all the way to 500 mm water column pressure when a voltage of 100 V is applied at the resonating frequency corresponding to the piezo disc. Figure 12 (a)~d shows generation of eddies and vortices during suction and pumping stroke with respect to disc position, which poses restriction on use of piezoelectric micropump for transportation of biological samples as it increases chance of cell deformation and lysing[47]. While the modified design (Figure 13 (a)~(d)) shows absence of these eddies and vortices which makes this pump useful for cell suspended biological entities. The comparison of numerical and experimental values of flow rate is presented here for resonating frequency 128 Hz and 100 V in figure 15(a). 6.3 Viability studies of microorganisms The microorganismโs viability is studied on both smooth and rough surface of micropumping chamber. The details of studies are incorporated in following section.
6.3.1 Cell viability after transportation through the pumping unit containing smooth surface: The initial sample diluted to a concentration of 10^3 cfu/ml was plated using brain heart infusion (BHI) agar. The culture was diluted, plated, and counted using transilluminator (M/s Bangalore genie) and Image-J software. Figure 16 shows the counting of cells at pre and post transport stages using Image-J. The initial sample recorded a count of 402 colonies and then recorded the viable colonies to be within 386-398 for three trials where the output solution was passed through the fluid handling device for 1,2 and 3 times respectively and plated each time. Subsequent passes through the micropumping architecture using the piezo actuator to transport the sample solution. This indicates incomplete squeezing of the solution volume contained within the micro-pumping chamber even at peak performance levels. So, definitely this module is integrable with the bioassay by providing a soft transport of micro-organism cells while retaining a high level of cell viability.
6.3.2 Cell viability after transportation through the pumping unit containing rough surface: Supplementary table 1 shows the counting of cells at pre and post transport stages using Image-J. The original sample recorded a count of 205 colonies and then this sample is passed through micropumping unit containing rough surface 1,2 and 3 times and found 152,98 and 70 colony forming units respectively. This shows that cell viability is reduced much more on rough surface in comparison to smooth surface.
7. Conclusions: In this work we have described CO2 laser micro-manufacturing and chemical etching hybrid process to achieve an overall minimum surface roughness of 458 nm for micro-fluidic application. We have further realized a piezo-actuated fluid handling module for manipulation of miniaturized fluid. We have simulated through the fluid structure interaction route and predicted the flow behavior in time of the micropumping unit. The integrated fluid handling module has been thoroughly tested for viable transport of micro-organisms (E. Coli DH5ฮฑ cells) through micropumping chamber containing rough and smooth surface. It is found that smooth surface increases the cell viability during transportation of fluid containing microorganisms in comparison to rough surface. Whole micropumping system has an overall size of dimension (Length=90mm, Width=75mm and Depth=60mm), input voltage of 7.5 V DC and maximum flow rate of 497 microliter/min at atmospheric pressure and 45 microliter/minute at a back pressure of 500 mm of DI water. The technology so realized is quite useful for portable applications related to micro-scale fluid transport of viable biological samples.
8. Acknowledgement The authors would like to acknowledge the financial support of the National Program on Micro and Smart Structures through the funded project. The author also would like to thank Prof. R. Gurunath (Department of Chemistry, IIT Kanpur) for providing valuable laboratory support for culture of microorganisms. They would also like to thank the support obtained from DST unit of Nanosciences and also the 4i Laboratory of IIT Kanpur.
9. References: [1] J. Khandurina, T. E. McKnight, S. C. Jacobson, L. C. Waters, R. S. Foote , J. M. Ramsey, Integrated system for rapid PCR-based DNA analysis in microfluidic devices, Anal. Chem., 72 (2000) 2995-3000. [2] M. T. Taylor, P. Nguyen, J. Ching , K. E. Petersen , Simulation of microfluidic pumping in a genomic DNA blood-processing cassette, J. Micromech. Microeng.13(2003) 2. [3] S. Bรถhm, B. Timmer, W. Olthuis, P. Bergveld, A closed-loop controlled electrochemically actuated micro-dosing system, J. Micromech. Microeng.10 (2000) 498. [4] T. Bourouina, A. Bossebuf, J.P. Grandchamp, Design and simulation of an electrostatic micropump for drug-delivery applications, J. Micromech. Microeng. 7 (1997) 186. [5] Y. Huang, S. Liu, W. Yang and C. Yu, Surface roughness analysis and improvement of PMMA-based microfluidic chip chambers by CO2 laser cutting, Appl. Surf. Sci. 256 (2010) 1675-1678. [6] J. Yen Cheng, C. W.Wei, K. H. Hsu and T. H. Young, Direct-write laser micromachining and universal surface modification of PMMA for device development, Sens. Actuator B-Chem. 99 (2004) 186-196. [7] B. D. Iverson, S. V. Garimella, Recent advances in microscale pumping technologies: a review and evaluation, Microfluid Nanofluidics 5 (2008) 145-174. [8] S. Bรถhm, W. Olthuis, P. Bergveld, A plastic micropump constructed with conventional techniques and materials, Sens Actuators A Phys 77 (1999) 223-228.
[9] L. Sheng Jang, Y. Jie Li, S. Ju Lin, Y. Chu Hsu, W. Sung Yao, M. Ching Tsai, C. Cheng Hou, A stand-alone peristaltic micropump based on piezoelectric actuation, Biomedical microdevices, 9 (2007) 185-194. [10] O. Chan Jeong, S. S. Yang, Fabrication and test of a thermo pneumatic micropump with a corrugated p+ diaphragm, Sens Actuators A Phys 83 (2000) 249-255. [11] E. Meng, X. Q.Wang, H. Mak and Y.C. Tai, A check-valved silicone diaphragm pump, In Micro Electro Mechanical Systems, 2000, The Thirteenth Annual International Conference, 6267. [12] M. C. Carrozza, N. Croce, B. Magnani and P. Dario, A piezoelectric-driven stereolithography-fabricated micropump, J. Micromech.Microeng.5 (1995) 177. [13] N.Trung Nguyen, T.Q. Truong, A fully polymeric micropump with piezoelectric actuator, Sens. Actuator B-Chem. 97 (2004) 137-143. [14] T. Quang Truong, N.T. Nguyen, A polymeric piezoelectric micropump based on lamination technology, J. Micromech. Microeng.14 (2004) 632. [15] R. Kant, H. Singh, M. Nayak , S. Bhattacharya, Optimization of design and characterization of a novel micro-pumping system with peristaltic motion, Microsyst Technol 19(2013), 563-575. [16] X. Chen, C. C. Liu, H. Li, Microfluidic chip for blood cell separation and collection based on cross flow filtration, Sens. Actuator B-Chem.130 (2008), 216-221. [17] J. Lawrence, L. Li, Modification of the wettability characteristics of polymethyl methacrylate (PMMA) by means of CO2, Nd: YAG, excimer and high power diode laser radiation, Materials Science and Engineering, A303(2001) 142-149. [18] D. J. Laser, J. G. Santiago, A review of micropumps, J. Micromech. Microeng.14 (2004), R35.
[19] J. Goulpeau, D. Trouchet, A. Ajdari, P. Tabeling, Experimental study and modeling of polydimethylsiloxane peristaltic micropumps, J. Appl. Phys., 98 (2005), 044914. [20] E. Stemme, G. Stemme, A valveless diffuser/nozzle-based fluid pump, Sens. Actuator APhys., 39(1993) 159-167. [21] R. Zengerle, J. Ulrich, S. Kluge, M. Richter, A. Richter, A bidirectional silicon micropump, Sens. Actuator A-Phys., 50(1995), 81-86. [22] B. Husband, B. Minqiang, A. G. Evans , T. Melvin, Investigation for the operation of an integrated peristaltic micropump, J. Micromech. Microeng.14 (2004), S64. [23] Y. Chen, C. Zhang, M. Shi , G. P. Peterson, Role of surface roughness characterized by fractal geometry on laminar flow in microchannels, Phys. Rev. E 80 (2009) 026301. [24] N. C. Nayak, Y. C. Lam, C. Y. Yue ,A. T. Sinha, CO2-laser micromachining of PMMA: the effect of polymer molecular weight, J. Micromech. Microeng. 18 (2008) 095020. [25] Q. Heng, C. Tao, Z. Tie-chuan, Surface roughness analysis and improvement of microfluidic channel with excimer laser, Microfluid Nanofluid 2 (2006) 357-360. [26]J. Paulo Davim, N. Barricas, M. Conceicao ,C. Oliveira, Some experimental studies on CO2 laser cutting quality of polymeric materials, J Mater Process Tech, 198 (2008) 99-104. [27] M. Bahrami, M. M. Yovanovich , J. R. Culham, Pressure drop of fully developed, laminar flow in rough microtubes, J Fluid Eng-T ASME 128 (2006) 632-637. [28] D. Snakenborg, H. Klank, J. P. Kutter, Microstructure fabrication with a CO2 laser System, J. Micromech.Microeng.14 (2004) 182. [29] D. Sik Lee, J. S. Ko, Y. T. Kim, Bidirectional pumping properties of a peristaltic piezoelectric micropump with simple design and chemical resistance., Thin Solid Films 468 (2004) 285-290.
[30] J. G Smits, Piezoelectric micropump with three valves working peristaltically, Sens. Actuator A-Phys. 21(1990) 203-206. [31] H. T. G. V. Lintel, F. C. M. V. d. Pol , S. Bouwstra, A piezoelectric micropump based on micromachining of silicon, Sensors and actuators 15(1988) 153-167. [32] Si Shoji, S. Nakagawa, M. Esashi, Micropump and sample-injector for integrated chemical analyzing systems, Sens. Actuator A-Phys. 21 (1990) 189-192. [33] A. Olsson, G. Stemme, E. Stemme, A valve-less planar fluid pump with two pump chambers, Sens. Actuator A-Phys. 47 (1995) 549-556. [34] R. Zengerle, J. Ulrich, S. Kluge, M. Richter and Richter.A., A bidirectional silicon micropump, Sens. Actuator A-Phys. 50 (1995) 81-86. [35] IMM thinXXS XXS, 2000.[Online]. Available: www.thinxxs.com. [36] MIP Implantable product information, [Online]. Available: www.debiotech.sa. [37] M. Esashi, S. Shoji and A. Nakano, Normally close microvalve and micropump fabricated on a silicon wafer, In Micro Electro Mechanical Systems, 1989, Proceedings, An Investigation of Micro Structures, Sensors, Actuators, Machines and Robots, 29-34. [38] H. Q. Li, D. C. Roberts, J. L. Steyn, K. T. Turner, J. A. Carretero, O. Yaglioglu , Y. H. Su, A high frequency high flow rate piezoelectrically driven MEMS micropump, In Proceedings IEEE Solid State Sensors and Actuators Workshop, Hilton Head (2000). [39] A. Olsson, P. Enoksson, G. stemme , E. Stemme, Micromachined flat-walled valveless diffuser pumps, J. Microelectromech. Syst. 6 (1997) 161-166. [40] T. Gerlach, H. Wurmus, Working principle and performance of the dynamic micropump, Sens. Actuator A-Phys. 50 (1995) 135-140. [41] V. Gass, B. H. V. D. Schoot, S. Jeanneret and N. F. De Rooij, Integrated flow-regulated
silicon micropump., Sens. Actuator A-Phys. 43 (1994) 335-338. [42] A. Olsson, P. Enoksson, G. Stemme , E. Stemme, A valve-less planar pump isotropically etched in silicon, J. Micromech. Microeng.6 (1996) 87. [43] F. K. Forster, R. L. Bardell, M. A. Afromowitz, N. R. Sharma and A. Blanchard, "Design, fabrication and testing of fixed-valve micro-pumps, ASME-PUBLICATIONS-FED, 234(1995) 39-44. [44] M. Koch, N. Harris, A. G. Evans, N. M. White and A. Brunnschweiler, A novel micromachined pump based on thick-film piezoelectric actuation, In Solid State Sensors and Actuators1997. TRANSDUCERS'97 Chicago., 1997 International Conference, 1(1997) 353-356. [45] P. Griss, G. Stemme, Side-opened out-of-plane microneedles for microfluidic transdermal liquid transfer, J. Microelectromech. Syst. 12 (2003) 296-301. [46] S. S. Wang, X. Y. Huang ,C. Yang, Valveless micropump with acoustically featured pumping chamber, Microfluid Nanofluid 8 (2010) 549-555. [47] I. Biswas, R. Ghosh, M. Sadrzadeh, A. Kumar, Nonlinear deformation and localized failure of bacterial streamers in creeping flows, Sci. Rep. 6 (2016) 32204. [48] A. Cerf, J. C. Cau, C. Vieu, E. Dague, Nanomechanical properties of dead or alive singlepatterned bacteria, Langmuir 25(2009) 5731โ5736.
Rishi Kant received the B.Tech. degree in Mechanical Engineering from the University Institute of Engineering and Technology, Chhatrapati Shahu Ji Maharaj University, Kanpur, India, in 2004 and the M.E. degree in Mechanical Engineering from Delhi College of Engineering, University of Delhi, New Delhi, India, in 2007. He was a Research Assistant with the Design Manufacturing Integration (DFM) Laboratory, Indian Institute of Technology, New Delhi, from 2007 to 2008. He received his Ph.D. degree in mechanical engineering from IIT Kanpur, India. He is currently working as Project Scientist at the Indian Institute of Technology Kanpur. His research interests include Bio-MEMS, Microfluidics and Micro/Nanofabrication for fluidic, Diagnostics and other applications.
Dr. Deepak Singh received his B.Sc. degree in Botany and Chemistry from Udai Pratap College Varanasi and M.Sc. in Industrial Biotechnology from Chaudhary Charan Singh University Campus, Meerut, U.P., India. He is a Ph.D. with biochemistry specialization from Indian institute of Technology, Kanpur, India. Presently he is working as Project Scientist at I.I.T. Kanpur, India. His research interests include Microbial Biotechnology/ Protein Biochemistry/ Molecular Diagnostics.
Shantanu Bhattacharya received the B.S. degree in industrial and production engineering from the University of Delhi, New Delhi, India, in 1996, the M.S. degree in mechanical engineering from Texas Tech University, Lubbock, TX, USA, in 2003, and the Ph.D. degree in biological engineering from the University of Missouri, Columbia, MO, USA, in 2006.He was a Senior Engineer with Suzuki Motors Corporation from 1996 to 2002. He also completed postdoctoral training at the Birck Nanotechnology Center, Purdue University, West Lafayette, IN, USA, for one year. Currently, he serves as a Professor at the Department of Mechanical Engineering at the Indian Institute of Technology at Kanpur. His research interests include design and development of microfluidics and MEMS platforms for varied engineering applications.
Caption for figures and tables
Figure 1: 3-D plot of (1) Applied Voltage vs (2) Micro pump size vs (3) Back pressure has been generated out of the current state of art Figure: 2 (a) CAD drawing of prototype (b) Rapid prototyped portable micropump Figure 3: Various layers of piezo based micropump assembly Figure 4: Steps involved for two way coupled FSI (Fluid structure Interaction) Figure 5: (a) Representing piezoelectric, brass (structure), microfluidic domain (b) Represents meshed domains Figure 6: Schematic diagram of CO2 laser micromachining process and subsequent etch step Figure 7: (a) Reconstructed image of PMMA surface after wet etching at 50 ยฐC (b) Reconstructed 3D surface image of a post wet etched PMMA (c) Output measurement indicated Ra value of 458 nm. Figure 8: Flowchart of fabrication methodology Figure 9: Block Diagram for electronic control module of the Micropumping setup Figure 10: Observations related to the piezo deflection with applied voltages. Figure 11: Displacements of the piezo disc on application of DC voltage signal the center of the disc is the most deflected Figure 12 : Simulation for circular micropumping chamber (a) piezo disc deflection at upward position (suction stroke) (b) streamlines generated into circular chamber during suction stroke (c) piezo disc deflection at downward position (pumping stroke) (d) streamlines generated into circular chamber during pumping stroke Figure 13 : Simulation for modified micropumping chamber (a) piezo disc deflection at upward position (suction stroke) (b) streamlines generated into chamber during suction stroke (c) piezo disc deflection at downward position (pumping stroke) (d) streamlines generated into chamber during pumping stroke Figure 14: Net Flow rate during pumping at 128 Hz and 100 pulsed VDC. Figure 15: (a) Experimental flow rates with various actuation frequencies at different input volatage (b) ability to deliver against the pressure heads of water at DC voltages 65 and 100 V respectively
Figure 16: Bacterial cell viability before and after passing through micropump
Figure 10
Figure 11
Figure 12
Figure 14
Figure 15
Figure 15
Table 1: List of various references presented in Figure 1 with detailed specification of individual systems. Reference
Actuator
Micropumpโs body matrial
Diaphra gm material
Workin g fluid
Applied voltage(VPP )
Freque ncy(Hz)
Back pressure
Flow rate (ml/min)
Packag e Size(m m^3)
Portability size of complete system(mm^3)
(kPa)
Stemme 1993
Piezoelectri c(PZT)
Brass
Brass
Water
20
110
21
4.4
25000
N/R
Foster 1995
PZT
Si-glass
Glass
Water
150
114
N/R
0.038
N/R
N/R
Carrozza 1995
PZT
Polymer-brass
Brass
Water
300
70
25
2.7
1270
N/R
Bohm 1999
PZT
Plastic
Brass
Water
350
50
12
1.9
290
N/R
Thin 2003
PZT
Microinjection molded plastic
Plastic
Water
450
20
35
2.5
4600
N/R
Zengerle 1995
Electrostati c flap
Silicon
Silicon
Water
200
300
29
0.16
98
N/R
MIP Implantable 2003
PZT
Glass-Silicon
Silicon
Water
150
0.2
55
0.0017
357
N/R
Shozi 1990
PZT
Glass-Silicon
Silicon
Water
100
50
N/R
0.022
4000
N/R
Li 2000
PZT
Si-glass
Silicon
Silicon oil
1200
3500
304
3
3300
N/R
Van de Pol 1990
Thermo Pneumatic air
Glass-Silicon
Silicon
Water
6
1
5.1
0.034
3000
N/R
Jeong 2000
Thermo Pneumatic air
Glass-Silicon
Silicon
Water
8
4
0
0.014
N/R
N/R
Meng 2000
Pneumatic
Silicon-thermo plastic silicon
Silicon rubber
Water
N/A
5
5.9
3.9
N/R
N/R
XXS2000
rubber Bohm 1999
Electromag netic flap
Plastic
Silicon rubber
Water
5
50
10
2.1
1000
N/R
S.S. Wang 2010
PZT
PMMA
Adhesive layer
Water
150
55
1.4
0.6
N/R
N/R
Ling Sheng Jang 2007
PZT
Silicon-glass
Pyrex
Water,
150
100 kHz
3.2
0.122
1980
25x10^5
Blood
Table 2: Material and properties and layer sizes
Material
properties
Magnitude
Size of different layer
PZT-5A
๐ช๐ฌ Elasticity constant (Pa)
0 0 ๏น ๏ฉ12.03 7.52 7.51 0 ๏ช7.51 12.1 7.51 0 0 0 ๏บ๏บ ๏ช ๏ช7.51 7.51 11.1 0 0 0 ๏บ 10 ๏ช ๏บ ๏ด10 0 0 2.11 0 0 ๏บ ๏ช0 ๏ช0 0 0 0 2.11 0 ๏บ ๏ช ๏บ 0 0 0 0 2.26 ๏ป ๏ซ0
PZT thickness=60ยตm
layer
PZT layer diameter =12 mm Brass thickness=100ยตm
layer
Brass disc diameter =15 mm
๐ Coupling matrix(C/m2)
PDMS
๏ฉ0 ๏ช0 ๏ช ๏ช0 ๏ช ๏ช0 ๏ช12.29 ๏ช ๏ซ0
-5.35 ๏น 0 -5.35 ๏บ๏บ 0 15.78๏บ ๏บ 12.29 0 ๏บ ๏บ 0 0 ๏บ 0 0 ๏ป 0
๐๐ Dielectric permittivity (F/m)
0 ๏น ๏ฉ8.11 0 ๏ช0 8.11 0 ๏บ๏บ ๏ด10๏ญ9 ๏ช ๏ช๏ซ0 0 7.35๏บ๏ป
Density
965 kg/m3
Poisson ratio
0.49
Youngโs modulus
0.8 MPa
Fluid Density
997 kg/m3
(water)
Kinematic viscosity
0.0014 kg/m s
Nozzle/Diffuser angle and length is taken 7โฐ, 6 mm respectively.
Microorganism (E.
coli
DH5ฮฑ
cells (live cells))
Youngโs modulus [48]
2-3 MPa