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Material and geometrical nonlinearities FEM and BEM analyses
Finite Elements in Analysis and Design 38 (2002) 307–317 www.elsevier.com/locate/ nel
Material and geometrical nonlinearities FEM and BEM analyses A bibliography (1998–2000) Jaroslav Mackerle Linkoping Institute of Technology, Department of Mechanical Engineering, S-581 83 Linkoping, Sweden
Abstract This bibliography contains references to papers, conference proceedings and theses/dissertations dealing with material and geometrical nonlinearities implemented into the nite element and boundary element methods that were published in 1998-2000. ? 2002 Elsevier Science B.V. All rights reserved. Keywords: Coupled material and geometrical nonlinearity; Finite element method; Boundary element method; Bibliography
1. Introduction This bibliography provides a list of references on material and geometrical nonlinearities implemented into the nite element and boundary element methods (FEM and BEM). General solution techniques as well as problem-speci c applications are included. The entries have been retrieved from the author’s database, MAKEBASE. They are grouped into two main sections: • Finite elements • Boundary elements
The references have been published in scienti c journals, conference proceedings, and theses/ dissertations between 1998-2000 [1–188]; [213,214]. Some previously published reviews, theses and books on material and geometrical nonlinearities analysed by FEM and BEM in general can be found in entries [189–212] of the Finite element methods section and in [215 –225] of the Boundary element methods section of this bibliography, respectively. The references are sorted in each category alphabetically according to the rst author’s name. E-mail address: [email protected] (J. Mackerle). 0168-874X/02/$ - see front matter ? 2002 Elsevier Science B.V. All rights reserved. PII: S 0 1 6 8 - 8 7 4 X ( 0 1 ) 0 0 0 5 8 - 0
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The main topics include: material and geometrical nonlinear, static and dynamic analyses in 2D and 3D; constitutive modelling; large deformation plasticity and viscoplasticity; large deformation elastoplasticity; nite deformation rate-dependent plasticity; elasto-viscoplastic analysis with geometrical nonlinearities; hyperelastic viscoplastic large deformation problems; elastoplastic large strain large displacement analysis; large strain deformation plasticity; large strain elastoplasticity; large strain viscoplasticity; hyperelastic large strain analysis; large inelastic strain analysis; large deformation thermoplasticity; large deformation dynamic plasticity; poroplasticity at nite strains; elastoplastic consolidation at nite strains; incompressibility in large strain elastoplastic problems; anisotropic elastoplasticity for large strain analysis; multisurface plasticity at nite strains; coupled elastoplasticity and damage for nite deformations; pressure-dependent elastoplasticity at nite strains; contact and impact in large deformation/strain problems; localization analysis; nite element development for nonlinear problems- beams, plates, shells, tubes, 3D solids; locking problems; numerical integration; mathematical aspects of nite element formulations; adaptive methods in material and geometrical nonlinearities; parallel implementation; remeshing problems; object oriented programming. Applications in: contact problems; fracture mechanics; damage analysis; geomechanics; oCshore; frameworks; material physics; manufacturing processes; metal forming; sheet metal forming; metal powder forming; machining. Engineering materials: metals; steels; aluminum; polymers; rubbers; elastomers; composites; soils; porous materials; sand; masonry; adhesives; crystalline solids; polycrystalline materials; functionally graded materials. References Finite element methods: Papers in journals/conference proceedings and theses [1] M. Adams, R.L. Taylor, Parallel multigrid solvers for 3D-unstructured large deformation elasticity and plasticity nite element problems, Finite Elements Anal. Des. 36 (3/4) (2000) 197–214. [2] M.F. Adams, Parallel multigrid solvers for 3D unstructured nite element problems in large deformation elasticity and plasticity, Int. J. Numer. Meth. Eng. 48 (8) (2000) 1241–1262. [3] F.M. Arif et al., Performance of a nite element procedure for hyperelastic-viscoplastic large deformation problems, Finite Elements Anal. Des. 34 (1) (2000) 89–112. [4] F. Armero, On the stability of nite element formulations in nite strain elastoplasticity, Proceedings of the Fourth World Congress of Computer Mechanics, Buenos Aires, 1998, p. 371. [5] F. Armero, Formulation and nite element implementation of a multiplicative model of coupled poro-plasticity at nite strains under fully saturated conditions, Comput. Meth. Appl. Mech. Eng. 171 (3/4) (1999) 205–241. [6] F. Armero, On the locking and stability of nite elements in nite deformation plane strain problems, Comput. & Struct. 75 (3) (2000) 261–290. [7] F. Armero, C. Callari, Strong discontinuities in fully saturated elastoplastic porous media at nite strains, Proceedings of the Fourth World Congress on Computational Mechanics, Buenos Aires, 1998, p. 613. [8] F. Auricchio, R.L. Taylor, A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes, Int. J. Plasticity 15 (12) (1999) 1359–1378. [9] D. Balagangadhar, D.A. Tortorelli, Design of large-deformation steady elastoplastic manufacturing processes, Part I: displacement-based reference frame formulation, Int. J. Numer. Meth. Eng. 49 (7) (2000) 899–932. [10] D. Balagangadhar, D.A. Tortorelli, Design of large-deformation steady elastoplastic manufacturing processes, Part II: Sensitivity analysis and optimization, Int. J. Numer. Meth. Eng. 49 (7) (2000) 933–950.
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[163] S. Sridhar et al., Estimation of temperature in rubber-like materials using non-linear nite element analysis based on strain history, Finite Elements Anal. Des. 31 (2) (1998) 85–98. [164] S. Sridhar et al., Estimation of temperature in rubber-like materials using non-linear nite element analysis based on strain history, Finite Elements Anal. Des. 31 (4) (1999) 281–294. [165] A. Srikanth, N. Zabaras, A computational model for the nite element analysis of thermoplasticity coupled with ductile damage at nite strains, Int. J. Numer. Meth. Eng. 45 (11) (1999) 1569–1605. [166] S. Srpcic, Viscous creep of steel structures in re, Z. Angew. Math. Mech. 80 (S2) (2000) 555–556. [167] A. Staroselsky, L. Anand, Modeling of inelastic deformation of FCC single- and polycrystalline materials with low stacking fault energies, in: Multiscale Model. Mater., MRS, 1999, pp. 515 –521. [168] P. Steinmann, A model adaptive strategy to capture strong discontinuities at large inelastic strains, Proceedings of the Fourth World Congress on Computational Mechanics, Buenos Aires, 1998, p. 627. [169] P. Steinmann, P. Betsch, A localization capturing FE-interface based on regularized strong discontinuities at large inelastic strains, Int. J. Solids Struct. 37 (30) (2000) 4061–4082. [170] L.H. Teh, M.J. Clarke, Plastic-zone analysis of 3D steel frames using beam elements, J. Struct. Eng. ASCE 125 (11) (1999) 1328–1337. [171] C.W.S. To, M.L. Liu, Large nonstationary random responses of shell structures with geometrical and material nonlinearities, Finite Elements Anal. Des. 35 (1) (2000) 59–77. [172] J. Toribio, V. Kharin, Finite deformation analysis of cyclic elastoplastic crack-tip elds and implications for fatigue fracture, Proceedings of the Fatigue ’99, Higher Education Press, China, 1999, pp. 705 –710. [173] P. Tugcu, K.W. Neale, On the implementation of anisotropic yield functions into nite strain problems of sheet metal forming, Int. J. Plasticity 15 (10) (1999) 1021–1040. [174] V. Tvergaard, ECect of large elastic strains on cavitation instability predictions for elastic–plastic solids, Int. J. Solids Struct. 36 (35) (1999) 5453–5466. [175] K. Uetani et al., Symmetry limit theory for elastic-perfectly plastic continua in the shakedown region, J. Mech. Phys. Solids 48 (10) (2000) 2035–2056. [176] W.M. Wang, L.J. Sluys, Formulation of an implicit algorithm for nite deformation viscoplasticity, Int. J. Solids Struct. 37 (48) (2000) 7329–7348. [177] Z. Waszczyszyn, M. Janus-Michalska, Numerical approach to the exact nite element analysis of in-plane nite displacements of framed structures, Comput. & Struct. 69 (4) (1998) 525–535. [178] D. Weichert, A. Hachemi, InJuence of geometrical nonlinearities on the shakedown of damaged structures, Int. J. Plasticity 14 (9) (1998) 891–907. [179] P. Wriggers, R. Eberlein, A nite element method for shells undergoing nite inelastic deformations, Proceedings of the Fourth World Congress on Computational Mechanics, Buenos Aires, 1998, p. 523. [180] P. Wriggers, C. Han, An adaptive nite element method for shells undergoing nite inelastic deformations, Proceedings of the Fourth World Congress of Computer Mechanics, Buenos Aires, 1998, p. 984. [181] Q.D. Yang et al., Numerical simulations of adhesively-bonded beams failing with extensive plastic deformation, J. Mech. Phys. Solids 47 (6) (1999) 1337–1353. [182] Z. Yao et al., Honeycomb sandwich shell and its nonlinear static and dynamic analysis, Proceedings of the Fourth World Congress of Computer Mechanics, Buenos Aires, 1998, p. 344. [183] Yi Zheng et al., Ductility of thin-walled steel box stub-columns, J. Struct. Eng. ASCE 126 (11) (2000) 1304–1311. [184] Y. You, Calculation of drawbead restraining forces with the Bauschinger eCect, Proc. Inst. Mech. Eng. Part J 212 (7) (1998) 549–553. [185] N. Zabaras, A. Srikanth, Using objects to model nite deformation plasticity, Eng. Comput. 15 (1) (1999) 37–60. [186] N. Zabaras, A. Srikanth, An object-oriented programming approach to the Lagrangian FEM analysis of large inelastic deformations and metal-forming processes, Int. J. Numer. Meth. Eng. 45 (4) (1999) 399–445. [187] N. Zabaras et al., A Lagrangian sensitivity analysis for nite inelastic deformations and metal forming processes, Proceedings of the Fifth US National Congress on Computational Mechanics, Boulder, 1999, pp. 466. [188] Q. Zeng, A. Combescure, A new one-point quadrature, general non-linear quadrilateral shell element with physical stabilization, Int. J. Numer. Meth. Eng. 42 (7) (1998) 1307–1338.
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Material and geometrical nonlinearities FEM and BEM analyses A bibliography (1998–2000) Jaroslav Mackerle Linkoping Institute of Technology, Department of Mechanical Engineering, S-581 83 Linkoping, Sweden
Abstract This bibliography contains references to papers, conference proceedings and theses/dissertations dealing with material and geometrical nonlinearities implemented into the nite element and boundary element methods that were published in 1998-2000. ? 2002 Elsevier Science B.V. All rights reserved. Keywords: Coupled material and geometrical nonlinearity; Finite element method; Boundary element method; Bibliography
1. Introduction This bibliography provides a list of references on material and geometrical nonlinearities implemented into the nite element and boundary element methods (FEM and BEM). General solution techniques as well as problem-speci c applications are included. The entries have been retrieved from the author’s database, MAKEBASE. They are grouped into two main sections: • Finite elements • Boundary elements
The references have been published in scienti c journals, conference proceedings, and theses/ dissertations between 1998-2000 [1–188]; [213,214]. Some previously published reviews, theses and books on material and geometrical nonlinearities analysed by FEM and BEM in general can be found in entries [189–212] of the Finite element methods section and in [215 –225] of the Boundary element methods section of this bibliography, respectively. The references are sorted in each category alphabetically according to the rst author’s name. E-mail address: [email protected] (J. Mackerle). 0168-874X/02/$ - see front matter ? 2002 Elsevier Science B.V. All rights reserved. PII: S 0 1 6 8 - 8 7 4 X ( 0 1 ) 0 0 0 5 8 - 0
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The main topics include: material and geometrical nonlinear, static and dynamic analyses in 2D and 3D; constitutive modelling; large deformation plasticity and viscoplasticity; large deformation elastoplasticity; nite deformation rate-dependent plasticity; elasto-viscoplastic analysis with geometrical nonlinearities; hyperelastic viscoplastic large deformation problems; elastoplastic large strain large displacement analysis; large strain deformation plasticity; large strain elastoplasticity; large strain viscoplasticity; hyperelastic large strain analysis; large inelastic strain analysis; large deformation thermoplasticity; large deformation dynamic plasticity; poroplasticity at nite strains; elastoplastic consolidation at nite strains; incompressibility in large strain elastoplastic problems; anisotropic elastoplasticity for large strain analysis; multisurface plasticity at nite strains; coupled elastoplasticity and damage for nite deformations; pressure-dependent elastoplasticity at nite strains; contact and impact in large deformation/strain problems; localization analysis; nite element development for nonlinear problems- beams, plates, shells, tubes, 3D solids; locking problems; numerical integration; mathematical aspects of nite element formulations; adaptive methods in material and geometrical nonlinearities; parallel implementation; remeshing problems; object oriented programming. Applications in: contact problems; fracture mechanics; damage analysis; geomechanics; oCshore; frameworks; material physics; manufacturing processes; metal forming; sheet metal forming; metal powder forming; machining. Engineering materials: metals; steels; aluminum; polymers; rubbers; elastomers; composites; soils; porous materials; sand; masonry; adhesives; crystalline solids; polycrystalline materials; functionally graded materials. References Finite element methods: Papers in journals/conference proceedings and theses [1] M. Adams, R.L. Taylor, Parallel multigrid solvers for 3D-unstructured large deformation elasticity and plasticity nite element problems, Finite Elements Anal. Des. 36 (3/4) (2000) 197–214. [2] M.F. Adams, Parallel multigrid solvers for 3D unstructured nite element problems in large deformation elasticity and plasticity, Int. J. Numer. Meth. Eng. 48 (8) (2000) 1241–1262. [3] F.M. Arif et al., Performance of a nite element procedure for hyperelastic-viscoplastic large deformation problems, Finite Elements Anal. Des. 34 (1) (2000) 89–112. [4] F. Armero, On the stability of nite element formulations in nite strain elastoplasticity, Proceedings of the Fourth World Congress of Computer Mechanics, Buenos Aires, 1998, p. 371. [5] F. Armero, Formulation and nite element implementation of a multiplicative model of coupled poro-plasticity at nite strains under fully saturated conditions, Comput. Meth. Appl. Mech. Eng. 171 (3/4) (1999) 205–241. [6] F. Armero, On the locking and stability of nite elements in nite deformation plane strain problems, Comput. & Struct. 75 (3) (2000) 261–290. [7] F. Armero, C. Callari, Strong discontinuities in fully saturated elastoplastic porous media at nite strains, Proceedings of the Fourth World Congress on Computational Mechanics, Buenos Aires, 1998, p. 613. [8] F. Auricchio, R.L. Taylor, A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes, Int. J. Plasticity 15 (12) (1999) 1359–1378. [9] D. Balagangadhar, D.A. Tortorelli, Design of large-deformation steady elastoplastic manufacturing processes, Part I: displacement-based reference frame formulation, Int. J. Numer. Meth. Eng. 49 (7) (2000) 899–932. [10] D. Balagangadhar, D.A. Tortorelli, Design of large-deformation steady elastoplastic manufacturing processes, Part II: Sensitivity analysis and optimization, Int. J. Numer. Meth. Eng. 49 (7) (2000) 933–950.
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[11] G.M. Barsan, C.G. Chiorean, Computer program for large deJection elasto-plastic analysis of semi-rigid steel frameworks, Comput. & Struct. 72 (6) (1999) 699–711. [12] Y. Basar, A. Eckstein, Large inelastic strain analysis by multilayer shell elements, Acta Mech. 141 (3/4) (2000) 225–252. [13] Y. Basar, M. Itskov, Constitutive model and nite element formulation for large strain elasto-plastic analysis of shells, Comput. Mech. 23 (5/6) (1999) 466–481. [14] K.J. Bathe et al., Advances in crush analysis, Comput. & Struct. 72 (1/3) (1999) 31–47. [15] C. Benjamin et al., Geometric and material nonlinear analysis of oCshore framed structures, Proceedings of the Nineth International OCshore Polar Engineering Conference, ISOPE, Vol. 4, 1999, pp. 286 – 291. [16] P. Betsch, E. Stein, Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains, Comput. Meth. Appl. Mech. Eng. 179 (3/4) (1999) 215–245. [17] M. BischoC, E. Ramm, Theory and numerics of a three-dimensional shell model, Proceedings of the fth US National Congress on Computational Mechanics, Boulder, 1999, pp. 163–164. [18] E. Bittencourt, G.J. Creus, Finite element analysis of three-dimensional contact and impact in large deformation problems, Comput. & Struct. 69 (2) (1998) 219–234. [19] R.I. Borja, C. Tamagnini, Cam-clay plasticity, Part III: Extension of the in nitesimal model to include nite strains, Comput. Meth. Appl. Mech. Eng. 155 (1/2) (1998) 73–95. [20] R.I. Borja et al., Elastoplastic consolidation at nite strain, Part 2: Finite element implementation and numerical examples, Comput. Meth. Appl. Mech. Eng. 159 (1/2) (1998) 103–122. [21] M. Brunig, Nonlinear nite element analysis based on a large strain deformation theory of plasticity, Comput. & Struct. 69 (1) (1998) 117–128. [22] M. Brunig, Numerical analysis and modeling of large deformation and necking behavior of tensile specimens, Finite Elements Anal. Des. 28 (4) (1998) 303–319. [23] M. Brunig, Numerische Modellierung des plastischen Fliessens kristalliner Festkorper, Z. Angew. Math. Mech. 78 (S1) (1998) 307–308. [24] M. Brunig, Formulation and numerical treatment of incompressibility constraints in large strain elastic-plastic analysis, Int. J. Numer. Meth. Eng. 45 (8) (1999) 1047–1068. [25] M. Brunig, Large strain elastic-plastic theory and nonlinear nite element analysis based on metric transformation tensors, Comput. Mech. 24 (3) (1999) 187–196. [26] M. Brunig, Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids, Int. J. Plasticity 15 (11) (1999) 1237–1264. [27] M. Brunig, H. Obrecht, Finite elastic-plastic deformation behaviour of crystalline solids based on a nonassociated macroscopic Jow rule, Int. J. Plasticity 14 (12) (1998) 1189–1208. [28] H.L. Cao, M. Potier-Ferry, An improved iterative method for large strain viscoplastic problems, Int. J. Numer. Meth. Eng. 44 (2) (1999) 155–176. [29] E. Car et al., An anisotropic elastoplastic constitutive model for large strain analysis of ber reinforced composite materials, Comput. Meth. Appl. Mech. Eng. 185 (2/4) (2000) 245–277. [30] F.L. Carranza et al., An adaptive space-time nite element model for oxidation-driven fracture, Comput. Meth. Appl. Mech. Eng. 157 (3/4) (1998) 399–423. [31] C. Carstensen, K. Hackl, On microstructures occurring in a model of nite strain elastoplasticity involving a single slip system, Z. Angew. Math. Mech. 80 (S2) (2000) 421–422. [32] C.C. Celigoj, Finite deformation coupled thermomechanical problems and generalized standard materials, Int. J. Numer. Meth. Eng. 42 (6) (1998) 1025–1043. [33] C.C. Celigoj, On strong discontinuities in anelastic solids. A nite element approach taking a frame indiCerent gradient of the discontinuous displacements, Int. J. Numer. Meth. Eng. 49 (6) (2000) 769–796. [34] G.J. Creus, Instability and damage eCects in the modeling of metal forming, Comput. Meth. Appl. Mech. Eng. 182 (3/4) (2000) 421–437. [35] G.J. Creus, E. Bittencourt, Instability and damage eCects in the modeling of metal forming, Proceedings of the Fourth World Congress on Computational Mechanics, Buenos Aires, 1998, p. 1101. [36] M.A. Cris eld, V. Norris, A stabilised large strain elasto-plastic Q1-P0 method, Int. J. Numer. Meth. Eng. 46 (4) (1999) 579–592.
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