List of contents and author index volume 14, 1976

International J ournal of Engineering Science List of Contents and Author bdex Volume

14,

PERGAMON OXFORD

NEW YORK

1976

PRESS PARIS

FRANKFURT

INTERNATIONAL

JOURNAL

OF ENGINEERING

SCIENCE

Board of Editors Editor-in-Chiefi Prof. A. C. ERINGEN, Solid Mechanics Program, Engineering Quadrangle,

Princeton University, Princeton, NJ 08540, U.S.A. Regional Editor: Prof. I. N. SNEDDON, Department

of Mathematics, University of Glasgow,

Scotland.

Editorial Advisory Board J. E. MAYER, La Jolla, Calif. J. MEIXNER, Aachen D. C. MONTWMERY, Iowa City, Iowa J. E. MOYAL, Canberra P. M. NAGHDI, Berkeley, Calif. B. NAYROLES, France W. NOWACKI, Warsaw S.-I. PAI, College Park, Md. P. I. POLOUBARINOVA-KOCHINA,Novosibirsk I. PRICWGINE.Brussels J. RICE, Providence, Rhode Island E. Soos, Bucarest A. J. M. SPENCER,Nottingham T. H. STIX, Princeton, NJ E. SUHIJBI, Istanbul L. G. SUTTORP, The Netherlands L. A. ZADEH, Berkeley, Calif.

C. A~~STINELLI, Turin

B. A. BILBY, Shefield B. CHALMERS, Cambridge, Mass. s. GX.t3MBo, PariS C. F. CIJR~SS, Madison, Wise. D. G. B. EDWIN, Bethlehem, Penna. H. EMMONS, Cambriripe, Mass. B. FINZI, Milan B. F~AEIJSDE VEUBEKE,Beaufav H. FRBHLICH, Liverpool H. GRAD, New York W. S. HEMP, Oxford J. KAMPBDE FERIET,Lille A. KANTROWITZ,Everett, Mass. W. T. KOITER, Derft K. KONDO, Tokyo E. KR~NER, Stuttgart A. LICHNEROWICZ, Paris

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LIST OF CONTENTS NUMBER 1 L. M. Keet: Two potential theory problems for a semi-infinite cylinder . . . . . . . . . . . . . J. J. McCoy and M. J. Beran: On the effective thermal conductivity of a random suspension of spheres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . J. D. Schmidt and R. A. Westmann: Transient gas flow through porous media . . . . . . . . . . R. R. Nachlinger and Jace W. Nunziato: Wave propagation and uniqueness theorems for elastic materials with internal state variables . . . . . . . . . . . . . . . . . . . . . . . . . K. Aderogba: The circulation produced within embedded liquid drops . . . . . . . . . . . . . A. E. Green: On the non-linear behaviour of fluid jets . . . . . . . . . . . . . . . . . . . . George J. Weng and An’s Phillips: On the kinematics of continuous distribution of dislocations in plasticity . . . . , . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . S. R. Patel: On first order reactants in homogeneous turbulence-numerical results . . . . . . . Goodarz Ahmadi: Stability of a micropolar fluid layer heated from below . . . . . . . . , . . . Melam P. Ranga Rao and Niranjan K. Purohit: Self-similar piston problem in non-ideal gas . . . . B. S. R. Rao, A. K. Kandya and S. Gopalacharyulu: Axial eigenfunctions for the axisymmetric problem of an elastic circular cylinder . . . _. . . . . . . . . . . . . . . . . . . . . Paul Yarriugton and Donald E. Carlson: Successive approbations in nonlinear t~~~l~ti~ity . H. S. Paul and P. R. Jatra: Vibrations of elastic infinite and semi-infinite media containing cracks .

NUMBER

7 19 31 39 49 65 75 tf 99 113 127

2

C. 0. Horgan and R. R. Nachlinger: On the domain of attraction for steady states in heat conduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Wiiiam A. Hyman: An extremum principle for infinite slow viscous flows containing particles . . . F. P. Erdogan and G. D. Gupta: Contact and crack problems for an elastic wedge . . . . . . . . C. Teodosiu and F. Sidoroff: A theory of finite elastoviscoplasticity of single crystals . . . . . . J. J. Golecki: Uncoupled solutions in elastostatics . . . . . . . . . . . . . . . . . . . . . I L. M. Brock: Non-symmetric extension of a small flaw into a plane crack at a constant rate under polynomi~-form loadings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . L. M. Brock: Symmetrical frictionfess inden~tion over a uniformly expanding contact region-I. Basic analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lee Kaminetzky: Diffraction by a corner on the edge of a wedge . . . . . . . . . . . . . . . 2. Mr6z and B. Raniecki: On the uniqueness problem in coupled thermoplasticity . . . . . . . . DominicG. B. Edelen: Ondissipativeprocesses in Lorentzianmanifolds . . . . . . . . . . . . M. F. Beatty and P. Dadras: Some experiments on the elastic stability of some highly elastic bodies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

NUMBER

1

143 149 1.55 164 111 181 191 201 211 223 233

3

. . . . . . . . . . . . W. D. k&Comb: Turbulent energy transfer in a nonlinear isotropic fluid R. K. Mittal: Flexure of a thin elastic ring due to a dynamic concentrated load . . . . . . . . . . Attila A&X Stability of nematic liquid crystals under a temperature gradient. Carnations for PAA . . . . . . . . . . . . . . . . ..**................... Joseph Padovan: Integral transform procedures for forced response of composite domain micropolar elasticity problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . B. S. Mazumder, A. S. Gupta and N. Datta: Hall effects on combined free and forced convective hydromagnetic flow through a channel . . . . . . . . . . . . . . . . . . . . . . . . . Shyam N. Prasad and K. Madhavan: Dual series solutions in composite domain pertaining to torsion of cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S. S. Lan and G. A. Mansoori: Pert~bation equation of state of pure fluids . . . . . . . . . . . Banabihari Misra and Bidhu R. Sen: Surface loads on granular material underlain by a rough rigid base, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

239 247 259 273 285 293 307 319

NUMRER 4 R. V. Goldstein and V. M. Vainshelbaum: Axisymmetric problem of a crack at the interface of layers in a multi-layered medium . . . . . . . . . . , . . . , . . . . . . . . . . . . . . . Dorin Iesan: Saint-Venant’s problem for inhomogeneous bodies . . . . . . . . . . . . . . . . . . . . George J. Dvorak and M. S. M. Rao: Axisymmetric plasticity theory of fibrous composites K. N. Mehta and R. Balasubramanyam: Hydromagnetic turbulent shear flow-1 . . . . . . . . . . . . . . . . . K. N. Mehtaand R. Balasubramanyam: Hydromagnetic turbulent shear flow-II . . Z. Mr6z. and B. Raniecki: A derivation of the uniqueness conditions in coupled thermoplasticity 6. E. Cardew and I. C. Howard: An edge-crack in an dastic strip and related problems in fracture mechanics and viscous flow . . . . . . . . . . . . . . . . . . . . . , . . . . . . .

335 353 361 375 385 39s 403

ii

Contents

NUMBER 5 Noor Afzal: Second-order effects in self-similar laminar compressible boundary-layer flows . . . Pave1 Sindelar: Application of an incremental method to the solution of general plane strain boundary value problems in finite elasticity-I. Incremental governing equations . . . . . . Pave1 Sindelar: Application of an incremental method to the solution of general plane strain boundary value problems in finite elasticity-II. Computer program and numerical results . . S. H. Lin: Diffusion of aerosols in a tube with turbulent flow C. E. Beevers: A Simplified two-fluid theory for helium(I1) . : : 1 1 : : : : : : : : : : : : : Y. S. Lou and C. Wang Temperature distribution in cylindrical packed beds . . . . . . . . . , Frederick R. Norwood: Correction and extension of Broberg’s results on brittle crack propagation . Announcement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

NUMBER

491 511 523 529 537 547 55.5

567 585 605 617 631 639

8

J. A. Belward: The propagation of small amplitude waves in prestressed incompressible elastic cylinders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..__ . . D. J. Malcom and P. G. Glockner: Variational principles for idealized sandwich shells A. D. K&wan, Jr., N. Newman and M.-S. Chang: On microdeformable fluids: a spe%l ‘c&d of microfluids . . . . . . . . . . . . . _ . . . . . . . . . . . . . . . . . . . . . . , A. D. Kiian, Jr. and M.-S. Chang: On the micropolar Ekman problem . . . . . . . . . . . . . R. R. Nachlinger and Jace W. Nunziato: Stability of uniform temperature fields in linear heat conductors with memory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. Avudainayagam: The effective viscosity of a dilute suspension of micropolar fluid particles in a viscous fluid . . . . . . . . . . . . . . . + . . . . . . . . . . . . . . . . . . . . C. Teodosiu and F. SidorofI: A finite theory off the elastoviscoplastici~ of single crystals . . . . . R. Burbridge: An iufbtencefunctionfor the intensity factor in tensile fracture . . . . . . . . . . L. M. Keer and V. K. Luk: Stress analysis of an elastic layer attached to an elastic half space of the same material . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . R. M. Kiihn: Retrodictive determinism . . . . . . . . . . . . . . . . . . . . . . . . . . S. C. Das and S. N. Poddar: Stress-intensity factors for a cruciform crack with equal arm in an infinite elastic strip of finite thickness . . . . . . . . . . . . . . . . . . . . . . . . . Ranjit S. Dhaliwal and Saleem M. Khan: The axisymmetric Boussineq problem for a semi-space in micropoI~~~ry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

NUMBER

439 449 457 467 477 489

7

J. Sanchez-Palencia-Hubert: Asymptotic study at infinity of supersonic flows of a dissipative fluid . T. B. Moodie, C. Rogers and D. L. Clements: Radial propagation of axial shear waves in an in~mpressible elastic material under finite deformation . . . . . . . . . . . . . . . . . J. N. Reddy: Variational principles for linear coupled dynamic theory of thermovisc~lasti~ity . . Shyam N. Prasad, Peter K. Ciu and Suman Dasgupta: Compression and sliding of an elastic rectangle fixed rigidly at the base . . . . . . . . , . . . . . . . . . . . . . . . . . . A. B. Datta and V. U. K. Sastry: Thermal instability of a horizontal layer of micropolar fluid heated from below . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Goodarz Ahmadi: Self-similar solution of incompressible micropolar boundary layer flow over a semi-ibid plate . . . . . I . . . . . . . . . . . . . . . . . . . . . . . . . _ . .

NUMBER

429

6

Vijay P. Bhatkar: Nonlocal variational theory andoptimalcontrolproblems . . . . . . . _. . M. P. Stallybrass and S. E. Scherer: Forced vertical vibration of a rigid elliptical disc on an elastic half-space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lam H. SGderholm: The principle of material frame-indifference and material equations of gases . P. I&a: On the mierocontinuam model of heat conduction in materials with inner structure . . . . Masakatsu Saito and Tatsuo Tokuoka: Mechanico-electromagnetic waves in elastic dielectric crystals in a magnetic field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . S.C.Gupta:Stressesinasemiinfinitestrip . . . . . . . . . . . . . . . . . . . . . . . . . R. J. Knops and B. Straughan: Continuous dependence theorems in the theory of linear elastic materials with micros~cture . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

NUMBER

415

647 661 673 685 693 703 713 725 735 749 755 769

9

H. Demiray and R. P. Vito: LArge deformation analysis of soft biomaterials D.S.~mhe~er:NoteonapaperbyM.Ben-Amos .....................

..........

789 795

.. . 111

Contents J. D. Achenbach, Z. P. BaZant and R. P. Khetan: Elastodynamic near-tip fields for a rapidly propagating interface crack . . . . ..I.......... J. D. Achenbach, Z. P. BaZant and B.‘P: Khe;an’: ‘Eiastodyuamic near-tip fields for a crack propagating along the interface of two orthotropic solids . . . . . . . . . , . . . . , . . Joseph Padovan: On solutions to multiply-connected nonself-adjoint systems subject to deterministic and nondeterministic excitations . . . . . . . . . . . . . . . . . . . . . K. S. Parihar and A. C. Garg: Two bonded strips containing an in&rite row of interface cracks . . . S. H. Zemell: New derivation of the exact sob&ion for the d&action of a cylindrical or spherical pulse by a wedge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . G. Ahmadi: Universal stability of the~o-magneto-micro~I~~uidmotions . . . . . . . . . . S. Itou: The effect of couple-stresses on stress concentrations around a circular hole in a ;trip under tension . . . . . . . _ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. S. W~liamson: The extraction of heat from a bulk medium through a thin, hilly-conducti~ disc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...+

NUMBER

819

831 845 853 861 869

883 895 915 925 935 947 963

11

K. N. Rai and R. N. Pandey: Boundary layer approach to heat and mass transfer in porous bodies of cylindrical geometry . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . , . J. A. Trapp: On the relationship between continuum mixture theory and integral averaged equations for immiscible fluids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . _ . . . P. Rafalskiz Minimum principles and uniqueness of strain for an elastic-plastic body . . . . . . . P. Rafalski: Miium principles for the stress field in an elastic-perfectly plastic body . . . . . . Dominic G. B. Edeten: A ~ermodynamics with internal degrees of freedom and nonconservative forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Robert L. Brown: A the~odyn~ic study of materials representable by integral expansions . . . G. V. K. Reddy and N. K. Venkatasubramanian: Saint-Venant’s problem for a micropolar elastic circular cylinder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . Ranjit S. Dhaliwal and Avtar Singh: Vertical crackinside a semi-infinite plane . . . . . . . , . .

NUMBER

811

10

Koiumban Rutter: Wave propagation and attenuation in para- or soft ferromagnetic materials-II. The influence of the direction of the magnetic field . . . . . . , . . , . , . . . . . . . . 3. F. de Veubeke: The dynamics of flexible bodies . . . . . . . . . . . . . . . . . . . . . D. C. Stouffer and A. M. Strauss: A continuum theory of degrading elastic solids with application to stress corrosion . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . J. Tweed and D. P. Rooke: The elastic problem for an in&rite solid containing a circular hole with a p~ofr~i~edgecracksofd~erentle~hs . . . . . . . . . . . . . . . . . . . . . . Abraham Ungar: Wave generation in an elastic half-shace by a normal point load moving uniformly over the free surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . D. C. Stocks: An experimental investigation of wave energy trapping . . . . . . . . . . . . . L. M. Brock: Interface tlaw extension under in-plane loadings . , . . . . . . . . . . . . . . .

NUMBER

797

97s 991 999 1005

1013 1033 1047 1059

12

G. G. Adams: Moving loads on elastic strips with one-sided constraints . . . . . . . . . . . . . M. J. Kenning: Existence and uniqueness of elastic-plastic interfaces . . . . . I . . . . . . . V. U. K. Sastry and C. V. V. Bhadram: Slow flow of a conducting fluid in a curved channel of rectanguhu cross section + . . . . . . . . . . . . . . . . . . . . . . . . , . . . . a D. A. Caulk: On the problem of fluid flow under a sluice gate . . . . . . . . . . . . . . . . . V. Vidyanidhi and M. S. Murty: The dispersion of a chemically reacting solute in a micropolar fluid 0. A. C. Graham: Stresses and displacements in cracked linear viscoelajstic bodies that are acted upon by alternating tensile and compressive loads . . . . . . . . . . . . . . . . . . . . J. Shstna and F. VodBk: Quasilinear generalization of Onsager thermodynamics . . . . . . . . I. C. Howard and P. Brierley: On the finite deformation of an inhomogeneity in a viscous liquid . . Charles B. Kafadar: On the propagation speed of heat in materials without memory . . . . . . .

1071 1085 1107 1115 1127 1135 1143 1151 1161

AUTHOR

INDEX

Achenbach, J. D., 797,811 Adams, G. G., 1071 Aderogba, K., 39 Afzal, N., 415 Abmadi, G., 81,639,853 Agkar, A., 259 Avudainayagam, A., 703

Horgan, C. O., 143 Howard, I. C., 403,1151 Hutter, K., 883 Hyman, W. A., 149

B~asubr~~y~, R., 375,385 B&ant, Z. P., 797,811 Beatty, M. F., 233 Beevers, C. E., 457 Belward, J. A., 647 Beran, M. J., 7 Bhadram, C. V. V., 1107 Bhatkar, V. P., 491 Brierley, P., 1151 Brock, L. M., 181,191, %3 Brown, R. L., 1033 Burbridge, R., 725

Jatra, P. R., 127

Cardew, 6. E., 403 Carlson, D. E., 113 Caulk, D. A., 1115 Cbang, M.-S., 673,685 Ciu, P. K., 617 Clements, D. L., 585 Dadras, P., 233

Das, S. C., 755 Dasgupta, S., 617 Datta, A. B., 631 Datta, N,, 285 Demiray, H., 789 de Vet&eke, B. F., 895 Dhahwal, R. S., 769,1059 DrumbelIer,D. S., V95 Dvorak, G. J., 361 Edelen, D. G. B., 223,1013

Erdogan, F. P., 155

Garg, A. C., 831 GIockner, P. G., 661 Goldstein, R. V., 335 Cole&i, J. J., 177 Gopalacharyulu, S., 99 Graham, G. A. C., 1135 Green, A. E., 49 GuD&.A. S.. 285 G&a; G. D, 155 Gupta, S. C., 547

Iegan, D., 353 Itou, S., 861

Kafadar, C. B., 1161 Kaminetzky, L., 201 Kandya, A. K., 99 Keer, L. M., 1,735 Kerming, M. J., 1085 Khan, S. M., 769 Khetau, R. P., 797,811 Kiehn. R. M., 749 Kirwan, Jr., A. D., 673,685 Kuops, R. J., 555 Lao, Lin, Lou, Luk,

s. s., 307 s. H., 449 Y. s., 467 V. K., 735

Madhavan, K., 293 Malcom, D. J., 661 Mansoori, G. A., 307 Mazumder, B. S., 285 McComb,

Purohit, N. K., 91

Rafalski, P., 999,1005 Rai, K. N., 975 Ranga Rae, M. P., 91

Raniecki, B., 211,395 Rao, B. S. R.. 99 Rao, M. S. M., 361 Reddv. 6. V. K.. 1047 Reddy; J. N., 605 Rlha, P., 529 Rogers, C., 585 Rooke, D. P., 925

Saito, M., 537 Sanchez-Palencia-Hubert, J,, 567 Sastry, V. U. K., 631,1107 Scherer, S. E., 511 Schmidt, J. D., 19 Sen, B. R., 319 Sidoroff, F., 165,713 Sindehu, P., 429,439 Sin& A., 1059 Siiderholm, L. H., 523 Stallybrass, M. P., 511 &a&a, J., 1143 Stocks. D. C.. 947 Stouifer, D. d., 915 Straughan, B., 555 Strauss, A. M., 915

W. D., 239

McCoy, J. J., 7 Me&a. K, N.. 375.385 Misra,‘B., 319 ’ Mittal, R. K., 247 Moodie, T. B., 585 Mrbz, Z., 211,395 Murty, M. S., 1127

Nachlinger, R. R., 31,143 693 Newman, N., 673 Norwood, F. R., 477 Nunziato, J. W., 31,693

Padovan, J., 273,819 Pandey, R. N., 975 Parihar, K. S., 831 Patek S. R., 75 Paul, H. S., 127 Phillins. A.. 65

Podd&; S. N., 755 Prasad, S. N., 293,617

Teodosiu, C., 165,713 Tokuoka, T., 537 Trapp, J. A., 991 Tweed, J., 925 Ungar, A., 935 Vainshelbaum, V. M., 335 Ve~a~ubrama~, N. K., 1047 Vidyanidhi, V., 1127 Vito, R. P., 789 Vodrlk, F., 1143

Wang, C., 467 Weng, G. J., 65 Wes~~, R. A,, 19 Williamson, A. S., 869

Yarrington, P., 113