International Journal of Engineering Science List of Contents and Author Index Volume 31, 1993 INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE Incorporating: Letters in Applied and Engineering Sciences Board of Editors Editor-in-Chief : Dr A. Cemat Erincen, International Journal of Engineering Science, 129 Broadmead Street, Princeton, NJ 08540-7201, U.S.A. Assistant to the Editor: LEYLA O’BRIEN Associate Editors Professor C. G. SpeziALE, Department of Aerospace and Mechanical Engineering, Boston University, 110 Cummington Street, Boston, MA 02215, U.S.A. Professor E. S. Sunusi, Istanbul Teknik Universitesi, Fen-Edebiyat Fakultesi, Muhendislik Bilimleri Bolumu, 80626 Maslak, Istanbul, Turkey Professor J. T. Open, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712, U.S.A. Honorary Members Professor I. N. SNEppon, Department of Mathematics, University of Glasgow, Scotland Professor S.-I. Pat, Institute for Physical Science and Technology, Department of Aerospace Engineering, University of Maryland, College Park, MD 20742, U.S.A. Editorial Advisory Board S.-I. AMARI, Japan G. Mauain, France I. Pricocine, Brussels A. BEDForRD, Austin, TX S. MiInAGAwa, Japan K. A. RACHMATULIN, Moscow S. A. BerGer, Berkeley, CA T. Mura, Evanston, IL K. R. RAJAGOPAL, Pittsburgh, PA B. A. Bitsy, Sheffield F. R. N. NABARRO, Johannesburg, G. F. SmitH, PA S. R. Bopner, Israel South Africa E. Sods, Bucharest H. Demiray, Turkey P. M. NaGup1, Berkeley, CA A. J. M. Spencer, Nottingham D. G. B. EpELEN, Bethlehem, PA J.T. ODEN, Austin, TX C. SPEZIALE, Boston, MA J. Hutcuinson, Cambridge, MAR. W. OGpEN, Glasgow I. StAKGOLD, DE K. Konno, Tokyo Z. OLEsIAK, Warsaw E. S. SuHusi, Istanbul E. Kroner, Stuttgart S.-I. Pat, College Park, MD C. WeE1-ZaAnG, China S. B. Pore, New York Publishing Office Pergamon Press Ltd, Pergamon House, Bampfylde Street, Exeter EX1 2AH, England (Tel. 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List of Contents NUMBER 1 Eveline Herve and Andre Zaoui n-Layered inclusion-based micromechanical modelling Pham Duc Chinh Bounds on the effective shear modulus of multiphase materials Harold Ramkissoon and Unsteady motion of a sphere in an elastico-viscous fluid Han Shifang Gérard A. Maugin Thermomechanical equations of magnetic fluids Janusz Badur Pure gauge theory of the Cosserat surface J. C. Reginato and D. A. Tarzia The balance integral method applied to root growth of crops B. N. Mandal and Uma Basu Waves due to a line source in the presence of small bottom deformation Jim Rulla A priori estimates for the optimal control of an oscillating water column Réne Souchet Analytical dynamics of rigid body impulsive motions Mehrdad Negahban, Simulation of mechanical response in polymer crystal- Alan S. Wineman and lization Ruo-Juan Ma T. K. V. Iyengar and Stokes flow of an incompressible micropolar fluid past D. Srinivasa Charya an approximate sphere Ko-Fei Liu and Chiang C. Mei Long waves in shallow water over a layer of Bingham- plastic fluid-mud—I. Physical aspects Ko-Fei Liu and Chiang C. Mei Long waves in shallow water over a layer of Bingham- plastic fluid-mud—II. Mathematical derivation of long wave equations V. K. Kalpakidis and Tiersten’s theory of thermoelectroelasticity: an extension C. V. Massalas Dominic G. B. Edelen Gauge theory for an elementary dissipative process Ernest H. MacMillan On the equations of rigid body motion Peter I. Kattan and A plasticity-damage theory for large deformation of George Z. Voyiadjis solids—II. Applications to finite simple shear NUMBER 2 B. Q. Li The magnetothermal phenomena in electromagnetic levitation processes Z. Hryniewicz Dynamic response of coupled foundations on layered random medium for out-of-plane motion iv List of Contents P. D. S. Verma and On the low-Reynolds number magnetic fluid flow in a Paras Ram helical pipe R. Sekar, G. Vaidyanathan and The ferroconvection in fluids saturating a rotating A. Ramanathan densely packed porous medium Edvige Pucci and On the controllable states of elastic dielectrics and Giuseppe Saccomandi magnetoelastic solids Cheng-Ren Lin and Hydromagnetic flow and heat transfer about a fluid Cha’o-Kuang Chen underlying the axisymmetric spreading surface W. T. Ang and G. Noone Arbitrarily-located multiple planar cracks in an elastic slab under antiplane shear stresses: a hypersingular integral formulation M. A. Chaiko and P. A. Blythe Influence of nuclear heating on two-phase channel instabilities A. K. Jaiswal, Hydrodynamics of creeping flow of power law fluids T. Sundararajan and through particle assemblages R. P. Chhabra Metin Demiralp and Lie algebraic factorization of multivariable evolution Hersche! Rabitz operators: definition and the solution of the canonical problem Metin Demiralp and Lie algebraic factorization of multivariable evolution Herschel Rabitz operators: convergence theorems for the canonical case Announcements NUMBER 3 John R. Cannon and A numerical procedure for diffusion subject to the Alec L. Matheson specification of mass A. Ting, T. Q. Hua, Liquid-metal flow in a rectangular duct with thin metal J. S. Walker and walls and with a non-uniform magnetic field B. F. Picologlou Fumihiro Ashida, Response of a piezothermoelastic plate of crystal class Theodore R. Tauchert and 6mm subject to axisymmetric heating Naotake Noda K. Frischmuth, W. Kosinski and Free vibrations of finite-memory material beams T. Lekszycki Shragga Irmay New exact solutions of the Navier-Stokes equations near a plane Ravi Mahajan, F. Erdogan and The crack problem for an orthotropic half-plane Y. T. Chou stiffened by elastic films List of Contents Tungyang Chen Interfacial discontinuities in thermal conductions Amy Li and Goodarz Ahmadi Deposition of aerosols on surfaces in a turbulent channel flow A. I. Leonov and A. Srinivasan Self-oscillations of an elastic plate sliding over a smooth surface Andrzej Shuzalec Elastic stresses in porous material undergoing thermal loading I. Demir, J. P. Hirth and Interaction between two interfacial circular ring H. M. Zbib dislocations J. L. Wegner Propagation of waves from a spherical cavity in an unbounded linear viscoelastic solid Alfred Zmitrowicz Constitutive equations for anisotropic wear NUMBER 4 R. C. Batra and K. I. Ko Analysis of shear bands in dynamic axisymmetric compression of a thermoviscoplastic cylinder M. P. Vonderwell and D. N. Riahi Weakly non-linear development of rotating disk flow Zenon Rychter A family of shear-deformation beam theories and a refined Bernoulli—Euler theory J. P. Bourne and J. R. Walton On a dynamically accelerating crack in an Achenbach- Chao viscoelastic solid H. Ishikawa and Y. Kohno On the stress functions for the stress field around an interface crack between dissimilar materials Dinesh Kumar, Peeyush Chandra Ferrofluid lubrication of externally pressurized circular and Prawal Sinha plates and conical bearings A. Cemal Eringen An assessment of Director and Micropolar theories of liquid crystals Q.-S. Zheng and A. J. M. Spencer On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry problems D. Mansutti, G. Pontrelli and Non-similar flow of a non-Newtonian fluid past a wedge K. R. Rajagopal A. Karafiat, J. T. Oden and Variational formulations and hp—boundary element P. Geng approximations for hypersingular integral equations for Helmholtz exterior boundary-value problems in two dimensions Letters in Applied and Engineering Sciences V. Berdichevsky Generalized equipartition law List of Contents NUMBER 5 Q.-S. Zheng and Tensors which characterize anisotropies A. J. M. Spencer A. Andreadou, D. F. Parker Some exact dynamic solutions in nonlinear elasticity and A. J. M. Spencer Liyong Tong Free vibration of orthotropic conical shells Yoshiaki Okui, Hideyuki Horii A continuum theory for solids containing microdefects and Narioki Akiyama T. K. Karalis Water flow in non-saturated swelling soil L. Librescu, O. Song and Adaptive vibrational behavior of cantilevered structures C. A. Rogers modeled as composite thin-walled beams Zhi-He Jin and Naotake Noda An internal crack parallel to the boundary of a non- homogeneous half plane under thermal loading E. Smith J integral solutions for a general bending—tension model Amir M. Kaynia and Fundamental solutions of Biot’s equations of dynamic Prasanta K. Banerjee poroelasticity NUMBER 6 Ridha Abid Evaluation of two-equation turbulence models for predicting transitional flows Ch. Zhang and D. Gross Wave attenuation and dispersion in randomly cracked solids—I. Slit cracks Ch. Zhang and D. Gross Wave attenuation and dispersion in randomly cracked solids—II. Penny-shaped cracks Yongnian Yang and Numerical study of viscous flow in a rotating rectangular Laszlo Fuchs channel Rasajit K. Bera and Large-amplitude vibration of thin homogeneous ortho- Gourchandra Sinha Ray tropic elastic plates under uniform heating—revisited A. S. Paine and C. P. Please Asymptotic analysis of a star crack with a central hole A. O. Demuren Characteristics of three-dimensional turbulent jets in crossflow Christine B. Masters and Geometrically nonlinear stress—deflection relations for N. J. Salamon thin film/substrate systems C. Y. Lee and J. Tinsley Oden A priori error estimation of hp-finite element approxi- mations of frictional contact problems with normal compliance List of Contents Vii K. S. Parihar and 953 The axially symmetric problem of a penny-shaped crack J. V. S. Krishna Rao under general surface loadings V. G. Piskunov, V. E. Verijenko, 967 A higher-order theory for the analysis of laminated S. Adali and E. B. Summers plates and shells with shear and normal deformation NUMBER 7 Yakov Ben-Haim Failure of an axially compressed beam with uncertain initial deflection of bounded strain energy P. Glaister A numerical scheme for two-dimensional, open channel flows with non-rectangular geometries Q.-S. Zheng On the representations for isotropic vector-valued, symmetric tensor-valued and skew-symmetric tensor- valued functions Moawya A. Allaham and The flow induced by a rotating disk in a particulate John Peddieson Jr suspension Rama Subba Reddy Gorla, Effects of transverse magnetic field on mixed Jin Kook Lee, convection in wall plume of power-law fluids Shoichiro Nakamura and Ioan Pop J. C. Misra, A. K. Chakrabarti, Thermally induced vibration in an infinite anisotropic S. C. Samanta and viscoelastic solid with a cylindrical cavity in the S. C. Misra presence of a uniform axial magnetic field R. C. Sharma and Thermal instability of compressible fluids with Hall Urvashi Gupta currents and suspended particles in porous medium Tungyang Chen An invariant treatment of interfacial discontinuities in piezoelectric media T. Linga Raju and Hall effects on temperature distribution in a rotating Vv. V. Ramana Rao ionized hydromagnetic flow between parallel walls K. N. Mehta and Shobha Sood Effect of temperature dependent viscosity on free convection flow across an impermeable partition Announcement NUMBER 8 G. Romano, L. Rosati and 1105 An internal variable theory of inelastic behaviour F. Marotti de Sciarra derived from the uniaxial rigid—perfectly plastic law Krzysztof Wilmanski 1121 Symmetric model of stress-strain hysteresis loops in shape memory alloys R. Sekar and G. Vaidyanathan 1139 Convective instability of a magnetized ferrofluid in a rotating porous medium Viii List of Contents E. N. Its and J. S. Lee Propagation of surface waves across a vertical layer with non-rigid contacts Michele Ciarletta and Some results on the nonlinear theory of dipolar porous Antonio Scalia elastic solids Yishi Duan and Xinhe Meng Topological gauge theory of dislocation in general decomposition gauge potential formulation Hany H. Sherief State space approach to thermoelasticity with two relaxation times H. S. Guha and Flow over a highly porous inclined bed under surface T. K. Chaudhury traction—boundary layer in the porous region H. Ishikawa and Y. Kohno Analysis of stress singularities at the corner point of square hole and rigid square inclusion in elastic plates by conformal mapping Letters in Applied and Engineering Sciences V. L. Berdichevsky Reciprocal relations in nonlinear vibrations Announcement NUMBER 9 C. V. Raghava Rao and The flow past a spinning sphere in a slowly rotating T. V. S. Sekhar fluid at small Reynolds numbers—a numerical study Punyatma Singh and Non-Darcy free convection from vertical surfaces in Kalpana Tewari thermally stratified porous media Hendrik C. Kuhimann and Biorthogonal series method for Oseen type flows Ramachandra R. Adabala E. Smith The relation between the magnitudes of Jp and Jy, for test specimen geometrical configurations E. Smith A comparison of the Jp and Jy crack growth resistance curves for small-scale yielding conditions and the relevance to the integrity assessment of a cracked engineering structure James P. Thomas A classical representation for a mass based chemical potential A. Avudainayagam and Oscillatory line singularities of Stokes’ flows J. Geetha A. Kadi¢-Galeb and Stress distribution in an elastic perfectly plastic plate R. C. Batra subjected to corrosive environmental loads R. C. Batra and Steady state axisymmetric penetration of a R. Jayachandran kinematically hardening thermoviscoplastic target Vladimir S. Mitlin Phase transition in binary fluid between two solids List of Contents NUMBER 10 Marek Rudnicki 1337 On the electromagnetic field within a magnetoelastic plate A. I. Murdoch and 1345 On the physical interpretation of fields in continuum D. Bedeaux mechanics Yong Li Xu 1375 Stress intensity factors of a radial crack in a compound disk P. A. Voltairas, C. V. Massalas 1391 Generalized resonance modes in _ ferromagnetic and I. E. Lagaris spheres Q.-S. Zheng 1399 On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew- symmetric tensors and vectors. Part I: Two dimensional orthotropic and _ relative isotropic functions and three dimensional relative isotropic functions Q.-S. Zheng On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew- symmetric tensors and vectors. Part II: The representations for three dimensional transversely isotropic functions Q.-S. Zheng On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew- symmetric tensors and vectors. Part III: The irreducibility of the representations for three dimensional transversely isotropic functions Q.-S. Zheng On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew- symmetric tensors and vectors. Part IV: The representations for three dimensional orthotropic functions Q.-S. Zheng On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew- symmetric tensors and vectors. Part V: The irreducibility of the representations for three dimensional orthotropic functions and the summary NUMBER I1 Pierre Hillion Huyghens—Riemann representation of the inhom- ogeneous waves R. Drouot and A thermodynamical approach of wall effects on the M. Berrajaa rheology of dilute polymer solutions Jan Saczuk A variational approach to the Cosserat-like continuum x List of Contents A. K. Abramian Superelliptic shells René Souchet Concerning the polar decomposition of the deformation gradient H. C. Khare and A. K. Sahai Thermosolutal convection in a heterogeneous fluid layer in porous medium in the presence of a magnetic field T. K. Wang and T. C. T. Ting A generalized Goursat—Riemann problem for plane waves in isotropic elastic solids Hamid Bellout and On the uniqueness of plane Poiseuille solutions of the Frederick Bloom equations of incompressible dipolar viscous fluids Reaz A. Chaudhuri and Boundary-discontinuous Fourier analysis of doubly- Humayun R. H. Kabir curved panels using classical shallow shell theories A. A. Yevtushenko and Plane contact problem of thermoelasticity with quasi- O. M. Ukhanska steady frictional heating Announcement NUMBER 12 Ty-Ping Lee The patching in Neo-Hookean membranes Ty-Ping Lee Closing up a hole in Neo-Hookean membrane Shun-Chieh Hsieh and Determination of crack length and shear acting on a Toshio Mura fault from surface measurements R. W. Ogden and The effect of pre-stress on the vibration and stability D. G. Roxburgh of elastic plates Murat Ozturk and Antiplane shear crack problem in bonded materials Fazil Erdogan with a graded interfacial zone M. Kumari, H. S. Takhar Nonaxisymmetric unsteady motion over a rotating disk and G. Nath in the presence of free convection and magnetic field C. Boutin and J. L. Auriault Rayleigh scattering in elastic composite materials Ermenegildo Caccese and On similarity solutions of a third order quasilinear Anna Maria Monte equation