List of Contents NUMBER 1 Ioan Pop, The effect of variable viscosity on flow and heat transfer Rama Subba Reddy Gorla to a continuous moving flat plate and Majid Rashidi Karen Ames and Brian Straughan Continuous dependence results for initially prestressed thermoelastic bodies S. Roy and G. Nath Unsteady laminar compressible boundary layers with vectored mass transfer and an applied magnetic field X. Wang and Y. N. Gong An elastodynamic solution for multilayered cylinders I. Pop, M. Kumari and G. Nath Free convection about cylinders of elliptic cross section embedded in a porous medium E. Kroner and D. C. Lagoudas Gauge theory with disclinations Zhanjun Gao and Toshio Mura Nonelastic strains in solids—an inverse characterization from measured boundary data O. P. Chandna and P. V. Nguyen Hodographic study of MHD constantly inclined fluid flows G. J. Weng Explicit evaluation of Willis’ bounds with ellipsoidal inclusions George Trevifio and Jiajin Qu Three-point velocity correlation for grid-turbulence F. K. Labisch On shearable nonlinearly elastic rings NUMBER 2 Samit Roy, Arlo F. Fossum and On the use of polar decomposition in the integration of Robert J. Dexter hypoelastic constitutive laws John G. Papastavridis On Jourdain’s principle M. Sinasi Gégiis The influence of a longitudinal vibrating pipe on Poiseuille flow of a binary mixture Yishi Duan and Shengli Zhang Topological current structure of disclinations in the 4-dimensional gauge field theory of dislocation and disclination continuum Gelu I. Pasa and Dan PoliSevski Instability of interfaces in oil recovery Fiona H. Kerr The scattering of a plane elastic wave by spherical elastic inclusions Fiona H. Kerr An effective medium approach to the study of plane wave propagation in an elastic matrix with spherical elastic inclusions Vv vi List of Contents M. K. Kuo Transient stress intensity factors for a cracked plane strip under anti-plane point forces Jeremiah G. Murphy and Rotation of cylinders of special compressible materials Francis J. Rooney J. N. Sharma and Dayal Chand On the axisymmetric and plane strain problems of generalized thermoelasticity K. M. Deng, C. W. Lung and A gauge field theory of dislocations and disclinations K. L. Wang with irreversible processes V. S. Mitlin and L. I. Manevitch Nonlinear dynamics of phase transition in dense viscous media K. N. Rai and S. Rai An analytical study oft he solidification in a semi-infinite porous medium Letters in Applied and Engineering Sciences I. Pop and P. Cheng Flow past a circular cylinder embedded in a porous medium based on the Brinkman model NUMBER 3 N. Gupta, V. D. Sharma, Propagation of rapid pulses through a_ two-phase R. R. Sharma and mixture of gas and dust particles B. D. Pandey N. G. Kafoussias Effects of mass transfer on free convective flow past a vertical isothermal cone surface E. Smith The use of eta factors to describe the J-integral for a multiple loading state E. Smith Jp versus Jy Liliana Restuccia and On the heat dissipation function for dielectric relaxation Gerrit Alfred Kluitenberg phenomena in anisotropic media D. Tegan A theory of mixtures of nonsimple elastic solids V. L. Popov Gauge theory of “plastically incompressible” medium without dissipation—I. Dispersion relations and propagation of perturbations without dissipation V. L. Popov and Gauge theory of “plastically incompressible’ medium N. V. Tshertova —II. Dispersion relations with dissipation B. N. Mandal and On waves due to rolling of a submerged nearly vertical Sudeshna Banerjea plate Rama Subba Reddy Gorla Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux List of Contents Vii B. Mukhopadhyay and Effect of thermal relaxation on electro-magnetic-thermo- R. K. Bera visco-elastic plane waves in rotating media M. S. Malashetty and Magnetohydrodynamic heat transfer in two phase flow V. Leela E. H. Twizell, S. A. Matar, Explicit numerical methods with enhanced stability D. A. Voss and properties for first-order autonomous initial-value A. Q. M. Khaliq problems Letters in Applied and Engineering Sciences Kamran Mohseni and Some inverse problems with explicit solutions Abdullah Shidfar A. N. Das and P. K. Chaudhuri A note on boundary elements for micropolar elasticity M. A. Brutyan and On the stability of periodic unidirectional flows of P. L. Krapivsky micropolar fluid NUMBER 4 S. R. Kasiviswanathan and A class of exact solutions for the magnetohydrodynamic M. V. Gandhi flow of a micropolar fluid K. Viswanathan and U. Sharma Stress concentration due to a finite rigid ribbon in the presence of a finite crack—II. SH case R. M. Sullivan and A finite element method for the thermochemical N. J. Salamon decomposition of polymeric materials—I. Theory P. V. Nguyen and Non-Newtonian MHD orthogonal steady plane fluid O. P. Chandna flows A. V. Shenoy Darcy natural, forced and mixed convection heat transfer from an isothermal vertical flat plate embedded in a porous medium saturated with an elastic fluid of constant viscosity Bruno Carbonaro Wave propagation in a modified theory of viscous fluid dynamics I. Suliciu Some stability—instability problems in phase transitions modelled by piecewise linear elastic or viscoelastic constitutive equations I. Suliciu The relative free energy and energy estimates in modelling phase transitions by rate-type constitutive equations Inhomogeneous boundary conditions and the choice of the convective patterns in a porous layer M. Pakdemirli and Boundary layer theory for second order fluids E. S. Suhubi vill List of Contents B. Lazzari and E. Vuk Constitutive equations and quasi-static problem in linear thermoviscoelasticity Dominic G. B. Edelen Monge-Ampere waves in a_ 1l-dimensional elastic medium NUMBER 5 D. N. Riahi Directional solidification of a binary alloy with deformed melt-crystal interface and hydromagnetic effects D. C. Sanyal and Similarity solutions of an unsteady incompressible S. Bhattacharyya thermal MHD boundary layer flow by group theoretic approach Xu Li A generalized theory of thermoelasticity for an anisotropic medium G. Unal and E. S. Suhubi A local analysis of the Kolmogorov—Spiegel— Sivashinsky equation G. Unal and E. S. Suhubi Travelling waves and chaos in the Kolmogorov— Spiegel-Sivashinsky model M. Pakdemirli and E. S. Suhubi Similarity solutions of boundary layer equations for second order fluids N. P. Gopalan and Investigation on laminar flow of a suspension in R. Ponnalagarsamy corrugated straight tubes Dinesh Kumar, Prawal Sinha Ferrofluid squeeze film for spherical and conical and Peeyush Chandra bearings Iulian Beju A uniqueness theorem in thermoelasticity with thermal relaxation M. Sinasi Gégiis The steady flow of a binary mixture between two rotating parallel non coaxial disks S. Pennisi On third order tensor-valued isotropic functions NUMBER 6 G. Ramanaiah and V. Kumaran Natural convection about a permeable cone and a cylinder subjected to radiation boundary condition E. S. Suhubi Similarity solutions for plane waves in hyperelastic materials Layachi Hadji Cellular interfacial patterns in the Rayleigh—Bénard problem with phase change List of Contents ix Stanislaw J. Matysiak On the homogenized model of periodic stratified fluid- saturated porous solids F. Franchi and B. Straughan A nonlinear energy stability analysis of a model for deep convection V. Rajeswari and G. Nath Unsteady flow over a stretching surface in a rotating fluid Da Yu Tzou The transonic temperature wave around a rapidly propagating crack tip: an experimental evidence Hilmi Demiray Torsional waves in a stressed elastic tube filled with a viscous fluid Biao Wang Three-dimensional analysis of a flat elliptical crack in a piezoelectric material S. Roy and G. Nath Unsteady hypersonic boundary layers for slender axisymmetric bodies with large injection rates A. Cemal Eringen Balance laws of micromorphic continua revisited Rajneesh Kumar and Steady-state response to moving loads in micropolar M. L. Gogna elastic medium with stretch Announcements NUMBER 7 Jan Saczuk Extensions of the Legendre transformation I. Demir, J. P. Hirth and The extended stress field around a cylindrical crack using H. M. Zbib the theory of dislocation pile-ups K. R. Sundaresan and On unsteady state moving boundary problems for non- M. S. Ananth plane geometries Hany H. Sherief Fundamental solution for thermoelasticity with two relaxation times M. Manjunath and Free rise velocity of a swarm of spherical gas bubbles R. P. Chhabra through a quiescent power law liquid A. Roy and M. Chatterjee An elliptic crack in an elastic half-space Xiangyue Li and Xiangwei Li On the thermoelasticity of multicomponent fluid- saturated reacting porous media Giuseppe Saccomandi Body loadings equivalent to a seismic dislocation in thermo-microstretch elastic solids J. P. Zhang and Some inhomogeneous motions and deformations within K. R. Rajagopal the context of a non-linear elastic solid x List of Contents R. M. Sullivan and A finite element method for the thermochemical N. J. Salamon decomposition of polymeric materials—II. Carbon phenolic composites Mehrdad Negahban and Modeling the mechanical response of a material under- Alan S. Wineman going continuous isothermal crystallization NUMBER 8 Siegmund Schwarz Electromagnetic forces and the energy-momentum tensor in the presence of electric polarization and magnetization T. C. Chew and R. E. Britter Effect of flame-induced geometrical straining on turbulence levels in explosions and common burner configurations Kalpana Tewari and Natural convection in a thermally stratified fluid Punyatma Singh saturated porous medium R. Jayachandran and Steady state axisymmetric deformations of a thick R. C. Batra elastic-thermoviscoplastic target D. M. Haughton Boundary layer solutions for incompressible elastic cylinders J. De and B. Patra Thermoelastic problem of an orthotropic elastic plane containing a cruciform crack O. P. Bhutani and On the isogroups of the semilinear hyperbolic equation K. Vijayakumar u,,=f(u) and its exact solutions for the case of the Liouville equation Huajian Gao Diffusion or imperfection modified long range interaction between a line dislocation and a spherical inclusion Chih-Bing Ling A concentrated force inside a thick plate K. N. Mehta and Shobha Sood Transient free convection flow with temperature dependent viscosity in a fluid saturated porous medium NUMBER 9 George Z. Voyiadjis and A plasticity-damage theory for large deformation of Peter I. Kattan solids—I. Theoretical formulation H. S. Onur and E. Baydar Laminar channel flow over a square step Y. Qin and P. N. Kaloni A thermal instability problem in a rotating micropolar fluid List of Contents xi Stefan Blenk, Harald Ehrentraut Macroscopic constitutive equations for liquid crystals and Wolfgang Muschik induced by their mesoscopic orientation distribution A. G. Youtsos Propagation of EM waves through a moving optically active slab J. A. Hawkins and A. Bedford Variational theory of bubbly media with a distribution of bubble sizes—I. Liquids J. A. Hawkins and A. Bedford Variational theory of bubbly media with a distribution of bubble sizes—II. Porous solids Peter Wolfe The effect of bending stiffness on inextensible cables Bigyani Das Flow of a Bingham fluid in a slightly curved tube K. R. Rajagopal and L. Tao Wave propagation in elastic solids infused with fluids Letters in Applied and Engineering Sciences I. A. Kunin, F. Hussain and Stability of the 4-vortex system X. Zhou Announcement NUMBER 10 THE ERINGEN ANNIVERSARY ISSUE ix Preface xi Dedication Xili List of Publications by A. Cemal Eringen Part I: Solid Mechanics Ian N. Sneddon 1237 On Muki’s solution of the equations of linear elasticity K. R. Rajagopal and 1247 Secondary deformation due to axial shearing of a cylin- J. P. Zhang der of non-circular cross-section J. Casey and P. M. Naghdi 1257 A prescription for the identification of finite plastic strain Elias C. Aifantis On the role of gradients in the localization of defor- mation and fracture G. Kerr, G. Melrose and The disturbance of a uniform heat flow by a line crack J. Tweed in an infinite anisotropic thermoelastic solid J. L. Nowinski On the internal instability of an infinite three- dimensionally stressed highly elastic medium List of Contents Part II: Fluid Mechanics Rui-Xiu Dai, Q. Dong and 1323 Flow between eccentric rotating cylinders: bifurcation A. Z. Szeri and stability L. E. Payne Some remarks on ill-posed problems for viscous fluids F. Franchi and B. Straughan Nonlinear stability for thermal convection in a micro- polar fluid with temperature dependent viscosity A. D. Kirwan Jr, Negative potential vorticity lenses Bruce Lipphardt Jr and Juping Liu C. G. Speziale and S. Thangam Analysis of an RNG based turbulence model for separated flows Part III: Mathematical Physics Dominic G. B. Edelen 1389 A l1-dimensional elastic model with time translation gauge invariance Tom Chang Path integrals, differential renormalization-group, and stochastic systems near criticality D. F. Nelson Wave momentum Laurence I. Gould Nonlocal generalized angular-momentum balance laws and equations of motion B. S. Berger, M. Rokni and The nonlinear dynamics of metal cutting I. Minis Part IV: Electromagnetic Media G. A. Maugin, M. Epstein and 144] Theory of elastic inhomogeneities in electromagnetic C. Trimarco materials P. N. Kaloni Some remarks on the boundary conditions for magnetic fluids Sitiro Minagawa Energy and energy-factor of infinite straight charged- dislocations in an anisotropic piezoelectric crystal A. O. Barut Nonlinear nonlocal classical field theory of quantum phenomena Kazuo Kondo Galois field theoretical approach to the dislocational and disclinational aspects of the musical lattice List of Contents Part V: Multiphase and Structured Continua Sameer Abu-Zaid and 1483 A stress transport model for rapid granular flows in a Goodarz Ahmadi rotating frame Flavio Dobran Modeling of structured multiphase mixtures Fazil Erdogan and Diffusion problems in bonded nonhomogeneous Murat Ozturk materials with an interface cut Masao Satake A discrete-mechanical approach to granular materials Jovo P. Jaric On a transport theorem for moving interface T. Atarashi and S. Minagawa Transient coupled-thermoelastic problem of heat con- duction in a multilayered composite plate Part VI: Closing Comments and Reflections of A. Cemal Eringen A. Cemal Eringen 1551 Vistas of nonlocal continuum physics xxxvi The Eringen Symposium Participants NUMBER I1 Chenmin Ma and Effects of inter-phase mass transfer in heated clays: a Tomasz Hueckel mixture theory A. Wineman and Shear induced redistribution of fluid within a uniformly K. R. Rajagopal swollen nonlinear elastic cylinder M. Vasudevaiah and Heat convection from a spinning sphere R. Patturaj Hilmi Demiray Wave propagation through a viscous fluid contained in a prestressed thin elastic tube E. Smith The Jy crack growth resistance curve expressed in terms of eta factors H. S. Paul and V. M. Murali 1629 Wave propagation in a cylindrical poroelastic bone with cavity S. K. Tomar and M. L. Gogna 1637 Reflection and refraction of a longitudinal micro- rotational wave at an interface between two micropolar elastic solids in welded contact Reaz A. Chaudhuri and A boundary-continuous-displacement based Fourier Humayun R. H. Kabir analysis of laminated doubly-curved panels using classi- cal shallow shell theories M. B. Rubin Hyperbolic heat conduction and the second law List of Contents NUMBER 12 Nonlinear water diffusion in unsaturated porous solid materials K. A. Lindsay and Penetrative convection in a micropolar fluid B. Straughan Abdel Raouf F. Elhefnawy Kelvin-Helmholtz instability in magnetic fluids with surface adsorption: linear and nonlinear theory A. Romano and E. S. Suhubi Structure of Weiss domains in ferroelectric crystals L. G. Hector Jr, W.-S. Kim Hyperbolic heat conduction due to a mode locked laser and M. N. Ozisik pulse train A. A. Arafa and Mixed convection boundary layer flow of a micropolar Rama Subba Reddy Gorla fluid along vertical cylinders and needles Claude Vallée Compatibility equations for large deformations Glenn Ledder and Weakly nonlinear asymptotic models and analogs of J. David Logan detonation processes Ray P. S. Han, Kai-Yuan Yeh, Scattering of plane SH-waves by a cylindrical canyon of Guoli Liu and Diankui Liu arbitrary shape in anisotropic media M. Kumari, H. S. Takhar Unsteady mixed convection flow at the stagnation point and G. Nath Announcement