AUDIENCE Engineers and applied scientists involved in analyses of non-linear phenomena encountered in diverse theoretical and applied mechanics problems. AIMS AND SCOPE The Jnternational Journal of Non-Linear Mechanics provides a specific medium for dissemination of research results in the various areas of theoretical and applied mechanics of solids/structures and fluids, where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics and vibrations, rheology, hydrodynamics, gas dynamics, magnetohydrodynamics, astrodynamics, control and stability, structures, as well as in other diverse areas. Papers may be analytical/computational or experimental. Mathematical treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized are also appropriate. Both deterministic and stochastic approaches are fostered. Contributions pertaining to applied fields are encouraged. © 1997 Elsevier Science Ltd. All rights reserved. Upon acceptance of an article by the journal, the author(s) will be asked to transfer copyright of the article to the publisher. The transfer will ensure the widest possible dissemination of information. This journal and the individual contributions contained in it will be protected by the copyright of Elsevier Science Ltd, and the following terms and conditions apply to their use: Photocopying Single photocopies of single articles may be made for personal use as allowed by national copyright laws. Permission of the publisher and payment of a fee is required for all other photocopying, including multiple or systematic copying, copying for advertising or promotional purposes, resale, and all forms of document delivery. Special rates are available for educational institutions that wish to make photocopies for non-profit educational classroom use. 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Contact the publisher at the address indicated. Except as outlined above, no part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior written permission of the publisher. The Item-fee Code for this publication is: 0020-7462/97 $17.00 + .00 No responsibility is assumed by the Publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. Although all advertising material is expected to conform to ethical (medical) standards, inclusion in this publication does not constitute a guarantee or endorsement of the quality or value of such product or of the claims made of it by its manufacturer. ©wThe text paper used in this publication meets the minimum requirements of American National Standard for Information Sciences—Permanence of Paper for Printed Library Materials ANSI Z39.48-1984. ContentsDirect delivers the table of contents oft his journal, by e-mail, DIRECT approximately two to four weeks prior to each issue’s publication. To subscribe to this free service complete and return the form at the back of this issue or send an e-mail message to [email protected] AUDIENCE Engineers and applied scientists involved in analyses of non-linear phenomena encountered in diverse theoretical and applied mechanics problems. AIMS AND SCOPE The Jnternational Journal of Non-Linear Mechanics provides a specific medium for dissemination of research results in the various areas of theoretical and applied mechanics of solids/structures and fluids, where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics and vibrations, rheology, hydrodynamics, gas dynamics, magnetohydrodynamics, astrodynamics, control and stability, structures, as well as in other diverse areas. Papers may be analytical/computational or experimental. Mathematical treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized are also appropriate. Both deterministic and stochastic approaches are fostered. Contributions pertaining to applied fields are encouraged. © 1997 Elsevier Science Ltd. All rights reserved. Upon acceptance of an article by the journal, the author(s) will be asked to transfer copyright of the article to the publisher. The transfer will ensure the widest possible dissemination of information. This journal and the individual contributions contained in it will be protected by the copyright of Elsevier Science Ltd, and the following terms and conditions apply to their use: Photocopying Single photocopies of single articles may be made for personal use as allowed by national copyright laws. Permission of the publisher and payment of a fee is required for all other photocopying, including multiple or systematic copying, copying for advertising or promotional purposes, resale, and all forms of document delivery. Special rates are available for educational institutions that wish to make photocopies for non-profit educational classroom use. In the U.S.A., users may clear permissions and make payment through the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, U.S.A. In the U.K., users may clear permissions and make payment through the Copyright Licensing Agency Rapid Clearance Service (CLARCS), 90 Tottenham Court Road, London WIP 9HE, U.K. In other countries where a local copyright clearance centre exists, please contact it for information on required permissions and payments. Derivative Works Subscribers may reproduce tables of contents or prepare lists of articles including abstracts for internal circulation within their institutions. Permission of the publisher is required for resale or distribution outside the institution. Permission of the publisher is required for all other derivative works, including compilations and translations. Electronic Storage Permission of the publisher is required to store electronically any material contained in this journal, including any article or part of an article. Contact the publisher at the address indicated. Except as outlined above, no part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior written permission of the publisher. The Item-fee Code for this publication is: 0020-7462/97 $17.00 + .00 No responsibility is assumed by the Publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. Although all advertising material is expected to conform to ethical (medical) standards, inclusion in this publication does not constitute a guarantee or endorsement of the quality or value of such product or of the claims made of it by its manufacturer. ©wThe text paper used in this publication meets the minimum requirements of American National Standard for Information Sciences—Permanence of Paper for Printed Library Materials ANSI Z39.48-1984. ContentsDirect delivers the table of contents oft his journal, by e-mail, DIRECT approximately two to four weeks prior to each issue’s publication. To subscribe to this free service complete and return the form at the back of this issue or send an e-mail message to [email protected] VOLUME CONTENTS Number 1 P. D. Spanos Editorial F. Baldoni and K. R. Rajagopal A continuum theory for the thermomechanics of solidification E. Emaci, D. Kim Impurity modes in disordered non-linear lattices and A. F. Vakakis S. S. Antman and Peculiar instabilities due to the clamping of M. Lanza de Cristoforis shearable rods V. B. Lisin and A. I. Potapov Variational principle in the mechanics of liquid crystals C. M. Wang, K. Y. Lam, Large deflections of an end supported beam X. Q. He and S. Chucheepsakul subjected to a point load C. Amrouche and D. Cioranescu On a class of fluids of grade 3 M. Kolli and K. Chandrashekhara Non-linear static and dynamic analysis of stiffened laminated plates A. R. Srinivasa On the nature of the response functions in rate-independent plasticity G. Q. Cai and Y. K. Lin Comparing quasi-conservative averaging and dissipation energy balancing methods in non- linear random vibration Jian-Xue Xu and N. Hasebe The problem of an_ elastic-plastic beam dynamics and an incomplete co-dimension two bifurcation H. L. Li, X. Y. Su Dynamic behavior of a semi-infinite elastic— and T. X. Yu hardening-—softening beam Cheng Chang-jun Mode jumping of simply supported rectangular and Shang Xin-chun plates on non-linear elastic foundation R. V. Roy Asymptotic analysis of first-passage problems S. J. Chapman, A. D. Fitt Extrusion of power-law shear-thinning fluids and C. P. Please with small exponent A. M. Ette Dynamic buckling of an imperfect spherical shell under an axial impulse Ill Volume Contents Number 2 L. Librescu and Weigqing Lin 211 Postbuckling and vibration of shear deformable flat and curved panels on a non-linear elastic foundation I. Samohy!l and W. Pabst The Eshelby relation in mixtures I. Samohyl Thermodynamics of non-reacting mixtures of any symmetry with heat conduction, diffusion and viscosity I. Samohyl Thermodynamics of mixtures of reacting and non-reacting fluids with heat conduction, diffusion and viscosity Hui-Shen Shen Thermal postbuckling analysis of imperfect stiffened laminated cylindrical shells D. N. Riahi Weakly non-linear instability of non-parallel shear flows M. E. Erdogan Unsteady flow of a viscous fluid due to non-coaxial rotations of a disk and a fluid at infinity J. A. Masad Effect of the second harmonic on_ the and A. H. Nayfeh fundamental parametric resonance in boundary layers T. A. Bright Solutions to Euler equations using Lie group analysis D. Cioranescu and V. Girault Weak and classical solutions of a family of second grade fluids P. Biscari and E. G. Virga Local stability of biaxial nematic phases between two cylinders Hin-Chi Lei Linearity of waves in some systems of and Ming-Jui Hung non-linear elastodynamics J. P. Pascal and H. Pascal Non-linear effects on some unsteady non- Darcian flows through porous media E. G. Ladopoulos Non-linear singular integral representation analysis for inviscid flowfields of unsteady airfoils A. G. Bagdoev Wave beams in viscoelastic dispersive non- and A. V. Shekoyan linear initially deformed medium with free surface Volume Contents Vv Yu. V. Mikhlin 393 An application of the Ince algebraization to the and A. L. Zhupiev stability of non-linear normal vibration modes J. Levitas, J. Singer Global dynamic stability of a shallow arch by and T. Weller Poincaré-like simple cell mapping Number 3 V. Kumar and A. V. Singh 425 Geometrically non-linear dynamic analysis of laminated shells using Bézier functions A. Abad, A. Elipe and M. Vallejo Normalization of perturbed non-linear Hamiltonian oscillators P. Carbonaro Group analysis for the equations describing the one-dimensional motion of an ideal gas in the hodograph plane A. Donato and G. Valenti On a possible model to explain phytoplankton blooms produced by a receding ice edge J. P. Pascal and H. Pascal>K Free convection in a non-Newtonian fluid saturated porous medium with lateral mass flux P. A. Krutitskii Fast non-linear stratified flow over several obstacles M. S. Gordon, M. Shearer Plane shear waves in a fully saturated granular and D. Schaeffer medium with velocity and stress controlled boundary conditions L. L. Howell and J. N. Leonard Optimal loading conditions for non-linear deflections A. N. Kounadis and G. J. Simitses Non-conservative systems with symmetrizable stiffness matrices exhibiting limit cycles K. K. Puri Mass transport in contaminated flows K. Yoshida, K. Sato, S. Yamamoto Characterization of chaotic vibration without and K. Yokota system equations Y. Kagei and W. von Wahl The Eckhaus criterion for convection roll solutions of the Oberbeck-Boussinesq equations H. R. Chaudhry, B. Bukiet Dynamic stresses and strains in the left and T. Regan ventricular wall based on large deformation theory K. K. Ghosh and L. Debnath Some exact solutions of non-linear shallow water equations Volume Contents Number 4 A SELECTION OF PAPERS PRESENTED AT THE THIRD INTERNATIONAL STOCHASTIC STRUCTURAL DYNAMICS CONFERENCE P. D. Spanos 637 Foreword P. Bar-Avi and H. Benaroya 639 Stochastic response of a two DOF articulated tower W. Chai and M. Q. Feng 657 Vibration control of super tall buildings subjected to wind loads S. Dobson, M. Noori, Z. Hou, Modeling and random vibration analysis of M. Dimentberg and T. Baber SDOF systems with asymmetric hysteresis M. M. Doyle, Asymptotic stability of structural systems based N. Sri Namachchivaya on Lyapunov exponents and moment Lyapunov and H. J. Van Roessel exponents M. Q. Feng and Ruichong Zhang Wind-induced vibration characteristics of Nanjing TV tower R. S. Harichandran Random vibration of laminated composite and M. K. Naja plates with material non-linearity E. A. Johnson, S. F. Wojtkiewicz, Observations with regard to massively parallel L. A. Bergman computation for Monte Carlo simulation of and B. F. Spencer Jr stochastic dynamical systems H. J. Pradlwarter On advanced Monte Carlo simulation pro- and G. I. Schuéller cedures in stochastic structural dynamics A. Y. J. Won, J. A. Pires Performance assessment of tuned liquid column and M. A. Haroun dampers under random seismic loading J. S. Yu, G. Q. Cai A new path integration procedure based on and Y. K. Lin Gauss—Legendre scheme Number 5 H. Zorski and E. Infeld Continuum dynamics of a peptide chain T. I. Haaker and One-degree-of-freedom rotational galloping B. W. van Oudheusden under strong wind conditions Shi-Jun Liao A kind of approximate solution technique which does not depend upon — small parameters—II. An application in_ fluid mechanics Volume Contents Vil M. A. Petrakis and 823 Exponentially decaying flow in a gently curved G. T. Karahalios annular pipe V. G. Oancea and T. A. Laursen Stability analysis of state dependent dynamic frictional sliding M. Di Paola and M. Vasta Stochastic integro-differential and differential equations of non-linear systems excited by parametric Poisson pulses A. Wineman and R. Kolberg Response of beams of non-linear viscoelastic materials exhibiting strain-dependent stress relaxation R. M. Saldanha da Gama Mathematical modelling of the non-linear heat transfer process in a gray shell surrounded by a non-participating medium E. Esmailzadeh and Periodic solution of a Mathieu-Duffing type G. Nakhaie-Jazar equation G. S. Dulikravich and S. R. Lynn Unified electro-magneto-fluid dynamics (EMFD): introductory concepts G. S. Dulikravich and S. R. Lynn Unified electro-magneto-fluid dynamics (EFMD): a survey of mathematical models Cheng-Hsing Hsu, Temperature and flow fields for the flow of a Chii-Sheng Chen second grade fluid past a wedge and Jyh-Tong Teng Cheng-Hsing Hsu Unsteady flow of a second-grade fluid past a and Tzu-Yao Chou backward-facing step L. Consiglieri Stationary weak solutions for a class of non-Newtonian fluids with energy transfer A. Hatami and L. Walker Decoupling the normal modes of continuous symmetric structures using group representation theory J. G. Cherng and Tsung-Yen Na Effects of area change and friction on acoustic propagation in compressible flow through long ducts A. M. Zenkour Maupertuis—Lagrange mixed variational formula for laminated composite structures with a refined higher-order beam theory R. N. Hills and P. H. Roberts Microstructural coarsening kinetics for a mushy zone of a pure material Erratum Volume Contents Number 6 G. Romeo and G. Frulla 1017 Post-buckling behaviour of graphite/epoxy stiffened panels with initial imperfections sub- jected to eccentric biaxial compression loading Hui-Shen Shen Thermal post-buckling analysis of imperfect laminated plates using a higher-order shear deformation theory G. Muscolino, G. Ricciardi Stationary and non-stationary probability and M. Vasta density function for non-linear oscillators Nan-Nong Huang Viscoelastic analysis of von Karman laminated plates under in-plane compression with initial deflection H. S. Costa Mattos Necking of elasto-plastic rods under tension and F. E. G. Chimisso A. Borrelli and M. C. Patria Decay and other estimates for a _semi- infinite magnetoelastic cylinder: Saint-Venant’s principle F. Auricchio and E. Sacco A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite C. Y. Wang Post-buckling of a clamped-simply supported elastica I. Kreja, R. Schmidt Finite elements based on a first-order shear and J. N. Reddy deformation moderate rotation shell theory with applications to the analysis of composite structures V. S. Burd Resonant almost periodic oscillations in systems with slow varying parameters P. Vielsack and J. Kirillowa Non-uniqueness of the motions of a friction oscillator with self-excitation H. Demiray Solitary waves in initially stressed thin elastic tubes G. M. Mahmoud Periodic solutions of strongly non-linear Mathieu oscillators Qu Changzheng Generalized Lie symmetries and __ the and Niu Pengcheng integrability of generalized Holmes—Rand non-linear oscillator Volume Contents IX D. Dane Quinn 1193 Transition to escape in a system of coupled oscillators I Volume Contents and Author Index for Vol. 32 (1997)