Mechanics of Visco-Elastic Media and Bodies : Symposium Gothenburg/Sweden September 2-6, 1974 (IUTAM Symposia) (Softcover reprint of the original 1st ed. 1975. 2014. xii, 391 S. XII,)

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Mechanics of Visco-Elastic Media and Bodies : Symposium Gothenburg/Sweden September 2-6, 1974 (IUTAM Symposia) (Softcover reprint of the original 1st ed. 1975. 2014. xii, 391 S. XII,)

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Full Description

The Symposium originated in a proposal made in 1969 by Professor A. A. Ilyushin, Moscow. A study group (chairman J. Hult) , appointed by the General Assembly of IUTAM in 1971, suggested in areport to the Bureau of IUTAM in 1972 that the following topics should form the basis of the scientific program: 1) Limits of linearized theories and effective versions of the non-linear theory of viscoelasticity 2) Theory of experimental studies in linear and non-linear viscoelasticity aiming at the determination of consti­ tutive equations and conditions of strength and failure under an arbitrary deformation process 3) Experimental and theoretical studies of thermal effects in viscoelasticity taking into ac count thermo-mechanical coupling 4) Novel analytical and numerical techniques for the solution of problems in viscoelasticity and thermo-viscoelasticity. This proposal was accepted by the Bureau, and the following Scientific Committee was appointed: J. HULT, Chalmers University of Technology, Fack, S-402 20 GÖTEBORG, Sweden (Chairman) J. F. BESSELING, Technische Hogeschool Delft, Mekelweg 2, DELFT, The Netherlands P. CHADWICK, School of Mathematics and Physics, University of East Anglia, Wilberforce Road, NORWICH NOR 880, England A. A. ILYUSHIN, Dept. of Mechanics and Mathematics, University of Moscow, MOSCOW B-234, USSR E. H. LEE, Dept. of Applied Mechanics, Stanford University, STANFORD, California 94305, USA W. OLSZAK, Int.

Contents

Assessment of linearity and characterization of nonlinear behaviour (general lecture).- On the foundations of the theory of non-linear viscoelasticity.- Un principe de correspondance pour les corps viscoélastiques lineaires viellisants.- Representation theorems and approximations in mechanics of viscoelastic ageing media (Abstract).- Small-amplitude vibrations in prestrained viscoelastic solids.- Visco-elastic properties of a medium permeated by viscous fluid-filled cavities.- Nonlinear effects on the propagation of discontinuities of all orders in viscoelastic media.- Determination of the initial slope of the stress relaxation function of non-linear viscoelastic materials using composites.- Viscoelastic waves in particulate composites.- Evolution of the finite pulses propagating in visco-elastic media due to nonlinear, viscous and thermal effects.- Opérateurs matriciels en visco-élasticité lineaire avec vieillisement, et application aux structures viscoélastiques hétérogènes.- Hypthèse des variables internes et viscoelasticité non-lineaire: étude du cas particulier d'une seule variable interne tensorielle.- Analysis of a pre-stressed heterogeneous structure made of visco-elastic materials.- Non-linear constitutive equations of viscoelastic bodies.- Visco-elastic polar media.- Visco-elastic states for polyphase bodies.- Analysis of features and properties of physical nonlinearity in visco-elastic behaviour.- Hölder stability in linear anisotropic viscoelasticity.- Constitutive equations for anelastic materials at finite strains.- Inhomogeneity in materially uniform linear viscoelastic bodies.- Generalized variational methods in linear viscoelasticity.- The generalization of the finite element method for the solution of visco-elastic two-dimensionalproblems.- Convergence of finite element solutions in viscoelasticity.- Permanent memory materials with semi-elastic range.- Crack propagation in viscoelastic diaspastically non-simple solids.- Destruction influence on the mechanical behaviour of polymers.- Creep rupture phenomena in creep buckling.- A non-linear model of creep-fatigue damage cumulation and interaction.- On failure conditions in visco-elastic media and structures.- Vibrations of compound rods with participation of viscoelastic properties of concrete.- On Hill's estimate of stationary creep rate.- Thermo-viscoelasticity (general lecture).- Thermal effects in viscoelasticity due to thermo-mechanical coupling.- On nonequilibrium thermodynamics of viscoelasticity: inelastic potentials and normality conditions.

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