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Nonlinear Elasticity - 1st Edition - ISBN: 9780122151507, 9781483264790

Nonlinear Elasticity

1st Edition

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison April 16—18, 1973

Editor: R. W. Dickey
eBook ISBN: 9781483264790
Imprint: Academic Press
Published Date: 28th January 1973
Page Count: 414
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Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity. Organized into 11 chapters, this book begins with an overview of the nonlinear theory of buckling of elastic shells. This text then examines the ways in which the energy criterion supplies a necessary condition for asymptotic stability. Other chapters consider some of the phenomena, both physical and mathematical, that typify the large deformation of a nonlinearly elastic body. This book discusses as well the concepts leading to a criterion for instabilities and discusses how the criterion applies to some well-known ideal materials. The final chapter deals with the structure of strong shocks and studies the evolution of such a shock produced by a suddenly-applied strain. This book is a valuable resource for mathematicians.

Table of Contents


On the Collapse of Shallow Elastic Membranes

On the Energy Criterion for Stability

Monotonicity and Invertibility Conditions in One-Dimensional Nonlinear Elasticity

Saddle Point Analysis for an Ordinary Differential Equation in a Banach Space, and an Application to Dynamic Buckling of a Beam

Loading Devices and Stability of Equilibrium

Approximations and Numerical Analysis of Finite Deformations of Elastic Solids

Buckling of Complete Spherical Shells Under Slightly Nonuniform Loads

On the Interrelation Between Stability and Computations

On Nonlinear Thermoelasticity and Nonequilibrium Thermodynamics

Nonlinear Elastic Properties of Molten Plastics

Nonlinear Wave Propagation in Viscoelastic Materials



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© Academic Press 1973
28th January 1973
Academic Press
eBook ISBN:

About the Editor

R. W. Dickey

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