Nonlinear elasticity; proceedings (Publication of the Mathematics Research Center, the University of Wisconsin--Madison) - Hardcover

Ronald Wayne Dickey

Hardcover

ISBN 10: 012215150X ISBN 13: 9780122151507

Publisher: Academic Press, 1973

Synopsis

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.

Edition details

• Publisher: Academic Press
• Publication date: 1973
• ISBN 10: 012215150X
• ISBN 13: 9780122151507
• Binding: Hardcover
• Language: English
• Number of pages: 404