Nonlinear Elasticity
Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison April 16—18, 1973
- 1st Edition - September 23, 2014
- Editor: R. W. Dickey
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 8 1 4 - 2
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 4 7 9 - 0
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… Read more
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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.
Preface
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
Index
- Edition: 1
- Published: September 23, 2014
- Language: English
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