Nonlinear Theory of Elasticity
โ Scribed by A.I. LURIE (Eds.)
- Year
- 1990
- Leaves
- 612
- Series
- North-Holland Series in Applied Mathematics and Mechanics 36
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Applied Mathematics and Mechanics
Page ii
Front Matter
Page iii
Copyright page
Page iv
Publishers' Note
Page v
Foreword
Pages vii-viii
CHAPTER 1 - Deformation of a Continuous Medium
Pages 1-53
CHAPTER 2 - Stress in a Continuous Medium
Pages 55-79
CHAPTER 3 - The State Equations
Pages 81-105
CHAPTER 4 - The Equations of Nonlinear Theory of Elasticity and the Statement of Problems
Pages 107-159
CHAPTER 5 - The State Equations for a Nonlinearly Elastic Material
Pages 161-210
CHAPTER 6 - Problems of the Nonlinear Theory of a Compressible Elastic Medium
Pages 211-277
CHAPTER 7 - Incompressible Elastic Material
Pages 279-367
CHAPTER 8 - Small Deformation of an Initially Loaded Body
Pages 369-461
CHAPTER 9 - Thermodynamic Relations. The Equations of Thermoelasticity
Pages 463-479
APPENDICES - Tensor Algebra and Tensor Analysis
Pages 481-519
Appendix II - Tensor Functions
Pages 521-550
Appendix III - Notes on the Tensor Calculus
Pages 551-593
Bibliography and Bibliographical Notes
Pages 595-607
Subject Index
Pages 609-617
๐ SIMILAR VOLUMES
Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book provides the physical and mathematical basis for the quantitative analysis of the behavior of such shells and present
Soft biological tissues often undergo large elastic (or nearly elastic) deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attemp