Topics in finite elasticity

Morton E. Gurtin9780898711684, 0898711681

Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.

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Table of contents :
Topics in Finite Elasticity……Page 1
Contents……Page 5
Preface……Page 7
CHAPTER 1 Introduction……Page 9
CHAPTER 2 Kinematics……Page 11
CHAPTER 3 Stress……Page 13
CHAPTER 4 Elastic Materials. Change of Observer……Page 15
CHAPTER 5 Material Symmetry……Page 19
CHAPTER 6 Simple Shear7……Page 23
CHAPTER 7 The Piola-Kirchhoff Stress……Page 27
CHAPTER 8 Hyperelasticity……Page 31
CHAPTER 9 The Elasticity Tensor……Page 35
CHAPTER 10 The Boundary-Value Problem……Page 37
CHAPTER 11 Variational Formulation……Page 41
CHAPTER 12 Stability and Uniqueness26……Page 45
CHAPTER 13 Incompressible Materials……Page 53
CHAPTER 14 Deformations of a Cube35……Page 55
CHAPTER 15 Anti-Plane Shear38……Page 59
References……Page 65