Topics in Finite Elasticity
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.
Product details
January 1987Paperback
9780898711684
64 pages
245 × 172 × 6 mm
0.128kg
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Table of Contents
- Kinematics: Stress
- Elastic materials, Change of observer
- Material symmetry
- Simple shear
- The Piola-Kirchhoff Stress
- Hyperelasticity
- The elasticity tensor
- The boundary-value problem
- Variational formulational stability and uniqueness
- Incompressible materials
- Deformations of a cube
- Anti-Plane Shear.