Topics in Finite Elasticity

This monograph presents a derivation of the basic equations of the theory of finite elasticity.

Morton E. Gurtin (Author)

9780898711684, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 September 1981

64 pages
24.5 x 17.2 x 0.6 cm, 0.128 kg

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.

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.

Subject Areas: Maths for scientists [PDE], Mathematical modelling [PBWH]