APMA 714 - Nonlinear Elasticity Theory

This course describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. Both incompressible and compressible materials are considered. Also emphasized are instabilities (both material and geometric), normal stress effects, non-uniqueness, bifurcations and stress singularities. A variety of illustrative boundary-value problems are discussed which exhibit some of the foregoing features. Both physical and mathematical implications are considered. The results are applicable to rubber-like and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross listed as AM 714. (SI)

Prerequisites & Notes
Prerequisite: AM/APMA 602.

Credits: 3