A Boundary Value Problem in Nonlinear Elasticity I — Lesson 1

In this lesson, the boundary value problems in non-linear elasticity are discussed. The problem considered is for an isotropic material at a steady state. An inverse approach is used to describe the problem. The video ends with matrix notation for “b”.

The discussion continues about the matrix notation of “b”. Instead of writing a lengthy tensor form for the Cauchy Stress (sigma), we write the matrix form. More discussion on this form continues in the next lesson.

Answers to Frequently Asked Questions

In this video we will answer the following question:

  • Why is the Cauchy stress not dependent on higher powers of "b"?