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”.

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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.

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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"?

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