Module 6: Failure and Damage
  Lecture 23: Macroscopic Failure Theories
 

Introduction
           
We have seen in the previous lecture the improvements over Tsai-Hill theory by Hofftman theory. Further, we have seen in detail a tensor polynomial theory proposed by Tsai and Wu. In this lecture we will see the criteria proposed by Hashin [1] which give various modes of failure. Then we will see how all mentioned theories or criteria can be expressed in terms of a tensor polynomial.
           
We will conclude this lecture with some numerical examples.

The Lecture Contains :

Hashin Criteria

Plane Stress Hashin Criteria

Various Criteria in Tensor Polynomial Form

Examples

Homework

References