Fracture Mechanics, Fundamentals and Applications, T.L. Anderson, CRC Press, 3rd Ed., 2004.

This book is in line with what Zhigang is teaching in class. Because Kejie and Widusha have already recommended this book, I would like to introduce you some other books as well as a different approach to cracks and Fracture Mechanics.

We know that total strain is the symmetric part of the displacement gradient. Total strain can be represented by the sum of the elastic and plastic (eigen) strains. Let consider a dislocation in an arbitrary solid. Suppose we computed the displacement filed, therefore the total strain can be obtained immediately. What are the criteria for the decomposition of the total strain into elastic and plastic parts?