Dislocation based fracture mechanics

Griffith-Inglis crack and Zener-Stroh-Koehler crack. Dislocation mechanics. Hilbert transform and Muskhelishvili equations. Bilby-Cottrell-Swinden-Dugdale (BCSD) crack. Crack tip shielding and antishielding by dislocations. Mode III crack in an elastic-plastic-solid. Mode II, mode I. Moving Yoffe crack. Interesting problems.

The dislocation is the basic building block of the crack in an elastic-plastic solid. Fracture mechanics is developed in this text from its dislocation foundation. It is written for the graduate student. The dislocation mechanics needed to find the dislocation density fields of crack tip plastic zones is developed in detail. All known dislocation based solutions are given for the three types of cracks in elastic-plastic solids.