Course

Unit 1

Introduction to fracture mechanics (FM), historical development of FM-Linear and elasto-plastic fracture mechanics introduction, modes of loading, crack growth on fracture mechanics, brittle failure and ductile failure concept study. Study on energy release rate, review of theory of elasticity, Airy’s stress theory on 2D models. Double cantilever beam energy release rate (ERR) definition, Energy release rate derivation on different geometries, ERR based on displacement of crack faces mechanisms, Necessary and sufficient condition of FM and stable and unstable FM.

Unit 2

Stress field analysis – different approaches to predict stresses, displacement formulation, compatibility conditions, principal of superposition. Crack-tip stress and displacement field – Cauchy-Riemann conditions, Westergaard’s stress function, stress intensity factors derivations. Crack opening displacement (CTOD/COD), very near-tip displacement field (Mode – I, II, III), multi-parameter stress field, K for different load conditions. Crack opening displacement (CTOD/COD).

Unit 3

1. Anderson, T. L., “Fracture Mechanics”, 2^nd Edition, CRC Press, 1995.

• Ramesh, K., “e-book on Engineering Fracture Mechanics”, IIT-Madras publisher.
• Prashant Kumar, “Elements of Fracture Mechanics” Tata McGraw-Hill Education, 2009