Prediction of crack propagation in anisotropic solids

✍ Scribed by Ye Zhiming; M.L. Ayari

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 690 KB
• Volume: 49
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(94)90017-5

✦ Synopsis

Abstrac&-The minimum strain energy density theory, originally developed for crack growth in isotropic solids, is extended to the anisotropic case. The criterion for predicting the direction and onset of crack growth is reformulated through minimization of the ratio of the strain energy density (written as a function of the three stress intensity factors K,, K,, and K,,,) over the material critical strain energy density, assumed to have a polar variation in terms of four fracture toughnesses. Mixed models I-II and I-III crack growth are evaluated for solids with material symmc.tries.

NOMENCLATURE

half crack length elastic compliances roots of the characteristic equation strain matrix stress matrix the matrix of elastic compliances Young's modulus symmetric, skew symmetric and antiplane stress intensity factors critical stress intensity factors for crack along direction 1 and 2, respectively fracture toughness of a crack oriented at an angle j with respect to direction I polar coordinates with the origin at the crack tip Cartesian coordinates stress intensity factor matrix fracture toughness matrix stress function matrix stress function matrix when critical stress intensity reaches fracture toughness strain energy density factor critical strain energy density factor stress components.