On the change of energy caused by crack propagation in 3-dimensional anisotropic solids

Steigemann, Martin ; Specovius-Neugebauer, Maria

Mathematica Bohemica, Tome 139 (2014) no. 2, pp. 401-416

Abstract (VO)

Crack propagation in anisotropic materials is a persistent problem. A general concept to predict crack growth is the energy principle: A crack can only grow, if energy is released. We study the change of potential energy caused by a propagating crack in a fully three-dimensional solid consisting of an anisotropic material. Based on methods of asymptotic analysis (method of matched asymptotic expansions) we give a formula for the decrease in potential energy if a smooth inner crack grows along a small crack extension.

Détail

DOI : 10.21136/MB.2014.143865

Classification : 35Q74, 41A60, 74G10, 74G70, 74R10
Keywords: crack propagation; energy principle; stress intensity factor

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