Crack Path Prediction in Anisotropic Brittle Materials

Details Crack Path Prediction in Anisotropic Brittle Materials Crack Path Prediction in Anisotropic Brittle Materials

2004-12-31

arxiv.org/abs/cond-mat/0412775v1

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevLett.95.235501

A force balance condition to predict quasistatic crack paths in anisotropic brittle materials is derived from an analysis of diffuse interface continuum models that describe both short-scale failure inside a microscopic process zone and macroscopic linear elasticity. The derivation exploits the gradient dynamics and translation symmetry properties of this class of models to define a generalized energy-momentum tensor whose integral around an arbitrary closed path enclosing the crack tip yields all forces acting on this tip, including Eshelby's configurational forces, cohesive forces, and dissipative forces. This condition is validated quantitatively by numerical simulations.

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