Abstract
AbstractThe paper outlines a variational formulation of brittle fracture in solids and considers its numerical implementation by a distinct finite element method. The starting point is a variational setting of fracture mechanics that recasts a monotonic quasistatic fracture process into a sequence of incremental minimization problems. The proposed implementation introduces discretized crack patterns with material‐force‐driven incremental crack‐segment releases. These releases of crack segments constitute a sequence of positive definite subproblems with successively decreasing overall stiffness, providing an extremely robust algorithmic setting in the postcritical range. The formulation is embedded into accompanying r‐adaptive crack‐pattern reorientation procedures with material‐force‐based indicators, providing reorientations of elements at the crack‐tip. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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