Journal
ENGINEERING FRACTURE MECHANICS
Volume 78, Issue 9, Pages 1906-1927Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfracmech.2011.03.011
Keywords
Element free galerkin method; Orthotropic materials; Enrichment functions; Interaction integral; Stress intensity factors
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A new approach for modeling discrete cracks in two-dimensional orthotropic media by the element free Galerkin method is described. For increasing the solution accuracy, recently developed orthotropic enrichment functions used in the extended finite element method are adopted along with a sub-triangle technique for enhancing the Gauss quadrature accuracy near the crack. An appropriate scheme for selecting the support domains near a crack is employed to reduce the computational cost. In this study, mixed-mode stress intensity factors are obtained by means of the interaction integral to determine the fracture properties. Several problems are solved to illustrate the effectiveness of the proposed method and the results are compared with available results of other numerical or (semi-) analytical methods. (C) 2011 Elsevier Ltd. All rights reserved.
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