Journal
ENGINEERING FRACTURE MECHANICS
Volume 75, Issue 5, Pages 943-960Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfracmech.2007.05.010
Keywords
extended element free Galerkin method (XEFG); discontinuous enrichment; cohesive cracks; Lagrange multipliers; dynamic fracture; large deformations; high velocity impact
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Funding
- National Research Foundation of Korea [과C6A1701] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This paper presents a three-dimensional, extrinsically enriched meshfree method for initiation, branching, growth and coalescence of an arbitrary number of cracks in non-linear solids including large deformations, for statics and dynamics. The novelty of the methodology is that only an extrinsic discontinuous enrichment and no near-tip enrichment is required. Instead, a Lagrange multiplier field is added along the crack front to close the crack. This decreases the computational cost and removes difficulties involved with a branch enrichment. The results are compared to experimental data, and other simulations from the literature to show the robustness and accuracy of the method. (c) 2007 Elsevier Ltd. All rights reserved.
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