Reference : Three-dimensional crack initiation, propagation, branching and junction in non-linear...
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Computational Sciences
Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rabczuk, Timon [Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand]
Zi, Goangseup [Department of Civil and Environmental Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, South Korea]
Engineering Fracture Mechanics
Yes (verified by ORBilu)
[en] Cohesive cracks ; Discontinuous enrichment ; Dynamic fracture ; Extended element free Galerkin method (XEFG) ; High velocity impact ; Lagrange multipliers ; Large deformations ; Coalescence ; Computer simulation ; Crack propagation ; Crack tips ; Deformation ; Galerkin methods ; Robustness (control systems) ; Extended meshfree method ; Non-linear solids ; Crack initiation ; Coalescence ; Computer simulation ; Crack initiation ; Crack propagation ; Crack tips ; Deformation ; Galerkin methods ; Robustness (control systems)
[en] 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.
Agency for Defense Development (ADD) grant ADD-06-05-06.
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