Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment |
| |
Authors: | Stéphane Bordas Timon Rabczuk Goangseup Zi |
| |
Affiliation: | a Civil Engineering Department, University of Glasgow, Rankine Building, Glasgow G12 8LT, UK b Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand c Department of Civil and Environmental Engineering, Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul 136-701, Republic of Korea |
| |
Abstract: | 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. |
| |
Keywords: | Extended element free Galerkin method (XEFG) Discontinuous enrichment Cohesive cracks Lagrange multipliers Dynamic fracture Large deformations High velocity impact |
本文献已被 ScienceDirect 等数据库收录! |
|