An enhanced element-free Galerkin (EFG) method with enhancement functions is proposed to improve the solution accuracy for linear elastic fracture problem. The enhancement functions are added to the conventional EFG approximation for the implicit description of near-tip field. The discontinuity of crack surface is efficiently modeled by introducing a discontinuity function. Essential boundary conditions are enforced with the penalty method and a coupling with finite element. The proposed method models the crack growth implicitly without node operation so that the initial node arrangement is not modified until the end of analysis. Numerical examples for various crack problems show the robustness of the proposed method by examining the stress intensity factor, near-tip stress field and errors.
Bibliographical noteFunding Information:
This work was partially supported by the Korea Institute of Science & Technology Evaluation and Planning (KISTEP) and Korea Research Foundation Grant (KRF-2002-042-D00115).
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Nuclear Energy and Engineering
- Materials Science(all)
- Safety, Risk, Reliability and Quality
- Waste Management and Disposal
- Mechanical Engineering