Coupling between meshless method and finite element method
based on Arlequin method
QIAO Hua1, CHEN Wei-qiu2
1.Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China;
2. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
This work presented a new method to couple finite element method and meshless method. Based on the concepts of meshless method and Arlequin method, a new idea for coupling these two methods was proposed by using the Arlequin method. The program for the coupling between the meshless Galerkin method and the finite element method was developed. A cantilever beam under a vertical uniform load at the free end as well as an edge-cracked plate with one end clamped and the other under uniform tension were considered, and the influences of the coupling analysis on the stress fields in the meshless and finite element regions or the crack-tip stress intensity factor were discussed. The numerical results justified the correctness of the program as well as the feasibility of the application of the Arlequin method to couple the finite element method and meshless method.
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