基于ARLEQUIN方法和XFEM的结构多尺度模拟

MULTI-SCALE SIMULATION OF STRUCTURES BASED ON ARLEQUIN METHOD AND XFEM

该文研究考察ARLEQUIN方法与扩展有限单元法(XFEM)相结合进行结构的多尺度模拟。首先简要介绍了扩展有限单元法和ARLEQUIN方法的基本理论,基于Matlab软件编制了ARLEQUIN方法和扩展有限元方法相结合的多尺度分析程序。对一带边裂纹的板进行了应力分析并计算裂纹尖端附近应力强度因子,同时对一中心带圆孔的方板在受水平均布拉力作用下的孔口应力集中问题进行了分析。计算结果表明:该文编制的程序是正确的,将ARLEQUIN方法和XFEM相结合进行结构多尺度数值模拟是可行的。

This article is concerned with the multi-scale numerical simulation of structures through the ARLEQUIN method and the extended finite element method （XFEM）.The basic concepts of the extended finite element method and the ARLEQUIN method are introduced.Based on the combination of the ARLEQUIN method and the extended finite element method,the Matlab code for the multi-scale simulation of structures has been developed.The stress analysis of a plate with a prescribed edge crack is done and the stress intensity factor around crack tip is calculated.In addition,the stress concentration analysis of a square plate with a circular hole at the center is presented.The numerical results show the correctness of the program as well as the feasibility of the multi-scale numerical simulation with the combination of the Arlequin method and the extended finite element method.