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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 paper studies the multi-scale simulation of the structure by combining the ARLEQUIN method with the extended finite element method (XFEM). Firstly, the basic theory of extended finite element method and ARLEQUIN method is briefly introduced. Based on Matlab software, a multi-scale analysis program based on ARLEQUIN method and extended finite element method is developed. Stress analysis of a cracked slab is carried out and the stress intensity factor near the crack tip is calculated. At the same time, the stress concentration of a square slab with a circular hole under the action of horizontal uniform tension is analyzed. The calculation results show that the program prepared in this paper is correct. It is feasible to combine the ARLEQUIN method with XFEM to carry out multi-scale numerical simulation of structure.