界面裂纹的Cell-Based光滑有限元法研究

为提高求解含界面裂纹结构断裂参数的精度,基于界面断裂力学和Cell-Based光滑有限元法,提出了求解双材料界面裂纹断裂参数的Cell-Based光滑有限元法,给出了求解应力强度因子的光滑子域交互积分法,对含中心界面裂纹双材料无限板进行了模拟,并与FEM计算结果和解析解进行了对比,讨论了光滑子元数和单元个数与正则应力强度因子的关系及其收敛性.数值算例结果表明该方法具有很好的收敛性和精度,可为研究人员和工程师设计制造多层材料提供必要参考.

Research on Cell-Based Smoothed Finite Element Method of Interface Cracks

To improve the accuracy of the fracture parameters of interface fracture structure, based on the interfacial fracture mechanics and smoothed finite element method, Cell-Based smoothed finite element method was proposed to solve the fracture parameters of bi-material interface crack, and the smoothing cells of the interaction integral method was given to obtain the stress intensity factor. The central interface cracks of bi-material infinite plate were simulated, and the FEM calculation results and the analytical solution were compared. The relationships among the number of elements, the number of subdomain and normalization stress intensity factors as well as the convergence of the proposed method were discussed. Numerical example results show that this method has good convergence and high accuracy and can be designed and manufactured as necessary references for researchers and engineers in multilayer materials.