Abstract

This paper presents the numerical simulation of permeable, semi-permeable and impermeable crack interaction study in 2D piezoelectric domains using an element-free Galerkin method (EFGM). The electric and displacement fields are described by introducing the singularity terms into an approximation function. This study is performed with respect to effects of electrical loading, crack surface boundary conditions, crack orientation angles, aspect ratio and number of cracks in order to examine these effects on fracture parameters. Multiple inclined equidistant cracks are considered in piezoelectric domain under different crack surface boundary conditions. The proposed enrichment criterion accurately estimates fracture parameters which shows the robustness, efficacy and applicability of EFGM approach.

摘要

本文介绍了使用无单元伽辽金法 (EFGM) 对二维压电域中的可渗透、半渗透和不可渗透裂纹相互作用研究进行的数值模拟。通过将奇点项引入近似函数来描述电场和位移场。本研究针对电负载、裂纹表面边界条件、裂纹方向角、纵横比和裂纹数量的影响进行，以检验这些对断裂参数的影响。在不同裂纹面边界条件下，压电域考虑多条倾斜等距裂纹。所提出的富集准则准确地估计了断裂参数，显示了 EFGM 方法的稳健性、有效性和适用性。