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Numerical simulation of crack growth in piezoelectric structures by BEM

机译：边界元法对压电结构裂纹扩展的数值模拟

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摘要

In this paper, a dual boundary element computer program is developed for numerical simulation of a crack propagating in piezoelectric plates under a combined quasi-static electric and mechanical loading. To determine the crack growth path, two fracture criteria are taken into account: the maximum of hoop stress intensity factor (HSIF) and hoop mechanical strain energy release rate (HMERR). By using the displacement extrapolation method, these fracture parameters of any small kinked crack branch are obtained and validated by comparing with the available analytical results. The critical fracture loads for some test specimens are numerically analyzed based on the maximum HMERR fracture criterion. Different electrical boundary conditions on the crack faces are considered and checked with the experimental data. Finally, one crack or a pair of cracks propagating in infinite or finite piezoelectric plates is numerically simulated. The influences of the loading conditions, the anisotropic fracture toughness and the interaction between the cracks on the crack growth paths are also studied. The comparisons with the exiting finite element results show the accuracy and efficiency of the present BEM program for numerical simulation of crack growth in piezoelectric materials.
机译：在本文中，开发了一种双边界元计算机程序，用于在准静态电气和机械载荷组合作用下对压电板中裂纹扩展的数值模拟。为了确定裂纹的扩展路径，需要考虑两个断裂准则：最大环向应力强度因子（HSIF）和环向机械应变能释放速率（HMERR）。通过位移外推法，获得了任何小扭结裂纹分支的断裂参数，并与现有分析结果进行了比较。根据最大HMERR断裂准则，对一些试样的临界断裂载荷进行了数值分析。考虑裂缝表面上的不同电边界条件，并用实验数据进行检查。最后，对在无限或有限压电板上传播的一个或一对裂纹进行了数值模拟。还研究了载荷条件，各向异性断裂韧性以及裂纹之间的相互作用对裂纹扩展路径的影响。与现有有限元结果的比较表明，本BEM程序用于压电材料裂纹扩展数值模拟的准确性和效率。

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