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BIEM solution of piezoelectric cracked finite solids under time-harmonic loading

机译：时谐载荷下压电裂纹有限固体的BIEM解

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摘要

The time-harmonic behavior of cracked finite piezoelectric 2D solids of arbitrary shape is studied by the nonhypersingular traction boundary integral equation method (BIEM). Plane strain and generalized traction free boundary conditions along the crack are assumed. The system may be loaded at the external boundary by arbitrary mechanical or electrical loads. As numerical example a center cracked rectangular piezoelectric plate under time-harmonic tension and electrical displacement is investigated in detail. The accuracy of the proposed numerical algorithm is checked by comparison with available results obtained by other methods for special cases. Parametric studies revealing the sensitivity of the stress intensity factors (SIFs) on the frequency of the applied mechanical and electrical load, on its coupled and uncoupled character and on the piezoelectric properties of the material are presented.
机译：利用非超奇牵引力边界积分方程法（BIEM）研究了任意形状的裂纹有限压电二维固体的时谐行为。假定了沿裂纹的平面应变和广义牵引自由边界条件。可以通过任意的机械或电气负载在外部边界上加载系统。作为数值实例，详细研究了时谐张力和电位移作用下的中心开裂矩形压电板。通过与特殊情况下其他方法获得的可用结果进行比较，来检验所提出的数值算法的准确性。进行了参数研究，揭示了应力强度因子（SIF）对施加的机械和电气负载的频率，其耦合和非耦合特性以及材料的压电特性的敏感性。

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