BEM for crack‐inclusion problems of plane thermopiezoelectric solids
BEM for crack‐inclusion problems of plane thermopiezoelectric solids
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DOI：
10.1002/(sici)1097-0207(20000710)48:7
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发表时间：
2000-07
影响因子：
2.9
通讯作者：
Q. Qin;Meng Lu
中科院分区：
文献类型：
--
作者：
Q. Qin;Meng Lu
本文采用边界元法（BEM）研究了热压电固体中夹杂与多条裂纹相互作用的问题。首先，借助位势变分原理、位错概念以及格林函数，建立了针对裂纹 - 夹杂问题的边界元法。在边界元模型中，夹杂与基体之间界面的连续性条件通过格林函数预先满足，而不包含在边界元方程中。然后，通过在变换后的m平面中用复变量m_t和m_k的多项式来表示应力和电位移（SED）以及弹性位移和电势（EDEP），以便用边界元法模拟SED强度因子。接着，可以使用结合边界元公式的最小二乘法直接计算SED强度因子。给出了一个含一个夹杂和一条裂纹的压电板的数值结果，以说明所提公式的应用。版权所有（2000年，约翰威立父子有限公司）
The problem of interactions between an inclusion and multiple cracks in a thermopiezoelectric solid is considered by boundary element method (BEM) in this paper. First of all, a BEM for the crack}inclusion problem is developed by way of potential variational principle, the concept of dislocation, and Green's function. In the BE model, the continuity condition of the interface between inclusion and matrix is satis"ed, a priori, by the Green's function, and not involved in the boundary element equations. This is then followed by expressing the stress and electric displacement (SED) and elastic displacements and electric potential (EDEP) in terms of polynomials of complex variables m t and m k in the transformed m-plane in order to simulate SED intensity factors by the BEM. The least-squares method incorporating the BE formulation can, then, be used to calculate SED intensity factors directly. Numerical results for a piezoelectric plate with one inclusion and a crack are presented to illustrate the application of the proposed formulation. Copyright ( 2000 John Wiley & Sons, Ltd.