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首页> 外文期刊>International Journal of Solids and Structures >Study of a propagating finite crack in functionally graded piezoelectric materials considering dielectric medium effect
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Study of a propagating finite crack in functionally graded piezoelectric materials considering dielectric medium effect

机译：考虑介电介质效应的功能梯度压电材料中扩展裂纹的研究

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摘要

This paper provides a study of the problem of a propagating finite crack under in-plane loading in func_tionally graded piezoelectric materials (FGPMs). The analytical formulations are developed by Fourier transforms and the resulting singular integral equations are solved by using Chebyshev polynomials. By using a dielectric crack model with deformation-dependent electric boundary condition, numerical simulations are made to show the effects of the dielectric medium, the gradient of material properties and the speed of crack propagation on the fracture parameters, such as the stress, electric displacement and crack opening displacement intensity factors. A critical state for the electromechanical loading applied to the FGPMs is observed, which determines whether the traditionally impermeable (or perme_able) crack model serves as the upper or lower bound for the dielectric model. The validity of this dielec_tric crack model is also examined by comparing the results of different existing crack models.
机译：本文对功能梯度压电材料（FGPM）在平面载荷下有限裂纹扩展的问题进行了研究。通过傅立叶变换开发解析公式，并使用Chebyshev多项式求解所得奇异积分方程。通过使用具有与变形有关的电边界条件的介电裂纹模型，进行了数值模拟，以显示介电介质，材料特性梯度和裂纹扩展速度对断裂参数（如应力，电位移）的影响和裂纹开口位移强度因子。观察到施加到FGPM的机电负载的临界状态，该临界状态确定传统的不渗透（或可渗透）裂缝模型是用作介电模型的上限还是下限。还通过比较现有的不同裂纹模型的结果来检验该双裂纹模型的有效性。

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