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首页> 外文期刊>European Journal of Mechanics. A, Solids >Electroelastic behavior of a rectangular piezoelectric ceramic with an antiplane shear crack at arbitrary position
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Electroelastic behavior of a rectangular piezoelectric ceramic with an antiplane shear crack at arbitrary position

机译：在任意位置具有反平面剪切裂纹的矩形压电陶瓷的电弹性行为

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摘要

Electroelastic analysis of a rectangular piezoelectric ceramic containing an antiplane shear crack at arbitrary position is made in this paper. Results are presented for the cases when two opposite boundaries of the rectangular piezoelectric ceramic parallel to and normal to the crack are exerted by uniform antiplane shear mechanical and inplane electric loadings. The finite Fourier transform method is employed to reduce the mixed boundary-value problem to triple trigonometric series equations, then to a singular integral equations of the first kind. By solving numerically the resulting singular integral equation, field intensity factors and energy release rate are determined numerically for both electrically permeable and impermeable cases. In particular, if letting the height of the rectangle approach infinity, a closed-form solution is obtained analytically. The effects of the geometric parameters including crack position and crack length and applied electric field on energy release rate are shown graphically.
机译：进行了矩形压电陶瓷的电弹性分析，该矩形压电陶瓷在任意位置均具有反平面剪切裂纹。给出了当矩形压电陶瓷的两个相对的边界平行于并垂直于裂纹的两个相对边界通过均匀的反平面剪切机械载荷和平面内电载荷施加时的结果。采用有限傅里叶变换法将混合边值问题简化为三重三角级数方程，然后简化为第一种奇异积分方程。通过数值求解所得的奇异积分方程，可在数值上确定电渗透和非渗透情况下的场强因子和能量释放速率。特别地，如果使矩形的高度接近无穷大，则可以解析地获得封闭形式的解。用图形显示了包括裂纹位置和裂纹长度以及施加的电场在内的几何参数对能量释放速率的影响。

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