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A mode III crack in a functionally graded piezoelectric strip bonded to two dissimilar piezoelectric half-planes

机译:功能梯度压电条中粘结到两个不同压电半平面的III型裂纹

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摘要

In the present paper, the anti-plane shear problem for a cracked functionally graded piezoelectric material (FGPM) layer bonded to two piezoelectric half-planes is studied. The properties of the functionally graded piezoelectric strip, such as elastic modulus, piezoelectric constant and dielectric constant, vary continuously as an exponential function. The crack surface condition is assumed to be electrically impermeable or permeable. Integral transforms are employed to reduce the problem to Cauchy singular equations that can be solved numerically. The effects of the loading parameter A, material constants and the geometry parameters on the stress intensity factor, the energy release ratio and the energy density factor are studied. It is found that for the permeable case, the electric displacement loadings has no contribution to the stress intensity factor and electric displacement intensity factor.
机译:在本文中,研究了结合到两个压电半平面上的裂纹的功能梯度压电材料(FGPM)层的反平面剪切问题。功能梯度压电条的特性(例如弹性模量,压电常数和介电常数)作为指数函数连续变化。假定裂纹表面条件是电不可渗透的或可渗透的。采用积分变换将问题简化为可以在数值上求解的柯西奇异方程。研究了载荷参数A,材料常数和几何参数对应力强度因子,能量释放率和能量密度因子的影响。发现对于渗透性情况,电位移载荷对应力强度因子和电位移强度因子没有贡献。

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