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首页> 外文期刊>Acta Mechanica >Dynamic behavior of a crack in a functionally graded piezoelectric strip bonded to two dissimilar half piezoelectric material planes
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Dynamic behavior of a crack in a functionally graded piezoelectric strip bonded to two dissimilar half piezoelectric material planes

机译：功能梯度压电条中与两个不同的半压电材料平面相连的裂纹的动态行为

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摘要

The dynamic behavior of a crack in a functionally graded piezoelectric material (FGPM) strip bonded to two half dissimilar piezoelectric material planes subjected to combined harmonic anti-plane shear wave and in-plane electrical loading was studied under the limited permeable and permeable electric boundary conditions. It was assumed that the elastic stiffness, piezoelectric constant and dielectric permittivity of the functionally graded piezoelectric layer vary continuously along the thickness of the strip. By using the Fourier transform, the problem can be solved with a set of dual integral equations in which the unknown variables are the jumps of the displacements and the electric potentials across the crack surfaces. In solving the dual integral equations, the jumps of the displacements and the electric potentials across the crack surfaces were expanded in a series of Jacobi polynomials. Numerical results illustrate the effects of the gradient parameter of FGPM, electric loading, wave number, thickness of FGPM strip and electric boundary conditions on the dynamic stress intensity factors (SIFs).
机译：在有限的可渗透和可渗透电边界条件下，研究了功能梯度压电材料（FGPM）条中的裂纹在两个不同压电材料平面上的裂纹的动态行为，这些平面受到组合的谐波反平面剪切波和面内电载荷的作用。假定功能梯度压电层的弹性刚度，压电常数和介电常数沿带的厚度连续变化。通过使用傅立叶变换，可以用一组对偶积分方程来解决该问题，其中未知变量是位移和跨裂纹表面的电势的跃变。在求解对偶积分方程时，位移的跃迁和跨裂纹表面的电势被扩展为一系列Jacobi多项式。数值结果说明了FGPM的梯度参数，电载荷，波数，FGPM条带的厚度以及电边界条件对动应力强度因子（SIF）的影响。

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