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首页> 外文期刊>Journal of thermal stresses >NORMAL CRACKS IN A FUNCTIONALLY GRADED PIEZOELECTRIC MATERIAL STRIP UNDER TRANSIENT THERMAL LOADING
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NORMAL CRACKS IN A FUNCTIONALLY GRADED PIEZOELECTRIC MATERIAL STRIP UNDER TRANSIENT THERMAL LOADING

机译：瞬态热载荷作用下功能梯度压电材料条中的正常裂纹

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摘要

Piezoelectric materials widely have been used as sensors and actuators in smart or intelligent systems to sense thermally induced distortions and to adjust for adverse thermomechanical conditions. The requirements of structural strength, reliability and lifetime of these structures call for a better understanding of the mechanics of fracture in piezoelectric materials under thermal loading. In this paper, the fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing two cracks (coplanar cracks) perpendicular to its boundaries is considered. The problem is solved for an FGPM strip that is suddenly heated from the bottom surface. The top surface is maintained at the initial temperature. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Laplace and Fourier transforms, the thermoelectromechanlcal fracture problem is reduced to a set of singular integral equations, which are solved numerically. The stress intensity factors for the cases of the single crack, the two embedded cracks, two edge cracks, and an embedded and an edge cracks are computed and presented as a function of the normalized time, the nonhomogeneous and geometric parameters.
机译：压电材料已广泛用作智能或智能系统中的传感器和致动器，以感测热引起的变形并针对不利的热机械条件进行调整。这些结构的结构强度，可靠性和寿命的要求要求更好地了解热负荷下压电材料的断裂力学。在本文中，考虑了包含两个垂直于其边界的裂纹（共面裂纹）的功能梯度压电材料带（FGPM带）的断裂问题。对于从底面突然加热的FGPM带材，该问题已解决。顶表面保持在初始温度。裂纹面应完全绝缘。假定材料属性与底表面的距离呈指数关系。通过使用Laplace和Fourier变换，将热机电断裂问题简化为一组奇异积分方程，并对其进行了数值求解。计算单个裂纹，两个嵌入裂纹，两个边缘裂纹以及一个嵌入裂纹和一个边缘裂纹的应力强度因子，并将其作为归一化时间，非均匀和几何参数的函数。

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