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首页> 外文期刊>Applied Mathematical Modelling >Wave propagation and transient response of a functionally graded material plate under a point impact load in thermal environments
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Wave propagation and transient response of a functionally graded material plate under a point impact load in thermal environments

机译：功能梯度材料板在热环境中的点冲击载荷下的波传播和瞬态响应

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摘要

In this paper, the wave propagation and transient response of an infinite functionally graded plate under a point impact load in thermal environments are studied. The thermal effects and temperature-dependent material properties are taken into account. The temperature field considered is assumed to be a uniform distribution over the plate surface and varies in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Considering the effects of transverse shear deformation and rotary inertia, the governing equations of the wave propagation in the functionally graded plate are derived from Hamilton's principle. The analytic dispersion relation of the functionally graded plate is obtained by means of integral transforms and a complete discussion of dispersion for the functionally graded plate is given. Using the dispersion relation and integral transforms, exact integral solutions of the functionally graded plate under a point impact load in thermal environments are obtained. The influences of the volume fraction distributions and temperature field on the wave propagation and transient response of functionally graded plates are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and provide a theoretical basis for engineering applications.
机译：本文研究了在热环境下点冲击载荷作用下无限功能梯度板的波传播和瞬态响应。考虑了热效应和与温度有关的材料特性。假定所考虑的温度场是板表面上的均匀分布，并且仅在厚度方向上变化。假定材料特性与温度有关，并且根据成分的体积分数，根据简单的幂律分布在厚度方向上进行分级。考虑到横向剪切变形和旋转惯性的影响，从汉密尔顿原理推导了功能梯度板中波传播的控制方程。通过积分变换得到了功能梯度板的解析色散关系，并给出了功能梯度板色散的完整讨论。利用色散关系和积分变换，可以获得在热环境下点冲击载荷下功能梯度板的精确积分解。详细讨论了体积分数分布和温度场对功能梯度板波传播和瞬态响应的影响。进行的结果可用于超声检查技术，并为工程应用提供理论依据。

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