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Propagation of transient elastic waves in multilayered composite structure subjected to dynamic anti-plane loading with thermal effects

机译:承受动态反平面载荷并具有热效应的多层复合结构中瞬态弹性波的传播

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摘要

This paper investigates the transient responses of multilayered composite structure under the action of dynamical anti-plane concentrated forces with thermal effects. To obtain the transient solutions, the boundary value problem is presented by using Fourier-Laplace transform; the Cagniard's method is adopted in inversing the solution to be expressed in time domain; and the theory of limit is employed to derive the corresponding static solution. Numerical results show that the closer the receiver's vertical position is to the surface, the slower the transient response approaches the static value in the near field of the transient waves. A sharp fluctuation appears after a short time in the intermediate and far field; and the transient response finally approaches the static value in the end. Variation of the temperature does not affect the waveform and non-dimensional arriving time of the transient shear waves. However, the higher the variation of environmental temperature, the smaller the amplitude of the transient responses.
机译:本文研究了具有热效应的动态反平面集中力作用下多层复合结构的瞬态响应。为了获得瞬态解,通过傅里叶-拉普拉斯变换提出了边值问题。反演时域采用Cagniard方法。运用极限理论推导相应的静态解。数值结果表明,接收器的垂直位置越靠近表面,瞬态响应在瞬态波近场中接近静态值的速度就越慢。短时间后中远场出现急剧的波动;最后,瞬态响应最终接近静态值。温度的变化不会影响瞬态剪切波的波形和无量纲到达时间。但是,环境温度的变化越大,瞬态响应的幅度越小。

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