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首页> 外文期刊>Journal of Solid Mechanics and Materials Engineering >Transient and Dynamic Stress Analysis of Functionally Graded Thick Hollow Cylinder Subjected to Thermal Shock Loading Using an Analytical Method
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Transient and Dynamic Stress Analysis of Functionally Graded Thick Hollow Cylinder Subjected to Thermal Shock Loading Using an Analytical Method

机译:功能梯度厚空心圆柱在热冲击载荷作用下的瞬态和动态应力分析

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In this paper, an analytical method is presented to investigate dynamic characteristics in a functionally graded thick hollow cylinder under thermal shock loading. Thermo-mechanical properties of functionally graded (FG) thick hollow cylinder are assumed to be temperature independent and vary continuously in the radial direction. Dynamic thermo-elastic equation of the problem is analytically solved by employing the Laplace transform and series solution. The dynamic thermo-elastic stresses in a functionally graded thick hollow cylinder subjected to axisymmetric thermal shock loading are obtained and presented in closed forms at Laplace domain. The results are obtained in time domain using the fast Laplace inverse transform method. The dynamic behaviors of thermo-elastic stresses are illustrated and discussed for various grading patterns of thermo-mechanical properties in several points across the thickness of FG cylinder and cylinder thickness parameter. The presented analytical method furnishes a ground to study the time histories of radial and hoop stresses in FG cylinders with different thickness and various exponents of volume fraction. The presented results show good agreement with published data in previous literatures.
机译:在本文中,提出了一种分析方法来研究功能梯度的空心圆柱在热冲击载荷下的动力学特性。假定功能梯度(FG)厚的空心圆柱体的热机械性能与温度无关,并且在径向方向上连续变化。通过使用拉普拉斯变换和级数解可以解析地解决该问题的动态热弹方程。获得了功能梯度厚空心圆柱体中承受轴对称热冲击载荷的动态热弹性应力,并以拉普拉斯域的闭合形式表示。使用快速拉普拉斯逆变换方法在时域中获得结果。阐述并讨论了热弹性应力的动态行为,这些热力学应力在FG圆柱体的厚度和圆柱体厚度参数的多个点上具有多种梯度模式。所提出的分析方法为研究具有不同厚度和不同体积分数指数的FG圆柱体中径向和环向应力的时间历史奠定了基础。给出的结果表明与先前文献中已发表的数据吻合良好。

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