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首页> 外文期刊>Journal of thermal stresses >The effect of fractional thermoelasticity on two-dimensional problems in spherical regions under axisymmetric distributions
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The effect of fractional thermoelasticity on two-dimensional problems in spherical regions under axisymmetric distributions

机译：分数热弹性对轴对称分布下球区域二维问题的影响

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摘要

Two-dimensional axisymmetric problems are considered within the context of the fractional order thermoelasticity theory. The general solution is obtained in the Laplace transform domain by using a direct approach without the use of potential functions. The resulting formulation is used to solve two problems of a solid sphere and of an infinite space with a spherical cavity. The surface in each case is taken to be traction free and subjected to a given axisymmetric temperature distribution. The inversion of the Laplace transforms is carried out using the inversion formula of the transform together with Fourier expansion techniques. Numerical methods are used to accelerate the convergence of the resulting series to obtain the temperature, displacement, and stress distributions in the physical domain. Numerical results are represented graphically and discussed. Some comparisons are shown in figures to estimate the effect of the fractional order parameter on all studied fields.
机译：在分数级热弹性理论的背景下考虑二维轴对称问题。通过使用直接方法在Laplace变换域中获得通用解决方案，而不使用潜在的功能。所得到的制剂用于解决固体球体的两个问题和具有球形腔的无限空间。每种情况下的表面被牵引自由牵引并进行给定的轴上温度分布。使用变换的反转公式与傅里叶扩展技术一起进行拉普拉斯变换的反转。数值方法用于加速所得序列的收敛以获得物理域中的温度，位移和应力分布。数值结果以图形方式表示并讨论。图中示出了一些比较，以估计在所有研究领域的分数阶参数的效果。

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