Abstract

A two-dimensional fractional thermoviscoelastic problem for solid sphere under axisymmetric temperature distribution is presented. The solution of the problem is obtained in the Laplace transform domain by using a direct approach. The surface of the sphere is taken to be traction-free and subjected to the given axisymmetric temperature distribution. The inversion of the Laplace transform is carried out using the inversion formulas of the transform together with Fourier expansion techniques. Numerical results are represented graphically and discussed.

中文翻译：

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Atangana–Baleanu 分数阶导数对轴对称分布下固体球体二维热粘弹性问题的影响

摘要

提出了轴对称温度分布下固体球体的二维分数阶热粘弹性问题。该问题的解决方案是通过使用直接方法在拉普拉斯变换域中获得的。球体的表面被认为是无牵引力的，并服从给定的轴对称温度分布。拉普拉斯变换的反演是使用变换的反演公式和傅里叶展开技术进行的。数值结果以图形方式表示和讨论。