Abstract An exact solution of a thermal shock for a circular cylinder is presented. A refined multi-dual-phase-lag generalized thermoelasticity model is proposed. The application of initial conditions without using Laplace transform is effected. The exact solutions of main physical fields are obtained analytically in the radial direction using the normal mode technique. For the case where the mechanical and thermal loads are applied on the inner and outer surfaces of the cylinder. Numerical results for the distributions of radial displacement, temperature, radial, hoop, and axial stresses are illustrated graphically. Extensive results are tabulated to show the accuracy of the present model. The results will also be used as benchmarks for forthcoming comparisons with other investigations. The results indicate that the effects of internal and external pressures and time are very pronounced.

中文翻译：

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基于多双相滞后理论的空心圆柱体热冲击问题

摘要 给出了圆柱体热冲击的精确解。提出了一种改进的多双相滞后广义热弹性模型。不使用拉普拉斯变换的初始条件的应用是有效的。主要物理场的精确解是使用正常模式技术在径向上解析获得的。对于机械和热负荷施加在气缸内外表面的情况。以图形方式说明了径向位移、温度、径向、环向和轴向应力分布的数值结果。广泛的结果列表显示了当前模型的准确性。结果还将用作即将与其他调查进行比较的基准。