In this paper, four thermoelasticity models are applied to investigate the thermo-mechanical waves in an axisymmetric rotating disk. For this purpose, some modifications of Green and Naghdi’s generalized thermoelasticity theory have been made. These novel dual- and triple-phase-lag models are presented. The closed-form solution governing equations of thermomechanical waves in the rotating disk has been presented. Some validation results are tabulated to compare the simple and refined dual- and triple-phase lag models based upon the Green–Naghdi theory. The effects of dimensionless time and angular speed on all variables are investigated. The validity of results is acceptable and benchmark results are tabulated to aid other researchers in their upcoming comparisons.

中文翻译：

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使用改进的 Green-Naghdi 模型的轴对称旋转盘中的热机械波

本文采用四种热弹性模型来研究轴对称旋转盘中的热机械波。为此，对 Green 和 Naghdi 的广义热弹性理论进行了一些修改。介绍了这些新颖的双相和三相滞后模型。给出了旋转盘中热机械波的闭式解控制方程。将一些验证结果制成表格，以比较基于 Green-Naghdi 理论的简单和改进的双相和三相滞后模型。研究了无量纲时间和角速度对所有变量的影响。结果的有效性是可以接受的，并且将基准结果制成表格以帮助其他研究人员进行即将进行的比较。