A novel numerical approach is proposed herein to study thermomechanical wave propagation in annular disks made of viscoelastic materials under inner thermal shock based on the Lord–Shulman (L–S) theory and the Kelvin–Voigt model. It is assumed that the temperature change is considerable in comparison with the reference temperature and the original nonlinear form of energy equation is considered accordingly. In the polar coordinate system, the coupled governing equations are obtained in a weak form which is then solved using the variational differential quadrature (VDQ) technique. The influences of viscoelastic character and thermal shock on the propagation of temperature and radial displacement of disk are investigated. In addition, the predictions of thermally linear and nonlinear models are compared.

基于 Lord-Shulman (L-S) 理论和 Kelvin-Voigt 模型，本文提出了一种新的数值方法来研究由粘弹性材料制成的环形盘在内部热冲击下的热机械波传播。假设温度变化与参考温度相比相当大，并据此考虑能量方程的原始非线性形式。在极坐标系中，耦合控制方程以弱形式获得，然后使用变分微分求积 (VDQ) 技术求解。研究了粘弹性和热冲击对温度传播和圆盘径向位移的影响。此外，还比较了热线性和非线性模型的预测。