Abstract

Present work is aimed to study the solution of a problem on thermoelastic interactions in a functionally graded material under dual-phase-lag model in the presence of rotation and gravity. By employing the normal mode technique, the analytical expressions for the displacement components, stresses and temperature field are obtained in the physical domain. These expressions are also calculated numerically and represented graphically in the presence and absence of gravity and rotation. Discussions have been made to highlight the effects of non-homogeneity, rotation and gravity on these physical fields. Moreover, the significant differences in the numerical results for three models known as dual-phase-lag (DPL) model, Lord–Shulman (L–S) model, and coupled thermoelastic (C-T) model are also observed for two different times. Some particular cases of interest have been inferred from the present study. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, the work in its present form i.e., thermally induced vibrations in a non-homogeneous thermoelastic material with rotation and gravity under DPL model has not been studied till now.

摘要

目前的工作旨在研究在存在旋转和重力的情况下，在双相滞后模型下功能梯度材料中热弹性相互作用问题的解决方案。通过采用正模态技术，在物理域中得到了位移分量、应力和温度场的解析表达式。这些表达式也以数字方式计算，并在存在和不存在重力和旋转的情况下以图形方式表示。已经进行了讨论以强调非均匀性、旋转和重力对这些物理场的影响。此外，还观察到两个不同时间的双相滞后 (DPL) 模型、Lord-Shulman (L-S) 模型和耦合热弹性 (CT) 模型这三种模型的数值结果存在显着差异。从本研究中推断出一些感兴趣的特定案例。尽管确实存在各种研究来观察热弹性介质在不同参数的影响下的扰动，但目前形式的工作，即在 DPL 模型下具有旋转和重力的非均匀热弹性材料中的热诱导振动直到现在。