ABSTRACT

In this article, the generalized model for thermoelastic waves with one relaxation time is utilized to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimension porous medium. By using Fourier–Laplace transforms with the eigenvalue approach, the physical quantities are analytically obtained. The derived method is evaluated with numerical results which are applied to the porous medium in simplified geometry. Numerical outcomes for all the physical quantities considered are implemented and represented graphically. The effects of thermal relaxation time in the temperature, the changes in volume fraction field, the displacement components and the stress components have been depicted graphically.

摘要

本文利用具有一个弛豫时间的热弹性波的广义模型计算二维多孔介质中的温度增量、位移分量、体积分数场变化和应力分量。通过使用具有特征值方法的傅里叶-拉普拉斯变换，可以解析地获得物理量。推导出的方法用数值结果进行评估，数值结果应用于简化几何形状的多孔介质。所考虑的所有物理量的数值结果都以图形方式实现和表示。温度中的热弛豫时间、体积分数场的变化、位移分量和应力分量的影响已被图形化地描绘出来。