A model of generalized thermoelasticity is proposed here for an isotropic slab. The governing equations of motion and heat conduction equation are written in context of memory-dependent derivative with two-phase lag variables in the presence of heat source. A vector matrix differential equation is formulated as a compact form of the governing equations in transformed domain. The corresponding solution is obtained with the help of eigenvalue approach and integral transformation. Numerical computations for the important physical variables like displacement, thermal strain, stress components, and temperature distribution with respect to space variables are evaluated and represented graphically.

这里提出了一个用于各向同性板的广义热弹性模型。运动控制方程和热传导方程是在热源存在的情况下在具有两相滞后变量的记忆相关导数的背景下编写的。向量矩阵微分方程被表述为变换域中控制方程的紧凑形式。借助特征值法和积分变换得到相应的解。对位移、热应变、应力分量和温度分布等重要物理变量的数值计算进行评估并以图形方式表示。