Present research is concerned with the study of two-dimensional disturbances in a non-homogeneous, isotropic, thermoelastic medium with voids and gravity under the purview of Lord–Shulman (LS) model of generalized thermoelasticity. The formulation is subjected to a thermal shock. All the mechanical and thermal properties of the solid are supposed to vary exponentially with distance. Normal mode technique is employed to obtain the exact expressions for the displacement components, stresses, change in volume fraction field and temperature field. These are also calculated numerically for a magnesium crystal-like material and depicted through graphs to observe the variations of the considered physical quantities. Influences of non-homogeneity, gravitational field, voids and relaxation time on the physical quantities are carefully analyzed. A comparison between the models of coupled thermoelasticity theory and LS theory is also presented.

当前的研究涉及在广义热弹性的Lord-Shulman（LS）模型的作用下，在具有空隙和重力的非均匀，各向同性，热弹性介质中的二维扰动的研究。该制剂受到热冲击。固体的所有机械和热学性质都应随距离呈指数变化。使用标准模式技术来获得位移分量，应力，体积分数场和温度场变化的精确表达式。对于镁晶体状材料，这些值也可以通过数值计算得出，并通过图表进行描述，以观察所考虑的物理量的变化。仔细分析了非均匀性，重力场，空隙和弛豫时间对物理量的影响。