In the present study, the identification of thermodynamic damping is investigated on mass diffusion in the solid body deformation due to the heat emanating from a cavity into the medium. The governing equations have come into the possession of mechanics of continuous medium by employing the D’Alembert’s principle, non-classical heat conduction theory, conservation of energy and the theory of ‘non-Fickian’ mass diffusion. In the framework of spherical symmetry, displacement, radial stresses as well as temperature distributions is distinguished for different measures of time delay. The expression of the field functions are obtained in terms of modified Bessel’s functions in the Laplace transform domain. A compatible form of discretization and numerical computational technique of inverse Laplace transformation is analyzed. In order to estimate the nature of the displacements, stresses and temperature distributions in the physical domain, an efficient approximate numerical inverse Laplace transform technique is adopted. The effect of mass diffusion (MD) on the thermoelastic deformation is analyzed meticulously for the various speed of revolution, diffusive relaxation time, thermal time delay and those are categorically compared with the existing results reported in the literature. Moreover, the present study can be comprehensively applied to the anisotropic medium, with or without energy dissipation.

在本研究中，热力学阻尼的识别研究了由于热量从空腔散发到介质中而导致的固体变形中的质量扩散。通过采用达朗贝尔原理、非经典热传导理论、能量守恒和“非菲克”质量扩散理论，控制方程已成为连续介质力学的一部分。在球对称的框架内，位移、径向应力以及温度分布因时间延迟的不同度量而不同。场函数的表达式是根据拉普拉斯变换域中的修正贝塞尔函数得到的。分析了一种兼容形式的离散化和拉普拉斯逆变换数值计算技术。为了估计物理域中位移、应力和温度分布的性质，采用了一种有效的近似数值拉普拉斯逆变换技术。详细分析了质量扩散（MD）对热弹性变形的影响，包括各种转速、扩散弛豫时间、热时间延迟，并与文献报道的现有结果进行了分类比较。此外，本研究可以全面应用于各向异性介质，无论有无能量耗散。详细分析了质量扩散（MD）对热弹性变形的影响，包括各种转速、扩散弛豫时间、热时间延迟，并与文献报道的现有结果进行了分类比较。此外，本研究可以全面应用于各向异性介质，无论有无能量耗散。详细分析了质量扩散（MD）对热弹性变形的影响，包括各种转速、扩散弛豫时间、热时间延迟，并与文献报道的现有结果进行了分类比较。此外，本研究可以全面应用于各向异性介质，无论有无能量耗散。