The current paper is concerned with a new size-dependent thermoelastic model where the constitutive and the motion equations are modified. The governing equations of the introduced model are derived based on the generalized dual-phase-lag thermoelastic model and non-local elasticity theory. Additionally, the present work is an attempt to investigate a thermoelastic interaction in an infinite medium with a cylindrical cavity based on the proposed model. The cavity surface is traction free and exposed to a time-dependent moving heat source. The analytical formulas for the field quantities are obtained first in the Laplace transform domain. To find the inverse Laplace transform into the physical quantities, a numerical technique is performed. The numerical results are discussed in different cases to highlight the effect of the size -scale parameter and the speed of the heat source on the studied thermo-physical fields.

目前的论文关注的是一种新的尺寸相关的热弹性模型，其中修改了本构方程和运动方程。引入模型的控制方程是基于广义双相滞后热弹性模型和非局部弹性理论推导的。此外，目前的工作是尝试基于所提出的模型研究具有圆柱形腔的无限介质中的热弹性相互作用。型腔表面无牵引力并暴露于随时间变化的移动热源。首先在拉普拉斯变换域中得到场量的解析公式。为了将拉普拉斯逆变换找到物理量，需要执行一种数值技术。