An Eulerian form of thermodynamically consistent generalized thermoelastic model capable of accounting for thermal signals is proposed. The heat flux is assumed to consist of both energetic and dissipative components. The constitutive relations for the stress, entropy and the heat fluxes are derived in the spatial coordinate system. Later on, a domain of dependence inequality for the proposed hyperbolic type heat conduction model is proved. The linearised form of this improved thermoelasticity theory of finite deformation is employed to study the thermoelastic interactions due a continuous source of heat in isotropic elastic solids. This newly developed model is also applied in a thermoelastic saturated porous medium. In order to obtain the exact analytical expressions of the field functions, appropriate integral transformations are employed in a convenient way.

提出了一种能够考虑热信号的热力学一致广义热弹性模型的欧拉形式。假定热通量由高能和耗散成分组成。在空间坐标系中导出了应力，熵和热通量的本构关系。随后，证明了所提出的双曲型热传导模型的依赖不等式的域。这种改进的有限变形热弹性理论的线性化形式用于研究各向同性弹性固体中由于连续供热而产生的热弹性相互作用。该新开发的模型还应用于热弹性饱和多孔介质中。为了获得场函数的精​​确解析表达式，