The present study approaches the theory of Moore–Gibson–Thompson thermoelasticity in the context of the materials with double porosity structure. The main results of the present study are based on a reciprocity theorem for the thermoelastic materials with double porosity that leads us in determining of the uniqueness theorems for the solution of mixed problems for the materials with double porosity. The reciprocity theorem is a Betti-type result that has the main goal to establish the connection between the external action systems and their thermoelastic states. In order to obtain the uniqueness results, it was introduced a new form of energy equation.

中文翻译：

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双孔材料背景下的 Moore-Gibson-Thompson 热弹性

本研究在具有双孔隙结构的材料的背景下接近摩尔-吉布森-汤普森热弹性理论。本研究的主要结果基于双孔隙率热弹性材料的互易定理，该定理引导我们确定解决双孔隙率材料混合问题的唯一性定理。互易定理是 Betti 类型的结果，其主要目标是建立外部作用系统与其热弹性状态之间的联系。为了获得唯一性结果，引入了一种新形式的能量方程。