Generalized Thermoelastic Models for Linear Elastic Materials with Micro-structure Part II: Enhanced Lord-Shulman Model

In this article, we derive constitutive thermoelastic models for linear elastic materials with micro-structure. The elastic behavior is assumed to be consistent with Mindlin Form II, whereas for the thermal behavior, the generalization of Fourier-Duhamel law proposed by Maxwell-Vernotte-Cattaneo is adopted. The resulting model is actually a generalization of the thermoelastic theory of Lord and Shulman, suitable for linear elastic materials with micro-structure taking into account micro-inertia effects as well. Uniqueness of the solution for the general case of anisotropic materials is proved. An application example is analyzed by means of the Finite Element method and comparisons are made with the generalized Green-Lindsay model derived in "Generalized Thermoelastic Models for Linear Elastic Materials with Micro-Structure Part I: Enhanced Green-Lindsay Model," also in this issue.