Transient Response in a Micropolar Mixture of Porous Media During Thermal Shock

Abstract

In this article, the micropolar mixture theory for porous media is generalized in the context of generalized L-S theory and classical C-T theory of thermoelasticity. The thermoelastic problem for a micropolar mixture of porous media is investigated in the context of the generalized micropolar mixture theory for porous media. The surface of a semi-infinite porous media is subjected to a zonal time-dependent thermal shock. The problem is solved by using the finite element method. The results, including the temperature, stresses, displacements, and microrotation are presented graphically. Comparisons are made between the results obtained by using two theories. The fluid constituting the mixture has a significant influence on the microrotation but a very slight influence on other responses.

Dynamic analysis to the fractional order thermoelastic problem of porous structure

“…In addition, Xiong and Tian [30][31][32][33] made significant contributions to the research of porous materials, however, there are few concerns of the thermoelastic responses of porous media in the frame of combining the thermoelasticity and the fractional-order theory in the existing literatures. So, in this paper, according to the new fractional-order model proposed by Ezzat [22], the fractional-order thermoelastic problem of a porous structure with a spherical cavity is investigated.…”

Analytical solution of micropolar functionally graded materials (FGM) hollow cylinder under thermal asymmetric load (r, θ)

“…Aouadi [57] presented the eigenvalue approach to analyze a two‐dimensional generalized thermoelastic. Xiong and Tian [58] used the FEM method as a solution for the coupled thermoelastic problems and for a micropolar mixture of porous media during thermal shock.…”