×

The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories. (English) Zbl 1121.74021

Summary: We study a model two-dimensional problem for micropolar thermoelastic medium in a half-space whose surface is free and subjected to an instantaneous thermal point source. The entire elastic medium rotates with a uniform angular velocity. The formulation is applied to five theories of generalized thermoelasticity: Lord-Shulman with one relaxation time, Green-Lindsay with two relaxation times, Green-Naghdi theory (of type II) without energy dissipation, and to Chandrasekharaiah-Tzou theory with dual-phase-lag as well as to the coupled theory. The normal mode analysis is used to obtain exact expressions for considered variables which are illustrated graphically. Finally, we compare the results predicted by the five theories in the presence and absence of rotation.

MSC:

74F05 Thermal effects in solid mechanics
74A35 Polar materials
74B99 Elastic materials
PDFBibTeX XMLCite
Full Text: DOI