Two-Temperature Green and Naghdi Model on Thermoelastc Interaction in an Infinite Fibre-Reinforced Anisotropic Plate Containing a Circular Hole

摘要

The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a theory of generalized thermoelasticity in which the theory of heat conduction in deformable bodies depends on two different temperatures - conductive temperature and dynamic temperature. The two-temperature generalized thermoelastic model and one-temperature generalized thermoelastic model are formulated on the basis of Green and Naghdi theory of type II (2TGNII). The circular hole surface is assumed to be stress free and is subjected to a thermal shock. The problem is solved numerically using a finite element method. The effects of the presence and absence of reinforcement on the conductive temperature, the dynamical temperature, the stresses and the displacement distributions are studied. A comparison is made with the results predicted by the two theories. Results carried out in this paper can be used to design various fibre-reinforced anisotropic elements under thermal load to meet special engineering requirements.