Fractional Order GN Model on Thermoelastic 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 fractional Green and Naghdi. theory of type II (fractional-type II) in which the model of heat conduction with time-fractional order. The inner surface of cavity is assumed to be stress free and is subjected to a thermal shock. The problem is solved numerically using the finite element method. According to numerical results and graphs, it is found that the introducing a fractional derivative of order a has a significant effect on the displacement, temperature and stresses. Some comparisons are made to estimate the effects of the presence and absence reinforcement.