A Study of Generalized Thermoelastic Interaction in an Infinite Fibre-Reinforced Anisotropic Plate Containing a Circular Hole
Ibrahim A. Abbasa,b and Abo-el-nour N. Abd-allaa,b
aDepartment of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
bDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi Arabia
Received: May 7, 2010; in final form November 23, 2010
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In the context of Lord and Shulman theory, the generalized thermoelastic theory with thermal relaxation is used to investigate the thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole. Thermoelastic interactions are caused by a uniform: step at temperature applied to the boundary of the hole which is stress-free. The problem is solved numerically using a finite element method and the numerical solutions of the non-dimensional governing partial differential equations of the problem are shown graphically. The effects of the presence and absence reinforcement on temperature, stress and displacement are studied.
DOI: 10.12693/APhysPolA.119.814
PACS numbers: 46.25.Hf, 81.05.Ni, 02.70.Dh