Stress components for thermoelastic infinite plate with a curvilinear hole by using complex variables method.

Abstract

Different methods are established to solve the mixed problem in the theory of elasticity and thermoelasticity. Thermoelasticity represents a generalization of the theory of elasticity, so the equations characterizing the particular material and temperature dependence include an additional relation connecting the heat flux in the body with local temperature gradient.


In this paper we shall use the Cauchy Complex Variables method to solve the integro-differential equation to obtain the components of stress, in the presence of uniform flow of heat in negative direction of y-axis for an infinite plate with a curvilinear hole.


KEY WORDS: Theory of thermoelasticity, stress components, infinite plate, curvilinear hole, complex variable method .


Global Journal of Mathematical Sciences Vol.3(2) 2004: 143-148