ARTICLE
Thermoelastic strain and stress fields due to a spherical inclusion in an elastic half-space
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Guru Jambheshwar University of Science and Technology, Department of Mathematics, Hisar, Haryana
Submission date: 2016-12-13
Acceptance date: 2017-06-24
Online publication date: 2017-10-15
Publication date: 2017-10-15
Journal of Theoretical and Applied Mechanics 2017;55(4):1369-1380
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ABSTRACT
In this paper, closed form analytical expressions for thermoelastic strain and stress compo-
nents due to a spherical inclusion in an elastic half-space are obtained. These expressions
are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic
displacement potential functions. The thermal strain and stress fields are generated due
to differences in the coefficients of linear thermal expansion between a subregion and the
surrounding material. The strain and stress components for exterior points of the spheri-
cal inclusion are same as those of the center of dilatation. Variations of strain and stress
components for exterior and interior points of the spherical inclusion are shown graphically.