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1 Journal of Theoretical and Applied Mechanics

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Thermoelastic strain and stress fields due to a spherical inclusion in an elastic half-space

Singh K., Muwal R.

Journal of Theoretical and Applied Mechanics

2017

Vol. 55 nr 4

1369--1380

In this paper, closed form analytical expressions for thermoelastic strain and stress components 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 spherical 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.