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Elastic ellipsoidal heat-conducting inclusion in a body under the action of a heat flux applied at infinity

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We find the exact analytic solution of the system of four singular integrodifferential equations obtained as a result of reduction of the three-dimensional thermoelastic problem for a body containing a heatconducting elastic ellipsoidal inclusion. It is assumed that the body is subjected to the action of a uniform heat flux applied at infinity in the direction perpendicular to the median plane of the inclusion. As a result, we deduce the relations for the stress concentration near the inclusion, the level of stresses inside the inclusion, and the corresponding stress intensity factors K II and K III. The influence of the configuration of the inclusion on the stress concentration and intensity is analyzed for some special cases of the problem.

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Authors and Affiliations

  1. Ukrainian National Forestry Engineering University, Lviv, Ukraine

    M. M. Stadnyk

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  1. M. M. Stadnyk
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Correspondence to M. M. Stadnyk.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 47, No. 3, pp.16–23, May–June, 2011.

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Stadnyk, M.M. Elastic ellipsoidal heat-conducting inclusion in a body under the action of a heat flux applied at infinity. Mater Sci 47, 284–293 (2011). https://doi.org/10.1007/s11003-011-9394-5

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  • DOI: https://doi.org/10.1007/s11003-011-9394-5

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