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Thermally stressed state of an ellipsoidal inhomogeneity (inclusion) in the case of polynomial external force and temperature fields
Authors:V S Kirilyuk
Abstract:The stress structure inside an ellipsoidal inhomogeneity (inclusion) is studied for polynomial force and temperature interactions of arbitrary order in an elastic isotropic medium. It is shown that with perfect mechanical and thermal contact between the phases, the stressed state within the inhomogeneity is also a polynomial in the cartesian coordinates whose order equals the maximum order of the polynomials for the external force and temperature fields. Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 30, pp. 67–76, 1999.
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