We determine the thermal stressed state of a heat-sensitive radially inhomogeneous hollow sphere for given constant loads acting on its surfaces and a known temperature field inside the sphere. The corresponding problem of thermoelasticity in stresses is reduced to the solution of the Fredholm integral equation of the second kind for the radial component of the stress tensor. The influence of temperature dependences of the characteristics of radially inhomogeneous material on the stresses and displacements is investigated.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 58, No. 2, pp. 109–117, April–June, 2015.
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Artemyuk, V.Y., Kalynyak, B.M. Integral Equation for the Radial Stresses in a Radially Inhomogeneous Heat-Sensitive Hollow Sphere . J Math Sci 223, 132–144 (2017). https://doi.org/10.1007/s10958-017-3343-2
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DOI: https://doi.org/10.1007/s10958-017-3343-2