Analysis of Spherical Symmetric Problems in Thermoelastically Coupled Field

概要

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The present paper deals with quasi-static coupled thermoelastic problems for an infinite medium with a spherical cavity and for a solid sphere, and the effect of thermoelastic coupling on variations of temperature and thermal stresses is examined in detail. From results obtained by numerical calculation the difference between the uncoupled and coupled solutions for a solid sphere is recognized to be larger than that for an infinite medium with a spherical cavity. Particulary, with regard to a solid sphere the following fact is obtained. Even for usual industrial materials, e.g. aluminum alloy, the difference between the values of the uncoupled and coupled stresses amounts to about 10 per cent in some portions of the sphere at a certain time. Maximum values of the coupled thermal stresses become larger than those of the uncoupled ones and the former increases with a larger coupling coefficient and a smaller Poisson's ratio. Moreover, under consideration of the thermoelastic coupling effect, it can be explained that an adiabatic change of volume and a variation of temperature occur even in the region where heat flow from the boundary has not reached.
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