Abstract
This paper describes a stochastic analysis in the one-dimensional uncoupled linear thermoelasticity. The autocorrelation functions of transient temperature and thermal stresses are analytically obtained in seven simple geometries: infinite plate, infinite strip, hollow sphere, infinite body with a spherical cavity, infinite hollow cylinder, annular disk and infinite body with a cylindrical hole, which have a random initial temperature distribution. Numerical calculations are performed for some geometries under the condition that the randomness in the initial temperature is given as a homogeneous white noise. The transient behavior of the mean square temperature and thermal stresses is illustrated and it is observed in objects confined to a finite region that whereas the maximum value of the mean square thermal stresses occurs within the objects shortly after the heat flow begins, it appears at a lateral surface after a length of time has elapsed.
Published Version
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