Abstract
In this work, we study the effect of a stochastic heating on an elastic solid in the form of an infinitely long circular cylinder under the existence of a permeating substance in contact with the outer surface. The stochastic heating is driven by an additive Gaussian white noise. Random elastic, thermal and diffusive properties are obtained in terms of the induced noise. The model is considered in the context of the generalized thermoelastic diffusion theory with one relaxation time. The Laplace transform technique is used to obtain the analytical solution in the transformed domain, while a numerical inversion method for Laplace transform is used to obtain an approximate solution for the temperature, displacement, stress, concentration of the diffusive material and chemical potential. Statistically, first and second moments of the physical properties are derived analytically and discussed.
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Allam, A.A., Ramadan, K.T. & Omar, M.A. A stochastic thermoelastic diffusion interaction in an infinitely long annular cylinder. Acta Mech 227, 1429–1443 (2016). https://doi.org/10.1007/s00707-016-1569-6
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DOI: https://doi.org/10.1007/s00707-016-1569-6