TWO-DIMENSIONAL NONSTATIONARY PROBLEM OF ELASTIC DIFFUSION FOR AN ISOTROPIC ONE-COMPONENT LAYER
A. V. Zemskov1, D. V. Tarlakovskii2
1Moscow Aviation Institute, Moscow, 125993 Russia
azemskov1975@mail.ru
2Institute of Mechanics, Moscow, 119192 Russia
tdvhome@mail.ru
Keywords: нестационарная упругая диффузия, изотропный слой, преобразования Лапласа и Фурье, ряды Фурье, nonstationary elastic diffusion, isotropic layer, Laplace and Fourier transforms, Fourier series
Abstract
A locally equilibrium model of mechanodiffusion which comprises a coupled system of motion equations for an elastic body and a mass transfer equation is used to solve the two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer. The solution is constructed using Fourier series, Laplace time transforms, and Fourier transforms for the spatial coordinate. The Laplace transform originals are found analytically, and the Fourier transforms are inverted by quadrature formulas.
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