Two-dimensional nonstationary problem of elastic diffusion for an isotropic one-component layer

被引：16
|
作者：
Zemskov, A. V. [1 ]
Tarlakovskii, D. V. [2 ]
机构：
[1] Natl Res Univ, Moscow Aviat Inst, Moscow 125993, Russia
[2] Moscow MV Lomonosov State Univ, Inst Mech, Moscow 119192, Russia
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2015年 / 56卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
nonstationary elastic diffusion; isotropic layer; Laplace and Fourier transforms; Fourier series;
D O I：
10.1134/S0021894415060127
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
引用
收藏
页码：1023 / 1030
页数：8
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