On modelling of diffusion processes in periodically stratified elastic solids

被引：2
|
作者：
Matysiak, S [1 ]
Mieszkowski, R [1 ]
机构：
[1] Univ Warsaw, Inst Hydrogeol & Engn Geol, PL-02089 Warsaw, Poland
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2001年 / 39卷 / 05期
关键词：
diffusion; elasticity; microperiodic layered body; homogenization procedure;
D O I：
10.1016/S0020-7225(00)00050-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper deals with problems of modelling of diffusion processes in microperiodic two-layered elastic solids. By using the homogenization procedure with microlocal parameters and relations of the linear-coupled theory of diffusion in elastic homogeneous bodies a homogenized model accounting certain local effects of stresses, diffusion fluxes is derived. As an example illustrating the application of the presented model the stationary problem of diffusion in a microperiodic stratified elastic layer is considered. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：491 / 501
页数：11
相关论文
共 50 条
  • [1] A macroscopic model of the diffusion and heat transfer processes in a periodically micro-stratified solid layer
    Wozniak, M
    Wierzbicki, E
    Wozniak, C
    ACTA MECHANICA, 2002, 157 (1-4) : 175 - 185
  • [2] A macroscopic model of the diffusion and heat transfer processes in a periodically micro-stratified solid layer
    M. Woźniak
    E. Wierzbicki
    Cz. Woźniak
    Acta Mechanica, 2002, 157 : 175 - 185
  • [3] Crack normal to layered elastic periodically stratified space
    Matysiak, S. J.
    Perkowski, D. M.
    THEORETICAL AND APPLIED FRACTURE MECHANICS, 2008, 50 (03) : 220 - 225
  • [4] The modelling of bulk diffusion in solids
    Vocadlo, L
    Price, GD
    MICROSCOPIC PROPERTIES AND PROCESSES IN MINERALS, 1999, 543 : 323 - 336
  • [5] On stability and instability of stratified elastic solids in a gravity field
    Ryzhak, E. I.
    Sinyukhina, S. V.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2022, 142
  • [6] Elastic waves at periodically-structured surfaces and interfaces of solids
    Every, A. G.
    Maznev, A. A.
    AIP ADVANCES, 2014, 4 (12):
  • [7] Drift and diffusion in periodically driven renewal processes
    Prager, T
    Schimansky-Geier, L
    JOURNAL OF STATISTICAL PHYSICS, 2006, 123 (02) : 391 - 413
  • [8] Effective Willis constitutive equations for periodically stratified anisotropic elastic media
    Shuvalov, A. L.
    Kutsenko, A. A.
    Norris, A. N.
    Poncelet, O.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2011, 467 (2130): : 1749 - 1769
  • [9] Drift and Diffusion in Periodically Driven Renewal Processes
    T. Prager
    L. Schimansky-Geier
    Journal of Statistical Physics, 2006, 123 : 391 - 413
  • [10] Elastic strings in solids: Discrete kink diffusion
    Cattuto, C
    Costantini, C
    Guidi, T
    Marchesoni, F
    PHYSICAL REVIEW B, 2001, 63 (09):
12345