期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 43, 期 11-12, 页码 977-991出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2005.03.004
关键词
-
The theory of diffusive stresses based on the diffusion-wave equation with time-fractional derivative of fractional order a is formulated. The non-parabolic diffusion equation is a mathematical model of a wide range of important physical phenomena and can be obtained as a consequence of the non-local constitutive equation for the matter flux vector with the long-tale power time-non-local kernel. Because the considered equation in the case 1 <= alpha <= 2 interpolates the parabolic equation (alpha = 1) and the wave equation (alpha = 2), the proposed theory interpolates a classical theory of diffusive stresses and that without energy dissipation introduced by Green and Naghdi. The stresses caused by a source of diffusion in an unbounded solid are found in one-dimensional and axially symmetric cases (for plane deformation). Numerical results for the concentration and stress distributions are given and illustrated graphically. (c) 2005 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据