Diffusion of a fluid through a spherical elastic solid undergoing large deformations
Diffusion of a fluid through a spherical elastic solid undergoing large deformations
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DOI：
10.1016/j.ijengsci.2008.07.001
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发表时间：
2009-01-01
影响因子：
6.6
通讯作者：
Soares, J. S.
中科院分区：
文献类型：
--
作者：
Soares, J. S.
本文描述了流体通过经历大变形的球形弹性固体的扩散。使用的本构模型是非线性弹性固体中流体扩散的单本构模型，最初由 Baek 和 Srinivasa [S.白，A.R.斯里尼瓦萨，国际。 J.非线性力学。 39 (2004) 201-218]并基于变分法和跨固-液界面化学势连续性的假设。具有质量扩散的单一连续体的平衡定律被铸造在球坐标中，并提出合适的边界条件来描述流体通过有限厚度的弹性球壳的径向扩散。其内表面邻近刚性壁，不可渗透或可渗透，而外表面与使固体膨胀、扩散通过固体的流体接触，并在其表面上施加静水压力。 (C) 2008 Elsevier Ltd. 保留所有权利。
The diffusion of a fluid through a spherical elastic solid undergoing large deformation is described in this paper. The constitutive model used is the single-constituent model for diffusion of fluids in nonlinear elastic solids, originally presented by Baek and Srinivasa [S. Baek, A.R. Srinivasa, Int. J. Nonlinear Mech. 39 (2004) 201-218] and based on a variational method and on the assumption of continuity of chemical potential across the solid-fluid interface. The balance laws for a single continuum with mass diffusion are cast in spherical coordinates, and suitable boundary conditions are posed to describe the radial diffusion of fluid through an elastic spherical shell with finite thickness. Its inner surface is adjacent to a rigid wall, either impermeable or permeable, while the outside surface is in contact with the fluid that swells the solid, diffuses through it, and exerts a hydrostatic pressure on its surface. (C) 2008 Elsevier Ltd. All rights reserved.