Re-examination of the equations of poroelasticity
type: Item
instance of: scholarly article
title: Re-examination of the equations of poroelasticity
zbMATH Open document ID: 0917.73010
DOI: 10.1016/S0020-7225(96)00083-3
author: Cheo K. Lee
author: Chiang C. Mei
published in: International Journal of Engineering Science
publication date: 1999-08-11T00:00:00Z
review text: To study the mechanical behavior of poroelastic media, we apply the method of homogenization to derive effective equations on the macroscale, for a matrix with a periodic structure on the microscale. We allow the matrix displacement corresponding to the global strain to be comparable to the granular size, and show that the resulting effective equations are nonlinear in general. The constitutive coefficients of the nonlinear terms nevertheless vanish under two conditions: (i) when the global-scale deformation is also much smaller than the granular size, and (ii) when the global-scale deformation is comparable to the granular or pore size, but the microcell geometry is symmetric with respect to three orthogonal planes.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1162174
zbMATH Keywords: nonlinear effective equations
zbMATH Keywords: matrix with periodic structure
zbMATH Keywords: macroscale
zbMATH Keywords: microscale
zbMATH Keywords: granular size
zbMATH Keywords: global-scale deformation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1162174