Anisotropic poroelasticity: fabric tensor formulation

被引：55
作者：
Cowin, SC
机构：
[1] CUNY, Ctr Biomed Engn, Sch Engn, New York, NY 10031 USA
[2] CUNY, Dept Engn Mech, Sch Engn, New York, NY 10031 USA
[3] CUNY, Grad Sch, New York, NY 10031 USA
来源：
MECHANICS OF MATERIALS | 2004年 / 36卷 / 08期
关键词：
poroelasticity; anisotropy; fabric; drained; undrained; elastic constants;
D O I：
10.1016/j.mechmat.2003.05.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A representation of anisotropic poroelasticity is derived in which the drained and undrained elastic compliance constants, as well as the permeability tensor, are expressed as functions of the fabric tensor. The fabric tensor employed is a quantitative stereological measure of the anisotropy of the structure of the pores in the porous medium. It is shown that the undrained elastic constants may be expressed as functions of the fabric tensor, the drained elastic constants, the porosity, the bulk moduli of the fluid and the matrix material. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：665 / 677
页数：13
相关论文
共 42 条
[11]  
De Boer R., 1996, Appl. Mech. Rev., V49, P201, DOI [10.1115/1.3101926, DOI 10.1115/1.3101926]
[12]  
Detournay E., 1993, COMPREHENSIVE ROCK E, P113, DOI [DOI 10.1016/B978-0-08-040615-2.50011-3, 10.1016/B978-0-08-040615-2.50011-3, 10.1016/b978-0-08-040615-2.50011-3]
[13]  
Ericksen J., 1960, Handbuch der Physik, VVolume III/1, P794
[14]   CHARACTERIZATION OF MICROSTRUCTURAL ANISOTROPY IN ORTHOTROPIC MATERIALS USING A 2ND RANK TENSOR [J].
HARRIGAN, TP ;
MANN, RW .
JOURNAL OF MATERIALS SCIENCE, 1984, 19 (03) :761-767
[15]  
Hearmon R.F.S., 1961, An Introduction to Applied Anisotropic Elasticity
[16]   THE ELASTIC BEHAVIOUR OF A CRYSTALLINE AGGREGATE [J].
HILL, R .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1952, 65 (389) :349-355
[17]  
Hilliard J.E., 1967, STEREOLOGY, P219
[18]   Solids with cracks and non-spherical pores: proper parameters of defect density and effective elastic properties [J].
Kachanov, M .
INTERNATIONAL JOURNAL OF FRACTURE, 1999, 97 (1-4) :1-32
[19]  
Kanatani K., 1983, J JPN SOIL MECH FDN, V23, P171
[20]   STEREOLOGICAL DETERMINATION OF STRUCTURAL ANISOTROPY [J].
KANATANI, KI .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1984, 22 (05) :531-546
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