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
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
[1]  
[Anonymous], 2000, THEORY POROUS MEDIA, DOI DOI 10.1007/978-3-642-59637-7
[2]   THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1955, 26 (02) :182-185
[3]   General theory of three-dimensional consolidation [J].
Biot, MA .
JOURNAL OF APPLIED PHYSICS, 1941, 12 (02) :155-164
[4]  
Coussy O., 1995, Mechanics of Porous Continua
[5]   Bone poroelasticity [J].
Cowin, SC .
JOURNAL OF BIOMECHANICS, 1999, 32 (03) :217-238
[6]   WOLFFS LAW OF TRABECULAR ARCHITECTURE AT REMODELING EQUILIBRIUM [J].
COWIN, SC .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1986, 108 (01) :83-88
[7]   THE RELATIONSHIP BETWEEN THE ELASTICITY TENSOR AND THE FABRIC TENSOR [J].
COWIN, SC .
MECHANICS OF MATERIALS, 1985, 4 (02) :137-147
[8]   A recasting of anisotropic poroelasticity in matrices of tensor components [J].
Cowin, SC .
TRANSPORT IN POROUS MEDIA, 2003, 50 (1-2) :35-56
[9]  
Cowin SC, 1978, CONTINUUM MECH STAT
[10]  
Darcy H., 1856, FONTAINES PUBLIQUES