Consolidation theory derived without invoking porosity

International Journal of Solids and Structures

Volumn 35, Issue 1-2, 1998, Pages 69-81

  Mccutchen, C W ^a  

^a NATIONAL INSTITUTE OF DIABETES AND DIGESTIVE AND KIDNEY DISEASES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; POROSITY;

CONSOLIDATION THEORY; DIFFUSION EQUATIONS;

STRUCTURAL ANALYSIS;

CONSOLIDATION; POROSITY; POROUS MEDIUM;

CONSOLIDATION; DIFFUSION EQUATION; POROSITY; SOIL MECHANICS;

EID: 0031882138     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00056-5     Document Type: Article

References (12)

1. Biot, M. A. (1941) General theory of three-dimensional consolidation. Journal of Applied Physics 12, 155-164.
2. Biot, M. A. (1955) Theory of elasticity and consolidation for a porous anisotropic solid. Journal of Applied Physics 26, 182-185.
3. Biot, M. A. and Willis, D. G. (1957) The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics, Trans. ASME 79, 594-601.
4. Gellert, W., Küstner, H., Hellwich, M. and Kästner, H. (1977) The VNR Concise Encyclopedia of Mathematics. Van Nostrand Rheinhold, New York, p. 422.
5. Harrigan, T. P. and Mann, R. W. (1987) State variables for modeling of physical aspects of articular cartilage. Journal of Biomechanics 23, 1205-1218.
6. Kenyon, D. E. (1976) The theory of an incompressible solid-fluid mixture. Archive for Rational Mechanics and Analysis 62, 131-147.
7. Love, A. E. H. (1944) A Treatise on The Mathematical Theory of Elasticity. Dover, New York.
8. Mansour, J. and Mow, V. C. (1977) On the lubrication of synovial joints: Normal and degenerate. Journal of Lubrication Technology 99, 163-173.
9. McCutchen, C. W. (1962) The frictional properties of animal joints. Wear 5, 1-17.
10. Mow, V. C. and Lai, W. M. (1980) Recent development in synovial joint biomechanics. SIAM Review 22, 275-317.
11. Mow, V. C., Kuei, S. C., Lai, W. M. and Armstrong, C. G. (1980) Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments. Journal of Biomechanical Engineering 102, 73-84.
12. Simon, B. R. (1992) Multiphase poroelastic finite element models for soft tissue structures. Applied Mechanics Review 45, 191-218.