Alternate hybrid, mixed, and penalty finite element formulations for the biphasic model of soft hydrated tissues

Spilker, R. L.; Suh, J-K.; Vermilyea, M. E.; Maxian, T. A.

Affiliations

¹Department of Mechanical Engineering, Aeronautical Engineering, and Mechanics, Rensselaer Ploy technic Institute, Troy, New York 12180-3590, U.S.A.

Links

DOI: 10.1007/978-1-4612-3448-7_15

Cited Works (15)

Year	Entry
1989	Suh J-K. A Finite Element Formulation for Nonlinear Behavior of Biphasic Hydrated Soft Tissues Under Finite Deformation [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; September 1989.
1986	Holmes MH. Finite deformation of soft tissue: analysis of a mixture model in uni-axial compression. J Biomech Eng. November 1986;108(4):372-381.
1985	Holmes MH, Lai WM, Mow VC. Singular perturbation analysis of the nonlinear, flow-dependent compressive stress relaxation behavior of articular cartilage. J Biomech Eng. August 1985;107(3):206-218.
1980	Mow VC, Kuei SC, Lai WM, Armstrong CG. Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng. February 1980;102(1):73-84.
1987	Mak AF, Lai WM, Mow VC. Biphasic indentation of articular cartilage, I: theoretical analysis. J Biomech. 1987;20(7):703-714.
1962	Biot MA. Mechanics of deformation and acoustic propagation in porous media. J Appl Phys. April 1962;33(4):1482-1498.
1980	Lai WM, Mow VC. Drag-induced compression of articular cartilage during a permeation experiment. Biorheology. 1980;17(1-2):111-123.
1985	Kwan MK-W. A Finite Deformation Theory for Nonlinearly Permeable Cartilage and Other Soft Hydrated Connective Tissues and Rheological Study of Cartilage Proteoglycans [PhD thesis]. Troy, NY: Rensselaer Polytechnic Institute; December 1985.
1984	Armstrong CG, Lai WM, Mow VC. An analysis of the unconfined compression of articular cartilage. J Biomech Eng. May 1984;106(2):165-173.
1981	Lai WM, Mow VC, Roth V. Effects of nonlinear strain-dependent permeability and rate of compression on the stress behavior of articular cartilage. J Biomech Eng. May 1981;103(2):61-66.
1989	Hou JS, Holmes MH, Lai WM, Mow VC. Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications. J Biomech Eng. February 1989;111(1):78-87.
1985	Simon BR, Wu JSS, Carlton MW, Evans JH, Kazarian LE. Structural models for human spinal motion segments based on a poroelastic view of the intervertebral disk. J Biomech Eng. November 1985;107(4):327-335.
1990	Spilker RL, Suh J-K, Mow VC. Effects of friction on the unconfined compressive response of articular cartilage: a finite element analysis. J Biomech Eng. May 1990;112(2):138-146.
1984	Mow VC, Holmes MH, Lai WM. Fluid transport and mechanical properties of articular cartilage: a review. J Biomech. 1984;17(5):377-394.
1987	Oomens CWJ, van Campen DH, Grootenboer HJ. A mixture approach to the mechanics of skin. J Biomech. 1987;20(9):877-885.

Cited By (9)

Year	Entry
2001	Cowin SC. Bone poroelasticity. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:23-1–23-31.
1992	Simon BR. Multiphase poroelastic finite element models for soft tissue structures. Appl Mech Rev. June 1992;45(6):191-218.
1992	Hou JS, Mow VC, Lai WM, Holmes MH. An analysis of the squeeze-film lubrication mechanism for articular cartilage. J Biomech. March 1992;25(3):247-259.
1999	Cowin SC. Bone poroelasticity. J Biomech. March 1999;32(3):217-238.
2000	Gardner TN, Stoll T, Marks L, Mishra S, Knothe Tate M. The influence of mechanical stimulus on the pattern of tissue differentiation in a long bone fracture: an FEM study. J Biomech. April 2000;33(4):415-425.
1992	Spilker RL, Suh J-K, Mow VC. A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage. J Biomech Eng. May 1992;114(2):191-201.
1997	Stevens SS. Mechanical Regulation of Articular Cartilage Development, Maintenance and Degeneration [PhD thesis]. Stanford University; August 1997.
1997	Wren TAL. Structure-Function Relationships for Soft Skeletal Connective Tissues [PhD thesis]. Stanford University; June 1997.
1992	Van der Voet AF. Finite Element Modelling of Load Transfer Through Articular Cartilage [PhD thesis]. Calgary, AB: University of Calgary; August 1992.