Variationally derived 3-field lagrange multiplier and augmented lagrangian poroelastic finite elements for soft tissues

American Society of Mechanical Engineers, Bioengineering Division (Publication) BED

Volumn 33, Issue , 1996, Pages 145-146

  Levenston, Marc E ^a   Frank, Eliot H ^a   Grodzinsky, Alan J ^a  

^a Massachusetts Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ELASTICITY; FINITE ELEMENT METHOD; FUNCTIONS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; POROSITY; VARIATIONAL TECHNIQUES;

LAGRANGIAN PENALTY NUMBER; NEWTON-RAPHSON ITERATION; PRINCIPLE OF VIRTUAL POWERS; SOFT TISSUE;

TISSUE;

EID: 0030393253     PISSN: 10716947     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (6)

1. Gajo, A., Saetta, A., and Vitaliani, R., 1994, "Evaluation of three-and two-field finite element methods for the dynamic response of saturated soil", Int J Num Meth Eng, 37, 1231-1247.
2. Holmes, M. and Mow, V., 1990, "The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration.", J Biomech, 23, 1145-56.
3. Simon, B. R., 1992, "Multiphase poroelastic finite element models for soft tissue structures", Appl Mech Rev, 56, 191-218.
4. Spilker, R. L. and de Almeida, E. S., 1992, "A mixed-penalty finite element formulation for the finite deformation of a biphasic continuum with hyperelastic solid phase", in Computational Mechanics of Porous Materials and Their Thermal Decomposition, vol. AMD-136, pp. 43-53.
5. Suh, J. K., Spilker, R. L., and Holmes, M. H., 1991, "A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation", Int J Num Meth Eng, 32, 1411-1439.
6. Wayne, J. S., Woo, S. L.-Y., and Kwan, M. K., 1991, "Application of the u-p finite element method to the study of articular cartilage", ASME J Biomech Eng, 113, 397-403.