Higher order stabilized finite element method for hyperelastic finite deformation

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 13-14, 2002, Pages 1491-1503

  Maniatty, Antoinette M ^a   Liu, Yong ^a   Klaas, Ottmar ^a   Shephard, Mark S ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Finite deformation; Hyperelasticity; Stabilized finite element method

Indexed keywords

LINEARIZATION; NONLINEAR EQUATIONS; STRESS ANALYSIS; TENSORS;

HYPERELASTIC FINITE DEFORMATION; LAGRANGIAN FINITE ELEMENTS;

FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD;

EID: 0037127125     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00335-8     Document Type: Article

References (8)

1. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations
2. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
3. A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element method
4. An absolutely stabilized finite element method for the stokes problem
5. A stabilized mixed finite element methods for finite elasticity
6. A better consistency for low-order stabilized finite element methods
7. An object-oriented framework for reliable numerical simulations