A generalized Newton method is proposed in conjunction with a higher-order Lagrangian finite element discretization of bodies undergoing finite elastic deformations. The method is based on a gradient-like modification of the Newton method, designed to suppress the sensitivity of higher-order element
A mixed finite element method for non-linear and nearly incompressible elasticity based on biorthogonal systems
β Scribed by Bishnu P. Lamichhane
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 224 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2594
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π SIMILAR VOLUMES
In a previous paper a modified Hu-Washizu variational formulation has been used to derive an accurate four node plane strain/stress finite element denoted QE2. For the mixed element QE2 two enhanced strain terms are used and the assumed stresses satisfy the equilibrium equations a priori for the lin
The full adaptive multigrid method is based on the tri-tree grid generator. The solution of the Navier-Stokes equations is first found for a low Reynolds number. The velocity boundary conditions are then increased and the grid is adapted to the scaled solution. The scaled solution is then used as a