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Title:

High order anisotropic finite elements for three-dimensional isotropic hyperelastic continua

Author(s):
Duester, A.; Hartmann, S.
Abstract:
In this presentation we apply the p-version finite element method to three-dimensional hyperelastic bodies. On the basis of a pure displacement formulation we take hyperelastic constitutive equations for near incompressibility into account. In order to discretize efficiently three-dimensional continua, an anisotropic element formulation of high order is applied, yielding locking-free approximations for thick as well as thin-walled solids at finite strains. A numerical example demonstrates the ba...     »
Keywords:
p-version finite element method; anisotropic elements; hyperelasticity; finite strains
Book / Congress title:
Proceedings of the Second M.I.T. Conference on Computational Fluid and Solid Mechanics
Publisher address:
Cambridge, USA
Year:
2003
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