Mixed Finite Element Formulation based on Different Approximations of the Minors of Deformation Tensors
Stress distribution in Cook-type problem
Associated people
J. Schröder, D. Balzani (TU Dresden), in cooperation with P. Wriggers (Leibniz University Hannover)
Abstract
Finite element formulations for arbitrary hyperelastic strain energy functions that are characterized by a locking-free behavior for incompressible materials, a good bending performance and accurate solutions for coarse meshes need still attention. Therefore, the main goal in this project is to provide an improved mixed finite element for quasi-incompressible finite elasticity. Based on the knowledge that the minors of the deformation gradient play a major role for the transformation of infinitesimal line-, area- and volume elements, as well as in the formulation of polyconvex strain energy functions a "double mixed" finite element with different interpolation orders of the terms related to the minors is developed. Due to the formulation it is possible to condensate the mixed element formulation at element level to a pure displacement form.
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