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Transformations and Enhancement Approaches for the Large Deformation EAS Method
Author(s) -
Pfefferkorn Robin,
Betsch Peter
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900135
Subject(s) - finite element method , finite strain theory , deformation (meteorology) , invariant (physics) , computer science , bending , computational science , algorithm , mathematics , structural engineering , materials science , engineering , composite material , mathematical physics
The computer simulation of large deformation solid mechanics requires highly efficient finite elements. One widely used method enabling the construction of such elements is the enhanced assumed strain (EAS) method (cf. [1]). Within that framework, many transformations for the enhanced as well as the compatible deformation gradient have been used in previous publications (see e.g. [2]). We propose a new frame‐invariant alternative which fulfills the patch test and exhibits superior bending performance. Finally, novel mixed finite element methods based on the combination of mixed finite elements for polyconvexity [3] with the EAS method are presented. It is shown that this combination provides a promising framework for novel finite element methods.