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A New C0‐Continuous FE‐Formulation for Finite Gradient Elasticity
Author(s) -
Riesselmann Johannes,
Ketteler Jonas,
Schedensack Mira,
Balzani Daniel
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900341
Subject(s) - finite element method , elasticity (physics) , discretization , displacement field , displacement (psychology) , mathematics , finite strain theory , mathematical analysis , mathematical optimization , physics , thermodynamics , psychology , psychotherapist
Three field mixed C 0 ‐continuous gradient elasticity finite element formulations contain both displacement and displacement gradients as solution variables. In this contribution a new formulation is proposed, in which the displacements are not part of the problem anymore, but only displacement gradients, leading to a reduced number of variables to be discretized. In numerical examples the proposed formulations are compared to finite strain adaptations of existing mixed three field approaches for small strains and unveil favorable computing time. For the 3D case a further reduction of variables through a penalty formulation is investigated.