Media type: E-Article Title: Comparison of different least‐squares mixed finite element formulations for hyperelasticity Contributor: Schwarz, Alexander; Steeger, Karl; Igelbüscher, Maximilian; Schröder, Jörg imprint: Wiley, 2016 Published in: PAMM Language: English DOI: 10.1002/pamm.201610108 ISSN: 1617-7061 Keywords: General Medicine Origination: Footnote: Description: <jats:title>Abstract</jats:title><jats:p>The main goal of this contribution is the solution of geometrically nonlinear problems using the mixed least‐squares finite element method (LSFEM). An investigation of a hyperelastic material law based on logarithmic deformation measures is performed. The basis for the proposed LSFEM is a div‐grad first‐order system consisting of the equilibrium condition and the constitutive equation, see e.g. Cai and Starke [1]. For the interpolation of the solution variables vector‐valued Raviart‐Thomas functions for the approximation of the stresses and standard Lagrange polynomials for the displacements are used. In order to show the performance of the presented formulations a numerical example is investigated, where we compare the different interpolation combinations used. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)</jats:p> Access State: Open Access