High order anisotropic finite elements for three-dimensional isotropic hyperelastic continua A. D¨ uster , S. Hartmann Technische Universit¨ at M ¨ unchen, Fakult¨ at f¨ ur Bauingenieur- und Vermessungswesen, Lehrstuhl f¨ ur Bauinformatik, Arcisstr. 21, 80290 M¨ unchen, Germany Universit¨ at Kassel, Institut f¨ ur Mechanik, M¨ onchebergstr. 7, 34109 Kassel, Germany Abstract In this presentation we apply the -version finite element method to three-dimensional hyperelastic bodies. On the basis of a pure displacement formulation we take hyperelas- tic 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 basic properties of our nonlinear -version approach for hyperelastic problems. Keywords: -version finite element method; anisotropic elements; hyperelasticity; finite strains 1. Introduction Usually, the finite element method using low order shape functions is applied to finite 1