An extension of assumed stress finite elements to a general hyperelastic framework

Nils Viebahn, Jörg Schröder, Peter Wriggers
2019 Advanced Modeling and Simulation in Engineering Sciences  
Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger-Reissner type for hyperelasticity. A family of hexahedral shaped elements is considered with a classical trilinear interpolation of the displacements and different piecewise discontinuous interpolation schemes for the stresses. The performance and stability of the new elements are investigated
more » ... demonstrated by the analysis of several benchmark problems. In addition the results are compared to well known enhanced assumed strain elements.
doi:10.1186/s40323-019-0133-z fatcat:y557osxmyrepjjwkzljbtjqe7u