In this presentation we apply the p-version finite element method to three-dimensional hyperelastic bodies. On the basis of a pure displacement formulation we take hyperelastic 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 p-version approach for hyperelastic problems.     «

In this presentation we apply the p-version finite element method to three-dimensional hyperelastic bodies. On the basis of a pure displacement formulation we take hyperelastic 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 ba...     »