Linear and non-linear finite element error estimation based on assumed strain fields

In this work we analyse the use of enhanced strain elds for the purpose of error estimation in nite element solid mechanics applications. The proposed approach evaluates the quality of the solution for standard Galerkin displacement elements, taking into account the enrichment of the solution with enhanced assumed strain mixed elements. The contribution of the enhanced strain modes is measured with an energy norm. The method proposed has two interesting advantages. Firstly, it results in a local formulation which is evaluated element by element. Secondly, it is easily extended to non-linear problems. In this work, the formulation is developed for linear elasticity, for nite strain elasticity, and von Mises small strain plasticity. Finally, some representative numerical simulations are presented which show in practice the performance of the method