Adaptative control of the error in the Von Mises stress in 2D elasticity

In current industrial situations, it is necessary to have reliable evaluations of local quantities such as Von Mises stress. These quantities are evaluated using F.E. code. Even if the mechanical model chosen is adequate, the mesh used in F.E. analysis introduces errors on the quantities being computed. For the engineer, it is essential to study and, if possible, to improve the quality of the computations carried out. In this work, we focus on the quality of a 2D elastic finite element analysis. Our objective is to control the discretization parameters in order to achieve a prescribed local quality level over a dimensioning zone. The method is illustrated through 2D test examples.