Contribution à la mise en oeuvre d'estimateurs d'erreur pour les problèmes de contact dans un logiciel industriel.

摘要

In the field of mechanical engineering, numerical simulation has become an indispensable tool to predict the response of a structure to mechanical load.The simulation allows to reduce conception costs using numerical models instead of costly prototypes.Engineers use increasingly complex structures; it is now common to treat structures composed of several deformable components interacting. The studies carried out in this work are based on the equations of continuum mechanics with contact.However, these numerical simulations involve a discretized version of a continuous mathematical model (finite element analysis). Therefore, they lead only to an approximation of the exact solution of the reference problem.In an industrial context, the results of a finite element calculation must satisfy certain quality requirements. The purpose of an error estimation is to evaluate the distance between the exact solution and an approximate solution of the problem.Methods for evaluating the global error due to the problem's discretization have been studied for several years. However the use of error estimation tools is still not widespread in industry (availability in industrial softwares , reliability, calculation costs, difficulty of use ...)The objective of this work is to propose a parallelized estimation method based on the concept of constitutive relation error, adapted to industrial constraints. Furthermore, to make it quickly available for design office, the choice was made to develop the method directly in the industrial software SAMCEF during the ANR project ROMMA.