The use of the mechanical simulation (in particular the finite element analysis) requires the management of assumptions in order to analyse a real complex system. In finite element analysis (FEA), two modeling steps require assumptions to be able to carry out the computations and to obtain some results: the building of the physical model and the building of the simulation model. The simplification assumptions made on the analysed system in these two steps can generate two kinds of errors: the physical modeling errors (mathematical model, domain simplifications, materials properties, boundary conditions and loads) and the mesh discretization errors. This paper proposes a mesh adaptive method based on the use of an h-adaptive scheme in combination with an error estimator in order to choose the mesh of the simulation model. This method allows us to choose the mesh of the simulation model in order to control the cost and the quality of the finite element analysis. Keywords—Finite Element, Discretization Errors, Adaptivity.
[1]
J.-P. Pelle,et al.
Error estimator and adaptivity for three-dimensional finite element analyses
,
1998
.
[2]
J. Oden,et al.
A Posteriori Error Estimation in Finite Element Analysis
,
2000
.
[3]
I. Babuska,et al.
The finite element method and its reliability
,
2001
.
[4]
Pierre Ladevèze,et al.
New advances on a posteriori error on constitutive relation in f.e. analysis
,
1997
.
[5]
Sebastien Le Loch,et al.
Validation and updating of industrial models based on the constitutive relation error
,
2004
.
[6]
Paul-Louis George,et al.
An efficient algorithm for 3D adaptive meshing
,
2001
.
[7]
Pierre Ladevèze,et al.
ERROR ESTIMATION AND MESH OPTIMIZATION FOR CLASSICAL FINITE ELEMENTS
,
1991
.