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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 5
A New Interpolation Method for Finite Element Analysis Using a Remeshing Technique A. El Hraiech1, H. Borouchaki1, P. Villon2 and L. Moreau1
1Université de Technologie de Troyes, GSM-LASMIS, France
Full Bibliographic Reference for this paper
A. El Hraiech, H. Borouchaki, P. Villon, L. Moreau, "A New Interpolation Method for Finite Element Analysis Using a Remeshing Technique", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 5, 2006. doi:10.4203/ccp.84.5
Keywords: remeshing, finite element, field data remapping, optimization.
Summary
The present paper introduces a new remapping technique for the mechanical field when
remeshing occurs during a finite element analysis of complex metal forming processes
such as stamping or forging where the mesh element distortion occurs frequently. A remapping
technique consists in transferring required mechanical fields associated with the old
distorted mesh to the new mesh in order to restore the material state on the new mesh
and continue the finite element analysis using the latter. In the first section of the paper, we
present different remapping techniques that were developed during the last decades.
The common objective of these techniques was to generate a field associated with the
new mesh that fits well to the old field and satisfies mechanical equations verified by
the old one without introducing excessive numerical diffusion. We can cite from these
techniques, the variational technique [1], the SPR technique [2,3,4], the inverse
isoparametric mapping technique [5,6] and the constrained or unconstrained
optimization techniques that aims to minimize the gap between the mechanical field
associated with the new mesh and that associated with the old one in a sense of a
certain mathematical norm.
In the second section, we describe briefly the theoretical aspects of our remapping
technique. The latter is an optimization based algorithm to minimize the norm of the
committed finite element error between the mechanical field associated with the old
mesh and that associated with the new one. The method distinguishes between the
domain and its boundary in the minimization process and takes into account the field
associated with them separately. This aims to more accurately determine the new
field at the domain and its boundary and so well preserve the different mechanical
properties verified by the old one. In recent works [7,8], the
In the third section, we try to show the efficiency of the proposed transfer procedure
through a numerical analysis of a tensile test using the remeshing technique. The
simulation is based on an iterative process and the final deformation is obtained by a
number of small increments of deformation. The material behavior is described by an
elasto-plastic model coupled with the ductile damage [9]. At each iteration, a new mesh
of the domain is defined and a set of nineteen internal variables (the stress components, the
isotropic and kinematic hardening component and the ductile damage) is remapped.
The displacement-force curves given by the different analysis performed using the
different varieties of the remapping technique have shown that the minimization of the
References
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