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                <title xml:lang="en">Implantation by an implicit approach of an elastoplastic behaviour law in the finite element cast3m code</title>
                <title xml:lang="fr">Intégration par une approche implicite d’une loi de comportement elastoplastique dans le code  de calcul par éléments finis Cast3M</title>
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                <term xml:lang="en">Mfront</term>
                <term xml:lang="en">Cast3M</term>
                <term xml:lang="en">finite elements</term>
                <term xml:lang="en">elastoplastic</term>
                <term xml:lang="en">Implantation of behaviour law</term>
                <term xml:lang="fr">Intégration loi de comportement</term>
                <term xml:lang="fr">éléments finis</term>
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              <p>This paper is dedicated to the implementation of a law of mechanical behavior in the finite element software Cast3M using an open source code generator named Mfront. To do so, an elastoplastic behaviour model has been chosen from existing laws in the literature.  Following an implicit discretization, a hardware library corresponding to the isotropic and kinematic strain-hardening model is generated using Mfront. The UMAT computer interface is used to build the library in Cast3M. A validation of the approach has been carried out by comparing the numerical results obtained with the generated hardware library and the equivalent pre-existing library in Cast3M.  Simulations in the case of a tensile bar and a perforated plate show almost identical results</p>
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              <p>Ce papier est dédié à l’implantation d’une loi de comportement mécanique dans le logiciel éléments finis Cast3M à l’aide d’un générateur de code open source nommé Mfront. Pour ce faire, un modèle de comportement élasto-plastique a été choisi à partir des lois existantes dans la littérature.  Suivant une discrétisation implicite, une bibliothèque matérielle correspondant au modèle de CHABOCHE à écrouissage isotrope et cinématique non linéaire est générée grâce à Mfront. L’interface informatique UMAT est utilisée pour construire la bibliothèque dans Cast3M. Une validation de l’approche a été menée en comparant les résultats numériques obtenus entre la bibliothèque matérielle générée et la bibliothèque équivalente préexistante dans Cast3M.  Les simulations dans le cas d’une barre en traction et une plaque trouée montrent des résultats quasi identiques</p>
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