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                <term xml:lang="en">Patient-specific modeling</term>
                <term xml:lang="en">Finite element method - FEM</term>
                <term xml:lang="en">Stress-free configuration</term>
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              <p>Medical imaging allows to bio-mechanician to obtain in vivo geometrical data, useful for patient-specific organic tissues mechanical modeling. However, geometrical data coming from medical imaging describe a strained state of anatomical structure under anatomical loading (such as weight, pressure, arterial tension etc). The non-linear mechanical behavior of the soft tissues constituting those structures prevents to easily find their unloaded geometry.One who wants to study intravascular device positioning through mechanical computation would need a method to determine the unloaded state of an anatomical structure, assuming its mechanical behavior and its boundary conditions.Numerical methods exist to find the unloaded geometry of a given loaded one, supposing the boundary conditions. Along those methods, some need from the user to write the variational formulation thus to have a control on the used solver [1]. Other methods can use enough of a structural solver as a black box [2], [3]. Most of those methods use volumic finite element modelling. Our work targets on applying such methods to shell and beam element and present limitations.[1] S. Govindjee, P. A. Mihalic, Computer Methods in Applied Mechanics and Engineering, 136:47-57, 1996.[2] M. L. Raghavan et al, Annals of Biomedical Engineering, 34:1414-1419, 2006.[3] J. Bols et al, ESAIM: M2AN, 47 :1056-1075, 2013.</p>
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              <p>L'imagerie médicale permet au biomécanicien d'obtenir des données géométriques in vivo, utiles pour la modélisation mécanique des tissus organiques patient-spécifique. Cependant, les données géométriques provenant de l'imagerie médicale décrivent un état de contrainte de la structure anatomique sous une charge anatomique (telle que le poids, la pression, la tension artérielle, etc.) Le comportement mécanique non linéaire des tissus mous constituant ces structures empêche de retrouver trivialement leur géométrie à vide.Pour étudier le positionnement des dispositifs intravasculaires à l'aide de la mécanique numérique, il faut déterminer l'état non chargé d'une structure anatomique, en supposant connus son comportement mécanique et ses conditions aux limites.Il existe des méthodes numériques pour trouver la géométrie déchargée d'une géométrie chargée donnée, en supposant les conditions aux limites. Certaines de ces méthodes nécessitent que l'utilisateur écrive la formulation variationnelle, ce qui lui permet de contrôler le solveur utilisé [1]. D'autres méthodes peuvent utiliser un solveur structurel en boîte noire [2], [3]. La plupart de ces méthodes utilisent un modélisation éléments finis volumiques. Notre travail se concentre sur l'application de ces méthodes aux éléments coques et poutres et en dresse des limitations.[1] S. Govindjee, P. A. Mihalic, Computer Methods in Applied Mechanics and Engineering, 136:47-57, 1996.[2] M. L. Raghavan et al, Annals of Biomedical Engineering, 34:1414-1419, 2006.[3] J. Bols et al, ESAIM: M2AN, 47 :1056-1075, 2013.</p>
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