Abstract
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.