modeling the influence of dynamic sollicitations on the growth and remodeling of the upper limb blood vessels.

Hand-Arm Vibration syndrome (HAVS) is usually caused by long-term use of hand-held power tools. It typically occurs after exposure to cold, causing an abnormally strong vasoconstriction of blood vessels. A model predicting the geometrical and structural changes of the arterial walls caused by vibration exposure is developed for the first time in this thesis. The medical context of HAVS is first recalled, especially the underlying pathological mechanisms. The constitutive models for the finger pulp and the growth of the vessel wall from the literature are used as a basis for the modeling of the arterial wall remodeling under exposure to vibration. The elastic and viscous parameters of the fingertip have been identified by adjusting the simulation results of a 2D model of fingertip cross-section to available experimental data. The last part of the thesis develops a first attempt to build the growth model of capillary induced by the tool vibration, considering multiscale spatial and temporal aspects. The two-scale spatial problem is solved by a multiscale method, the deformation field computed at the macro level defining the boundary condition next applied at the microscopic level. The two-scale time problem is solved by transferring the dynamic problem to quasi-static. The results obtained show that vibration induces an increase of the thickness of the capillary's wall. This result is in agreement with the available experimental data from the literature. Parametric analyses are done to study the relation between capillary growth and localization within finger s pulp, the vibration frequency, the magnitude of static preload and vibration, and the vibration dose.