Around numerical methods for multiphysics and multiscale couplings in solid mechanics
Isabelle Ramière · HAL (Le Centre pour la Communication Scientifique Directe) · 2021
This Habilitation thesis (Habilitation à Diriger des Recherches - HDR) manuscript focuses on my research work carried out within the Fuel Studies Department (DEC) of the the French Alternative Energies and Atomic Energy Commission (CEA) since 2009.The first of my two main lines of research focuses on efficiency and precision of multiphysics couplings. In this context, I worked around the formalism of convergence acceleration of vector fixed point series, reduced order modeling for contact mechanics, but also around advancedmultiphysics modeling and simulation for understanding the mechanism of pellet-cladding gap closure in fast neutron reactors.My second major area of research concerns the implementation of multiscale couplings for solid mechanics and for different scale ratios. I thus contributed to develop adaptive local multigrid mesh refinement techniques for nonlinear mechanics and I also worked around the industrialimplementation of full field numerical homogenization methods based on the finite element square approach.