Gamma convergence as a modeling tool, and application to ice floe fracturation in marginal ice zone
1/03/2018 - 16:00 Mr Dimitri Balasoiu (Laboratoire Jean Kuntzmann) Salle 106 - Batiment IMAG
In 2012, a collaboration between TOTAL E&P, ISTerre and the LJK has been launched on the study of sea ice mechanics. They developed a granular model for sea ice modeling. We want to improve this model by taking into account percussion and fracturation of ice floes. We will start by sketching our model for the fracturation of a single ice floe submitted to a displacement of it's boundary. We consider our ice floe as an elastic material. According to Griffith's criterion, finding the fracture's location amounts to minimizing an energy functional on the right functional space. We justify our modeling method with a Gamma-convergence result. Then, we will describe our strategy to understand the percussion mechanism. Oddly enough, there is no theory for the percussion of two elastic materials. We will present a gamma-convergence result that allows us to go from the microscopic scale to the macroscopic scale. That result is the fist step to retrieve macroscopic effects from a microscopic scale description of percussion.