Thu, 10 Nov 2016
14:00 -
15:00
L5
On models of continuous sedimentation with compression and reactions
Raimund Buerger
(Universidad de Concepción)
We report on a numerical implementation of a quasi-static model of
rock detachment based on Allaire, Jouve and Van Goethem's
implementation of Francfort and Marigo's model of damage in brittle
solids, As such, local minimizers of a cost functional involving both
stored elastic energy and a damage penalization term are sought by
using a procedure which alternates between approximately solving a
linear elasticity system and advancing a transport equation for a
level set function describing the loci of still-attached rock. We pay
special attention to the mixed finite element method used in the
approximation of the linear elasticity system.