Orateur
Adriana Garroni
Description
I will present a recent result obtained in collaboration with S. Conti, V. Crismale and A. Malusa.
We consider a phase-field model `a la Ambrosio Tortorelli in order to approximate sharp interface energies for grain boundaries accounting for the Read and Shockley law for small angle grain boundaries.
The independent variable takes values in the orthogonal group O(d) modulo a lattice point group G, reflecting the crystallographic symmetries of the underlying lattice.
We also consider a discrete version of this approximation which can be applicable to the reconstruction of grain boundaries from imaging data.