SS27 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Advances in the mathematical modeling of failure phenomena and interfaces in materials
Name: Affiliation: Country: Email Address:
Marco Morandotti
SISSA - International School for Advanced Studies
Marco Barchiesi
Universit\`a di Napoli ``Federico II''
Jos\'e Matias
Instituto Superior T\'ecnico, Universidade de Lisboa
In recent years, there has been an ever-increasing interest in the development of mathematical techniques capable to describe the interplay between microscopic and macroscopic theories in material science. Bridging different (length and time) scales is crucial to grasp the fine structural behavior of the equilibrium configurations. The challenge is two-fold: capturing the emergence of microstructure from meso- and macroscopic models, and deriving effective macroscopic models from microscopic ones. Tackling these issues is interesting both for the mathematical and for the engineering communities: for the former, this involves dealing with the minimization of non-convex and non-local energies; for the latter, it provides formalization and validation of experimental models. This special session will focus on current research topics including dislocation theory, pattern formation, fracture mechanics, plasticity, and their numerical implementation.
List of approved abstract