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The Erwin Schrödinger Institute for Mathematical Physics

Workshop: New trends in the variational modeling of failure phenomena

Understanding the failure behavior of a great amount of different materials is currently among the most fascinating challenges lying at the interface between mathematics, physics, and materials science. Macroscopic phenomena such as plasticity, damage or fracture are considered to be the result of atomistic interactions and effects occurring on mesoscopic scales. Characterizing the interplay of such different material scales is therefore a key problem for the description of the physics behind the phenomena. This leads to a variety of interesting challenges spanning from fundamental modeling issues to rigorous mathematical foundations of the theory and their versatility to simulations.

A comprehensive mathematical understanding of failure phenomena relies on a variety of different techniques, and on the combination of ideas from various fields including continuum mechanics, calculus of variations, geometric measure theory, partial differential equations, and nonlinear functional analysis.

The workshop is expected to deal with different themes spanning from modeling questions for failure phenomena to the underlying mathematical theory. Topics that will be addressed include:

Organizers:

Elisa Davoli, Manuel Friedrich, and Riccardo Scala

List of speakers:



The Workshop New trends in the variational modeling of failure phenomena is organized thanks to a grant by the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), a programme-oriented research institute for mathematics and physics at the University of Vienna. Partial support is acknowledged from the SFB 65 Project Taming Complexity in Partial Differential Systems, financed through a grant by the Austrian Science Fund (FWF).