Defects, Microstructures, and Failure: Multiscale Variational Models
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Organizer(s): |
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Affiliation:
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Country:
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Leonard Kreutz
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Technical University of Munich
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Germany
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Konstantinos Zemas
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University of Bonn
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Germany
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Introduction:
| | Understanding the failure behavior of materials remains one of the most compelling challenges at the intersection of mathematics, physics, engineering, and materials science. The macroscopic behavior of materials is profoundly influenced by the presence and interaction of defects and microstructures, which evolve across multiple scales and give rise to interesting scientific challenges. A comprehensive understanding of the interplay between macroscopic failure phenomena and structures at the meso- and microscales remains a central goal in applied mathematics.
From a variational perspective, much of the research has focused on the introduction and rigorous analysis of appropriate energy functionals governing the physical behavior of the system under investigation. This session brings together leading researchers in applied mathematics--particularly, in the calculus of variations--and highlights such models, with emphasis on models of magnetic and elastic materials.
Regarding magnetic materials, special attention will be given to localized, non-uniform spin textures, including magnetic skyrmions, skyrmionic bubbles, vortices, and chiral domain walls. In elasticity theory, the session will focus on understanding the mechanisms behind the emergence of material defects such as cracks, folds, and dislocations.
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