La Trobe-Kyushu Joint Seminar on Mathematics for Industry
Tuesday, 3 September 2024
Dynamics of crystal defects: dislocations and disclinations
Date: Tuesday, 3 September 2024 12:00 - 13:00
Place: Online via Zoom
Speaker: Marco Morandotti (Politecnico di Torino)
Biography: Marco Morandotti received his PhD in Applied Mathematics from SISSA, Italy and spent a few years as a postdoc in universities in the United States, Portugal, Italy, and Germany. Since 2022 he is associate professor of Mathematical Analysis at Politecnico di Torino, Italy.
Abstract:
Defects in crystalline materials are responsible for alterations of physical and mechanical properties of these media and it is therefore important to study their energetics and their motion.
In this talk, I will introduce dislocations (defects due to the failure of closure of the linear part of the deformation gradient) and disclinations (defects due to the failure of closure of the angular part of the deformation gradient), show their energetics, and present the maximal dissipation rule for their dynamics. I will write and comment on the equations of motion and will showcase some relevant examples that allow us to understand mechanisms such as collisions and annihilations, and cross- and fine cross-slip. The presentation is complemented by animations from numerical simulations illustrating some of these situations. Part of this talk is based on: https://cvgmt.sns.it/paper/6744/
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This seminar series is a valuable opportunity for graduate students to get acquainted with the work of more experienced researchers in various mathematical fields. Undergraduate students are also welcome to join, as the talks are intended for non-experts, too. Regardless of your area of research, you can attend the seminar to expand your knowledge and get in touch with the latest developments in mathematics for industry.
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