Compact Course "Non-Euclidean elasticity: thin bodies and material defects"
Sept 20 - Sept 26 2023, TU Dresden (hybrid)
Speaker:
Dr. Cy Maor
Hebrew University of Jerusalem
http://www.math.huji.ac.il/~cmaor/
Abstract:
Many bodies in nature that undergo inhomogeneous growth/shrinkage become "pre-strained"; that is, they are stressed even in the absence of external forces. A useful model for treating such bodies is "non-Euclidean elasticity", in which the bodies are modeled as Riemannian manifolds. In this series of lectures I will describe non-Euclidean elasticity, including motivating experimental settings, some rigorous and less rigorous results, as well as open questions. I will mainly focus on two important cases:
1) thin bodies (shells, rods and ribbons) — the relations between their intrinsic geometry and their elastic behavior, in particular regarding shape transitions in non-Euclidean ribbons.
2) material defects — a geometric model for dislocations and other types of defects, their homogenization limits, and the role of curvature and torsion in continuously distributed defects.
No prior knowledge in Riemannian geometry will be assumed.
Tentative Schedule
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Wednesday, Sept 20th, 9:30 – 11:00
recording, lecture notes -
Friday, Sept 22th, 9:30 – 11:00
recording, lecture notes -
Monday, Sept 25th, 9:30 – 11:00
recording, lecture notes -
Tuesday, Sept 26th, 9:30 – 11:00
recording, lecture notes, slide on ribbons
Place:
TU Dresden, Bürogebäude Z21 Zellescher Weg 21-25a
Room: Z21-217
http://navigator.tu-dresden.de/etplan/z21/02/raum/342102.0450
Registration:
Please register online via the form.
The registration and participation is free.
Participation via ZOOM:
Please register via the link above. An invitation to a ZOOM Meeting will be sent to you.
Contact:
Acknowledgement:
The compact course is organized and supported by DFG Research Unit 3013 "Vector- and Tensor-Valued Surface PDEs"