Cy Maor: Non-Euclidean Elasticity: Thin Bodies and Material Defects

Speaker: Dr. Cy Maor (Hebrew University of Jerusalem)
Location: TU Dresden, Building Z21, (hybrid)
Contact: Prof. Stefan Neukamm

Title: Non-Euclidean Elasticity: Thin Bodies and Material Defects

Abstract:
Many bodies in nature that undergo inhomogeneous growth/shrinkage become "pre-strained", i.e. 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 modelled as Riemannian manifolds. In this series of talks I will describe non-Euclidean elasticity, including motivating experimental settings, some rigorous and less rigorous results, and open questions. I will focus mainly on two important cases:

• thin bodies (shells, rods and ribbons) - the relations between their intrinsic geometry and their elastic behaviour, in particular with respect to shape transitions in non-Euclidean ribbons.
• Material defects - a geometric model for dislocations and other types of defects, their homogenisation limits, and the role of curvature and torsion in continuously distributed defects.

No prior knowledge of Riemannian geometry is assumed.

Registration is required (but free). For registration, further information and a tentative schedule see https://tud.link/1utb.