Non-interpenetration in Thin-film Models of Elastic Solids
Explore a lecture on non-interpenetration in thin-film models presented by Barbora Benešová at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the dimension-reduction procedure in the membrane regime used to obtain thin-film models of elastic solids. Examine the crucial requirement of prohibiting matter penetration and how it translates from bulk to thin-film models. Understand the challenges of applying injectivity to thin films due to their ability to fold. Discover suitable conditions introduced for thin-film deformations that characterize non-interpenetration. Learn how these conditions are enforced by thin-film Γ-limits of bulk energies ensuring injectivity. Gain insights from this joint work with Martin Kružík (Prague), presented as part of the Workshop on "Between Regularity and Defects: Variational and Geometrical Methods in Materials Science" at ESI in February 2023.