Non-interpenetration of matter in lower-dimensional structures

Martin Kružík (Institute of Information Theory and Automation, Czech Academy of Sciences, Prague)

Abstract. Non-interpenetration of matter is a well-known challenge for solid elastic materials combining analytical and geometrical aspects. In the bulk model, at least on the conceptual level, non-interpenetration is quite understood even if many challenges still remain open. In lower-dimensional structures (plates, rods), the situation seems to be even less clear. Focusing on rods in the plane, we will introduce a possible concept of noninterpenetration and show density and Gamma-limit results in this case. This is a joint work in progress with B. Benešová, D. Campbell, and S. Hencl (all from Prague).