Non-Euclidean elasticity: shape transitions in non-Euclidean ribbons

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. They are typically modeled by having an intrinsic non-flat metric, giving rise to non-Euclidean elasticity. Of particular interest are thin bodies: shell-like, rod-like or ribbon-like bodies (e.g., leaves or supramolecular assemblies), which exhibit interesting energy-driven patterns. In this talk I will describe the model of non-Euclidean elasticity, and then focus on thin bodies, the relations between their intrinsic curvature and their elastic behavior, and specifically on shape transitions in non-Euclidean ribbons.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)