3:30–4:30 pm
Please Join us:
Colin Scheibner’s PhD Thesis Defense
ODD ELASTICITY
Elasticity theory is the continuum description of how solids and patterns resist deformation. Classical elasticity is strongly constrained by the assumption that strain (deformation) and stress (response to deformation) are related through gradients of a potential energy. This assumption is not generally valid for systems with internal sources of energy or systems that are governed by non-energetic interactions, such as collections of living organisms, driven colloids, coupled gyroscopes, or skyrmion lattices. In this talk, I will formulate a continuum theory, dubbed odd elasticity, that generalizes classical elasticity to include nonconservative forces. In the linear regime, nonconservative forces endow the elastic modulus tensor with an antisymmetric (or odd ) contribution (and hence the name). I will discuss how odd elasticity affects elastostatics, elastodynamics, and the motion of topological defects, and I will highlight applications to experimental systems.
Committee Members:
Vincenzo Vitelli (Chair)
William Irvine
Dam Son
Sidney Nagel