On duality between Cosserat elasticity and fractons
Gromov, A., Surówka, P.
Abstract
We present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a U (1) vector-valued one-form gauge field and an ordinary U (1) gauge field. We discuss the degrees of freedom in the corresponding gauge theories, relation to symmetric tensor gauge theories, the defect matter and coupling to the curved space.
Topics & Concepts
Duality (order theory)Elasticity (physics)Gauge theoryClassical mechanicsPhysicsMathematicsTheoretical physicsMathematical physicsPure mathematicsThermodynamicsTheoretical and Computational PhysicsComposite Material MechanicsNonlocal and gradient elasticity in micro/nano structures