Line Defect dynamics and solid mechanics
Line defects arise in a host of materials; dislocations and grain/phase boundary junctions in crystalline and soft matter. Continuum mechanics does not provide an adequate framework for treating them. The kinematics of line defect dynamics provides a unifying theme, augmenting the classical balance laws of continuum mechanics with a conservation law for topological charge carried by these lines. A theory will be illustrated with examples related to dislocation dynamics with inertia and the computation of fields of interfacial defects like the star disclination and grain boundary disconnections.
(Refreshments will be served.)