Tuesday, May 23

From Dislocations to Plasticity: The Role of Matched Asymptotic Expansions

2:15 PM-3:00 PM
Room: Liberty B&C
Chair: Patricia E. Bauman, Purdue University, USA

The goal of many studies of dislocations in elastic crystals is to put macroscopic models of plasticity on a firmer microscopic basis. Such a procedure can be carried out for the analogous system of macroscopic models of type-II superconductors, where the superconducting vortex takes the place of a line dislocation, and the plasticity model is the Bean critical-state model. The speaker will compare and contrast the models for dislocations and superconductors, highlighting the special difficulties presented by the underlying discrete nature of dislocation core.

S. Jonathan Chapman
Mathematical Institute
Oxford University, United Kingdom
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