Elasto-plasticity driven by dislocation movement via space-time currents

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• Filip Rindler, University of Warwick
• Monday 19 February 2024, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Amelie Justine Loher.

This talk presents some recent progress on the analysis of models coupling large-strain, geometrically nonlinear elasto-plasticity with the movement of dislocations. In particular, a new approach, building on tools from Geometric Measure Theory, is introduced that yields a natural mathematical framework for dislocation evolutions. The fundamental notion is the two-dimensional “slip trajectory” in space-time (realized as an integral 2-current) and the dislocations at a given time are recovered via slicing. This modelling approach allows one to prove the existence of solutions to an evolutionary system describing a crystal undergoing large-strain elasto-plastic deformations, where the plastic part of the deformation is driven directly by the movement of dislocations. This is joint work with P. Bonicatto (Trento), G. Del Nin (MPI Leipzig), T. Hudson (Warwick).

This talk is part of the Partial Differential Equations seminar series.

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