Scale effects induced by strain-gradient plasticity and interfacial resistance in randomly heterogeneous media

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• John Willis, DAMTP
• Monday 13 February 2006, 13:00-14:00
• MR4, DAMTP.

If you have a question about this talk, please contact Paul Metcalfe.

The theory and physical origin of strain-gradient plasticity will be briefly outlined, and a “deformation theory” (as opposed to “flow theory”) version will be developed. A distinctive aspect of the theory is that it requires an additional boundary condition, or condition across any interface. This may be turned to advantage by introducing an “interfacial potential” that penalises the development of plastic flow at an interface, by impeding the motion of dislocations. A scale-dependent hardening effect in any material such as a composite or a polycrystal is generated thereby. Treatment of such materials as having random microgeometry renders exact solution intractable but approximations (which in some cases are bounds) can be developed via a variational formulation. This will be illustrated with simple examples.

This talk is part of the Monday Mechanics Seminars (DAMTP) series.

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