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Indentations of plastic layers

Presented by: 
Neil Balmforth University of British Columbia
Date: 
Tuesday 19th September 2017 - 09:00 to 09:40
Venue: 
INI Seminar Room 1
Abstract: 
The indentation of a layer of plastic material by a solid object is a classical problem in plasticity theory. Using the method of sliplines (characteristics) Prandtl provided two key solutions suitable for the indentation of either a relatively shallow or deep layer by a flat plate. In this talk I will summarize how both solutions, and their generalizations, apply in three rather different problems:
1) locomotion through a yield-stress fluid (the viscoplastic version of Taylor's 1951 viscous problem),
2) the formation of footprints, and
3) the washboarding instability of a towed plate above a deformable layer
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons