Indentations of plastic layers

46 mins 1 sec,  84.18 MB,  MP3  44100 Hz,  249.75 kbits/sec
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Description: Balmforth, N
Tuesday 19th September 2017 - 09:00 to 09:40
 
Created: 2017-09-20 14:15
Collection: Growth form and self-organisation
Publisher: Isaac Newton Institute
Copyright: Balmforth, N
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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