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The flutter instability in granular flow

I n the flutter instability (so-named by Rice), the dynamic partial differential equations of continuum mechanics become ill-posed in the sense of Hadamard because the wave speed turns complex. Both real and imaginary parts of the wave speed are nonzero, meaning that waves propagate as they are ampl...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 1992, Vol.40 (3), p.683-698
Main Authors: An, Lianjun, Schaeffer, David G.
Format: Article
Language:English
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Summary:I n the flutter instability (so-named by Rice), the dynamic partial differential equations of continuum mechanics become ill-posed in the sense of Hadamard because the wave speed turns complex. Both real and imaginary parts of the wave speed are nonzero, meaning that waves propagate as they are amplified. For over a decade there was uncertainty whether any viable constitutive law led to the flutter instability. In this paper it is proved that the flutter instability does occur in widely accepted, two-dimensional models for granular flow.
ISSN:0022-5096
DOI:10.1016/0022-5096(92)80009-F