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Stress-controlled shear waves in a saturated granular medium

Published online by Cambridge University Press:  01 February 2000

BRIAN T. HAYES  and
DAVID G. SCHAEFFER
BRIAN T. HAYES
Affiliation:
Department of Mathematics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708-0320, USA
DAVID G. SCHAEFFER
Affiliation:
Department of Mathematics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708-0320, USA
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Abstract

We study plane shear waves in a continuum model for a saturated soil, assuming a hypoplastic flow rule. Following an earlier paper on velocity-controlled waves [1], we now specify a time- periodic stress disturbance on the boundary of a semi-infinite medium. As before, the stress saturates, tending at large times to a position-independent value, away from the boundary. By contrast, the dependence of this asymptotic state on the boundary data is strikingly different: in the previous case, this dependence was wildly discontinuous, while here it is very simple and smooth.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 1 , February 2000 , pp. 81 - 94
Copyright
2000 Cambridge University Press

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