Instability in critical state theories of granular flow

David G. Schaeffer; Michael Shearer; E. Bruce Pitman

doi:10.1137/0150003

Instability in critical state theories of granular flow

David G. Schaeffer
, Michael Shearer
, E. Bruce Pitman

Department of Materials Design and Innovation

Duke University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Conditions characterizing the occurrence of instability in the partial differential equations arising in critical state theories for granular flow are derived. This continues earlier work studying ill-posedness in these equations. Implications of the stability results for the formation of shear bands are discussed.

Original language	English
Pages (from-to)	33-47
Number of pages	15
Journal	SIAM Journal on Applied Mathematics
Volume	50
Issue number	1
DOIs	https://doi.org/10.1137/0150003
State	Published - 1990

Access to Document

10.1137/0150003

Cite this

@article{d9eac101b28649c593677d1f1d15aa4b,

title = "Instability in critical state theories of granular flow",

abstract = "Conditions characterizing the occurrence of instability in the partial differential equations arising in critical state theories for granular flow are derived. This continues earlier work studying ill-posedness in these equations. Implications of the stability results for the formation of shear bands are discussed.",

author = "Schaeffer, \{David G.\} and Michael Shearer and Pitman, \{E. Bruce\}",

year = "1990",

doi = "10.1137/0150003",

language = "English",

volume = "50",

pages = "33--47",

journal = "SIAM Journal on Applied Mathematics",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "1",

}

TY - JOUR

T1 - Instability in critical state theories of granular flow

AU - Schaeffer, David G.

AU - Shearer, Michael

AU - Pitman, E. Bruce

PY - 1990

Y1 - 1990

N2 - Conditions characterizing the occurrence of instability in the partial differential equations arising in critical state theories for granular flow are derived. This continues earlier work studying ill-posedness in these equations. Implications of the stability results for the formation of shear bands are discussed.

AB - Conditions characterizing the occurrence of instability in the partial differential equations arising in critical state theories for granular flow are derived. This continues earlier work studying ill-posedness in these equations. Implications of the stability results for the formation of shear bands are discussed.

UR - https://www.scopus.com/pages/publications/0025387293

U2 - 10.1137/0150003

DO - 10.1137/0150003

M3 - Article

AN - SCOPUS:0025387293

SN - 0036-1399

VL - 50

SP - 33

EP - 47

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 1

ER -

Instability in critical state theories of granular flow

Abstract

Access to Document

Other files and links

Fingerprint

Cite this