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Effects of nonlocal stress on the determination of shear banding flow

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Lu, C.-Y. David, Olmsted, Peter D. and Ball, Robin. (2000) Effects of nonlocal stress on the determination of shear banding flow. Physical Review Letters, Vol.84 (No.4). pp. 642-645. ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.84.642

Abstract

We analyze the steady planar shear Row of the modified Johnson-Segalman model, which has an added nonlocal term. We find that the new term allows for unambiguous selection of the stress at which two "phases" coexist, in contrast to the original model. For general differential constitutive models we show the singular nature of stress selection in terms of a saddle connection between fixed points in the equivalent dynamical system. The result means that stress selection is unique under most conditions for space nonlocal models. Finally, illustrated by simple models, we show that stress selection generally depends on the form of the nonlocal terms (weak universality).

Item Type:

Journal Article

Subjects:

Q Science > QC Physics

Divisions:

Faculty of Science > Physics

Library of Congress Subject Headings (LCSH):

Shear flow, Rheology

Journal or Publication Title:

Physical Review Letters

Publisher:

American Physical Society

ISSN:

0031-9007

Official Date:

24 January 2000

Dates:

Date	Event
24 January 2000	Published

Volume:

Vol.84

Number:

No.4

Number of Pages:

Page Range:

pp. 642-645

Identification Number:

10.1103/PhysRevLett.84.642

Status:

Peer Reviewed

Publication Status:

Published

Access rights to Published version:

Open Access

References:

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