Schematic mode coupling theories for shear thinning, shear thickening, and jamming

M. E. Cates, C. B. Holmes, M. Fuchs, O. Henrich

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

Mode coupling theory (MCT) explains several aspects of the glass transition in colloids. Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behavior such as the yield stress of a hard-sphere colloidal glass. Such theories only predict shear-thinning behavior, whereas in real colloids, both shear thinning and shear thickening can be found. The latter observation can, however, be rationalized by postulating an MCT vertex that is not only a decreasing function of strain rate but also an increasing function of stress. Within a highly simplified, schematic MCT model this can lead not only to discontinuous shear thickening but also to complete arrest of a fluid phase under the influence of an external stress.

LanguageEnglish
Title of host publicationUnifying Concepts in Granular Media and Glasses
EditorsAntonio Coniglio, Annalisa Fierro, Hans J. Herrmann, Mario Nicodemi
Place of PublicationAmsterdam
Pages203-216
Number of pages14
DOIs
Publication statusPublished - 30 Jun 2004
Externally publishedYes

Fingerprint

shear thinning
jamming
Shear thinning
Jamming
circuit diagrams
Schematic diagrams
Colloids
coupled modes
shear
Statistical mechanics
Yield stress
colloids
Strain rate
Glass transition
Glass
Fluids
glass
statistical mechanics
strain rate
apexes

Keywords

  • mode coupling theory (MCT)
  • flow behaviour
  • colloids
  • shear thinning
  • shear thickening

Cite this

Cates, M. E., Holmes, C. B., Fuchs, M., & Henrich, O. (2004). Schematic mode coupling theories for shear thinning, shear thickening, and jamming. In A. Coniglio, A. Fierro, H. J. Herrmann, & M. Nicodemi (Eds.), Unifying Concepts in Granular Media and Glasses (pp. 203-216). Amsterdam. https://doi.org/10.1016/B978-044451607-7/50017-0
Cates, M. E. ; Holmes, C. B. ; Fuchs, M. ; Henrich, O. / Schematic mode coupling theories for shear thinning, shear thickening, and jamming. Unifying Concepts in Granular Media and Glasses. editor / Antonio Coniglio ; Annalisa Fierro ; Hans J. Herrmann ; Mario Nicodemi. Amsterdam, 2004. pp. 203-216
@inbook{6bdb25b98b9b4065b51b794006ccedec,
title = "Schematic mode coupling theories for shear thinning, shear thickening, and jamming",
abstract = "Mode coupling theory (MCT) explains several aspects of the glass transition in colloids. Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behavior such as the yield stress of a hard-sphere colloidal glass. Such theories only predict shear-thinning behavior, whereas in real colloids, both shear thinning and shear thickening can be found. The latter observation can, however, be rationalized by postulating an MCT vertex that is not only a decreasing function of strain rate but also an increasing function of stress. Within a highly simplified, schematic MCT model this can lead not only to discontinuous shear thickening but also to complete arrest of a fluid phase under the influence of an external stress.",
keywords = "mode coupling theory (MCT), flow behaviour, colloids, shear thinning, shear thickening",
author = "Cates, {M. E.} and Holmes, {C. B.} and M. Fuchs and O. Henrich",
year = "2004",
month = "6",
day = "30",
doi = "10.1016/B978-044451607-7/50017-0",
language = "English",
isbn = "9780444516077",
pages = "203--216",
editor = "Antonio Coniglio and Annalisa Fierro and Herrmann, {Hans J.} and Mario Nicodemi",
booktitle = "Unifying Concepts in Granular Media and Glasses",

}

Cates, ME, Holmes, CB, Fuchs, M & Henrich, O 2004, Schematic mode coupling theories for shear thinning, shear thickening, and jamming. in A Coniglio, A Fierro, HJ Herrmann & M Nicodemi (eds), Unifying Concepts in Granular Media and Glasses. Amsterdam, pp. 203-216. https://doi.org/10.1016/B978-044451607-7/50017-0

Schematic mode coupling theories for shear thinning, shear thickening, and jamming. / Cates, M. E.; Holmes, C. B.; Fuchs, M.; Henrich, O.

Unifying Concepts in Granular Media and Glasses. ed. / Antonio Coniglio; Annalisa Fierro; Hans J. Herrmann; Mario Nicodemi. Amsterdam, 2004. p. 203-216.

Research output: Chapter in Book/Report/Conference proceedingChapter

TY - CHAP

T1 - Schematic mode coupling theories for shear thinning, shear thickening, and jamming

AU - Cates, M. E.

AU - Holmes, C. B.

AU - Fuchs, M.

AU - Henrich, O.

PY - 2004/6/30

Y1 - 2004/6/30

N2 - Mode coupling theory (MCT) explains several aspects of the glass transition in colloids. Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behavior such as the yield stress of a hard-sphere colloidal glass. Such theories only predict shear-thinning behavior, whereas in real colloids, both shear thinning and shear thickening can be found. The latter observation can, however, be rationalized by postulating an MCT vertex that is not only a decreasing function of strain rate but also an increasing function of stress. Within a highly simplified, schematic MCT model this can lead not only to discontinuous shear thickening but also to complete arrest of a fluid phase under the influence of an external stress.

AB - Mode coupling theory (MCT) explains several aspects of the glass transition in colloids. Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behavior such as the yield stress of a hard-sphere colloidal glass. Such theories only predict shear-thinning behavior, whereas in real colloids, both shear thinning and shear thickening can be found. The latter observation can, however, be rationalized by postulating an MCT vertex that is not only a decreasing function of strain rate but also an increasing function of stress. Within a highly simplified, schematic MCT model this can lead not only to discontinuous shear thickening but also to complete arrest of a fluid phase under the influence of an external stress.

KW - mode coupling theory (MCT)

KW - flow behaviour

KW - colloids

KW - shear thinning

KW - shear thickening

UR - http://www.scopus.com/inward/record.url?scp=84903657079&partnerID=8YFLogxK

UR - https://www.elsevier.com/books/unifying-concepts-in-granular-media-and-glasses/coniglio/978-0-444-51607-7

U2 - 10.1016/B978-044451607-7/50017-0

DO - 10.1016/B978-044451607-7/50017-0

M3 - Chapter

SN - 9780444516077

SP - 203

EP - 216

BT - Unifying Concepts in Granular Media and Glasses

A2 - Coniglio, Antonio

A2 - Fierro, Annalisa

A2 - Herrmann, Hans J.

A2 - Nicodemi, Mario

CY - Amsterdam

ER -

Cates ME, Holmes CB, Fuchs M, Henrich O. Schematic mode coupling theories for shear thinning, shear thickening, and jamming. In Coniglio A, Fierro A, Herrmann HJ, Nicodemi M, editors, Unifying Concepts in Granular Media and Glasses. Amsterdam. 2004. p. 203-216 https://doi.org/10.1016/B978-044451607-7/50017-0