Relations Between Shear and Normal Stresses in a Step-Shear Experiment

Ole Hassager, Sven Pedersen

Research output: Contribution to journalJournal articleCommunication

Abstract

The Lodge-Meissner step-shear relation for simple fluids is examined. It is demonstrated that the relation depends critically on two assumptions for the integral expansion of the simple fluid: First, the use of the Cauchy strain tensor as strain measure, and second, that the memory functions are bounded. It is pointed out that many simple differential and integral models do not satisfy these criteria and hence predict deviations from the Lodge-Meissner relation.
Original languageEnglish
JournalJournal of Non-Newtonian Fluid Mechanics
Volume4
Issue number3
Pages (from-to)261-268
Number of pages8
ISSN0377-0257
DOIs
Publication statusPublished - 1978

Cite this

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title = "Relations Between Shear and Normal Stresses in a Step-Shear Experiment",
abstract = "The Lodge-Meissner step-shear relation for simple fluids is examined. It is demonstrated that the relation depends critically on two assumptions for the integral expansion of the simple fluid: First, the use of the Cauchy strain tensor as strain measure, and second, that the memory functions are bounded. It is pointed out that many simple differential and integral models do not satisfy these criteria and hence predict deviations from the Lodge-Meissner relation.",
author = "Ole Hassager and Sven Pedersen",
year = "1978",
doi = "10.1016/0377-0257(78)80008-1",
language = "English",
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pages = "261--268",
journal = "Journal of Non-Newtonian Fluid Mechanics",
issn = "0377-0257",
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}

Relations Between Shear and Normal Stresses in a Step-Shear Experiment. / Hassager, Ole; Pedersen, Sven.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 4, No. 3, 1978, p. 261-268.

Research output: Contribution to journalJournal articleCommunication

TY - JOUR

T1 - Relations Between Shear and Normal Stresses in a Step-Shear Experiment

AU - Hassager, Ole

AU - Pedersen, Sven

PY - 1978

Y1 - 1978

N2 - The Lodge-Meissner step-shear relation for simple fluids is examined. It is demonstrated that the relation depends critically on two assumptions for the integral expansion of the simple fluid: First, the use of the Cauchy strain tensor as strain measure, and second, that the memory functions are bounded. It is pointed out that many simple differential and integral models do not satisfy these criteria and hence predict deviations from the Lodge-Meissner relation.

AB - The Lodge-Meissner step-shear relation for simple fluids is examined. It is demonstrated that the relation depends critically on two assumptions for the integral expansion of the simple fluid: First, the use of the Cauchy strain tensor as strain measure, and second, that the memory functions are bounded. It is pointed out that many simple differential and integral models do not satisfy these criteria and hence predict deviations from the Lodge-Meissner relation.

U2 - 10.1016/0377-0257(78)80008-1

DO - 10.1016/0377-0257(78)80008-1

M3 - Journal article

VL - 4

SP - 261

EP - 268

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 3

ER -