Relations between loss angles in isotropic linear viscoelastic materials

H.A. Waterman

Research output: Contribution to journalArticleAcademic

19 Citations (Scopus)
48 Downloads (Pure)

Abstract

Starting from the relations between complex dynamic moduli simple diagrams are deduced connecting the locus of complex Poisson's ratiov* ≡v′ +iv″ in the complexv* plane with differences between various loss angles. From these diagrams the sequence of magnitudes of several loss angles appearing in linear viscoelastic theory is deduced. Although theoretically this sequence depends on the values ofv′ andv″, it is found experimentally that for polymeric materials, due to the fact that the values ofv′ andv″ are constrained to limited ranges, general rules can be given. The sequences deduced are compared with experimental data. Finally some relations are used to illustrate the phase relationships between stress and deformations in an uniaxial stress experiment. From these relations a new method for measuring the loss angle in compression is suggested.
Original languageUndefined
Pages (from-to)31-42
JournalRheologica acta
Volume16
Issue number1
DOIs
Publication statusPublished - 1977

Keywords

  • IR-85471

Cite this

Waterman, H.A. / Relations between loss angles in isotropic linear viscoelastic materials. In: Rheologica acta. 1977 ; Vol. 16, No. 1. pp. 31-42.
@article{40aaab9e4a874120a3a6d768c5cfc3a6,
title = "Relations between loss angles in isotropic linear viscoelastic materials",
abstract = "Starting from the relations between complex dynamic moduli simple diagrams are deduced connecting the locus of complex Poisson's ratiov* ≡v′ +iv″ in the complexv* plane with differences between various loss angles. From these diagrams the sequence of magnitudes of several loss angles appearing in linear viscoelastic theory is deduced. Although theoretically this sequence depends on the values ofv′ andv″, it is found experimentally that for polymeric materials, due to the fact that the values ofv′ andv″ are constrained to limited ranges, general rules can be given. The sequences deduced are compared with experimental data. Finally some relations are used to illustrate the phase relationships between stress and deformations in an uniaxial stress experiment. From these relations a new method for measuring the loss angle in compression is suggested.",
keywords = "IR-85471",
author = "H.A. Waterman",
year = "1977",
doi = "10.1007/BF01516927",
language = "Undefined",
volume = "16",
pages = "31--42",
journal = "Rheologica acta",
issn = "0035-4511",
publisher = "Springer",
number = "1",

}

Relations between loss angles in isotropic linear viscoelastic materials. / Waterman, H.A.

In: Rheologica acta, Vol. 16, No. 1, 1977, p. 31-42.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Relations between loss angles in isotropic linear viscoelastic materials

AU - Waterman, H.A.

PY - 1977

Y1 - 1977

N2 - Starting from the relations between complex dynamic moduli simple diagrams are deduced connecting the locus of complex Poisson's ratiov* ≡v′ +iv″ in the complexv* plane with differences between various loss angles. From these diagrams the sequence of magnitudes of several loss angles appearing in linear viscoelastic theory is deduced. Although theoretically this sequence depends on the values ofv′ andv″, it is found experimentally that for polymeric materials, due to the fact that the values ofv′ andv″ are constrained to limited ranges, general rules can be given. The sequences deduced are compared with experimental data. Finally some relations are used to illustrate the phase relationships between stress and deformations in an uniaxial stress experiment. From these relations a new method for measuring the loss angle in compression is suggested.

AB - Starting from the relations between complex dynamic moduli simple diagrams are deduced connecting the locus of complex Poisson's ratiov* ≡v′ +iv″ in the complexv* plane with differences between various loss angles. From these diagrams the sequence of magnitudes of several loss angles appearing in linear viscoelastic theory is deduced. Although theoretically this sequence depends on the values ofv′ andv″, it is found experimentally that for polymeric materials, due to the fact that the values ofv′ andv″ are constrained to limited ranges, general rules can be given. The sequences deduced are compared with experimental data. Finally some relations are used to illustrate the phase relationships between stress and deformations in an uniaxial stress experiment. From these relations a new method for measuring the loss angle in compression is suggested.

KW - IR-85471

U2 - 10.1007/BF01516927

DO - 10.1007/BF01516927

M3 - Article

VL - 16

SP - 31

EP - 42

JO - Rheologica acta

JF - Rheologica acta

SN - 0035-4511

IS - 1

ER -