Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling

H. T. Banks; Nicholas S Luke; J. R. Samuels Jr.

doi:10.1002/num.20250

Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling

H. T. Banks
, Nicholas S Luke
, J. R. Samuels Jr.

Mathematics and Statistics

North Carolina State University

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

We report on two recent advances in the modeling of viscoelastic polymers: (i) a new constitutive model that combines the virtual stick-slip continuum "molecular-based" ideas of Johnson and Stacer with the Rouse bead chain ideas; (ii) a two-dimensional version of a model that accounts for stenosis-driven shear wave propagation in biotissue. © 2007 Wiley Periodicals, Inc.

Original language	English
Pages (from-to)	817-831
Number of pages	15
Journal	Numerical Methods for Partial Differential Equations
Volume	23
Issue number	4
DOIs	https://doi.org/10.1002/num.20250
State	Published - Jan 1 2007

Keywords

Biotissue
Constitutive models
Shear wave propagation
Stenosis
Viscoelastic polymers

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10.1002/num.20250

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AU - Luke, Nicholas S

AU - Samuels Jr., J. R.

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AB - We report on two recent advances in the modeling of viscoelastic polymers: (i) a new constitutive model that combines the virtual stick-slip continuum "molecular-based" ideas of Johnson and Stacer with the Rouse bead chain ideas; (ii) a two-dimensional version of a model that accounts for stenosis-driven shear wave propagation in biotissue. © 2007 Wiley Periodicals, Inc.

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KW - Constitutive models

KW - Shear wave propagation

KW - Stenosis

KW - Viscoelastic polymers

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ER -

Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling

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