Short note: Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid

Abstract

Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin-Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.

Original language	English
Pages (from-to)	306-311
Number of pages	6
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	98
Issue number	2
DOIs	https://doi.org/10.1002/zamm.201700128
Publication status	Published - 1 Feb 2018

Keywords

compressibility
Kelvin-Voigt model
Method of Dimensionality Reduction
rheology
Viscoelasticity

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

Access to Document

10.1002/zamm.201700128

Fingerprint Dive into the research topics of 'Short note: Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid'. Together they form a unique fingerprint.

Cite this

@article{b4dac83c953249a2a7dbf459aefa1081,

title = "Short note: Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid",

abstract = "Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin-Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.",

keywords = "compressibility, Kelvin-Voigt model, Method of Dimensionality Reduction, rheology, Viscoelasticity",

author = "E. Willert and Popov, {V. L.}",

year = "2018",

month = feb,

day = "1",

doi = "10.1002/zamm.201700128",

language = "English",

volume = "98",

pages = "306--311",

journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",

issn = "0044-2267",

publisher = "Wiley-VCH Verlag",

number = "2",

}

TY - JOUR

T1 - Short note

T2 - Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid

AU - Willert, E.

AU - Popov, V. L.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin-Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.

AB - Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin-Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.

KW - compressibility

KW - Kelvin-Voigt model

KW - Method of Dimensionality Reduction

KW - rheology

KW - Viscoelasticity

UR - http://www.scopus.com/inward/record.url?scp=85030241671&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030241671&partnerID=8YFLogxK

U2 - 10.1002/zamm.201700128

DO - 10.1002/zamm.201700128

M3 - Article

AN - SCOPUS:85030241671

VL - 98

SP - 306

EP - 311

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 2

ER -