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

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10.1002/zamm.201700128

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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",

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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.

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KW - Kelvin-Voigt model

KW - Method of Dimensionality Reduction

KW - rheology

KW - Viscoelasticity

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