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 | |
| Publication status | Published - 1 Feb 2018 |
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Keywords
- compressibility
- Kelvin-Voigt model
- Method of Dimensionality Reduction
- rheology
- Viscoelasticity
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics
Cite this
Short note : Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid. / Willert, E.; Popov, V. L.
In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 98, No. 2, 01.02.2018, p. 306-311.Research output: Contribution to journal › Article
}
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 -