Abstract
Until recently the analysis of contacts in tribological systems usually required the solution of complicated boundary value problems of three-dimensional elasticity and was thus mathematically and numerically costly. With the development of the so-called Method of Dimensionality Reduction (MDR) large groups of contact problems have been, by sets of specific rules, exactly led back to the elementary systems whose study requires only simple algebraic operations and elementary calculus. The mapping rules for axisymmetric contact problems of elastic bodies have been presented and illustrated in the previously published parts of The User's Manual, I and II, in Facta Universitatis series Mechanical Engineering [5, 9]. The present paper is dedicated to axisymmetric contacts of viscoelastic materials. All the mapping rules of the method are given and illustrated by examples.
| Original language | English |
|---|---|
| Pages (from-to) | 99-113 |
| Number of pages | 15 |
| Journal | Facta Universitatis, Series: Mechanical Engineering |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Aug 2018 |
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Keywords
- Contact
- Friction
- Method of dimensionality reduction
- Rheology
- Viscoelasticity
ASJC Scopus subject areas
- Civil and Structural Engineering
- Mechanics of Materials
- Mechanical Engineering
- Polymers and Plastics
- Industrial and Manufacturing Engineering
Cite this
Method of dimensionality reduction in contact mechanics and friction : A user’s handbook. iii. viscoelastic contacts. / Popov, Valentin L.; Willert, Emanuel; Heß, Markus.
In: Facta Universitatis, Series: Mechanical Engineering, Vol. 16, No. 2, 01.08.2018, p. 99-113.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Method of dimensionality reduction in contact mechanics and friction
T2 - A user’s handbook. iii. viscoelastic contacts
AU - Popov, Valentin L.
AU - Willert, Emanuel
AU - Heß, Markus
PY - 2018/8/1
Y1 - 2018/8/1
N2 - Until recently the analysis of contacts in tribological systems usually required the solution of complicated boundary value problems of three-dimensional elasticity and was thus mathematically and numerically costly. With the development of the so-called Method of Dimensionality Reduction (MDR) large groups of contact problems have been, by sets of specific rules, exactly led back to the elementary systems whose study requires only simple algebraic operations and elementary calculus. The mapping rules for axisymmetric contact problems of elastic bodies have been presented and illustrated in the previously published parts of The User's Manual, I and II, in Facta Universitatis series Mechanical Engineering [5, 9]. The present paper is dedicated to axisymmetric contacts of viscoelastic materials. All the mapping rules of the method are given and illustrated by examples.
AB - Until recently the analysis of contacts in tribological systems usually required the solution of complicated boundary value problems of three-dimensional elasticity and was thus mathematically and numerically costly. With the development of the so-called Method of Dimensionality Reduction (MDR) large groups of contact problems have been, by sets of specific rules, exactly led back to the elementary systems whose study requires only simple algebraic operations and elementary calculus. The mapping rules for axisymmetric contact problems of elastic bodies have been presented and illustrated in the previously published parts of The User's Manual, I and II, in Facta Universitatis series Mechanical Engineering [5, 9]. The present paper is dedicated to axisymmetric contacts of viscoelastic materials. All the mapping rules of the method are given and illustrated by examples.
KW - Contact
KW - Friction
KW - Method of dimensionality reduction
KW - Rheology
KW - Viscoelasticity
UR - http://www.scopus.com/inward/record.url?scp=85051268155&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051268155&partnerID=8YFLogxK
U2 - 10.22190/FUME180327013P
DO - 10.22190/FUME180327013P
M3 - Article
VL - 16
SP - 99
EP - 113
JO - Facta Universitatis, Series: Mechanical Engineering
JF - Facta Universitatis, Series: Mechanical Engineering
SN - 0354-2025
IS - 2
ER -