Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
ATZ-Fachkongress

Chassis.tech plus 2024


4 Kongresse in einer Veranstaltung

Treffen Sie in München die Fachleute von Chassis, Lenkung, Bremsen sowie Reifen/Räder.
Erweiterte Suche
Anmelden
nach oben
Tribology Letters
Erschienen in: Tribology Letters 2/2014

01.11.2014 | Original Paper

Tire–Road Contact Stiffness

verfasst von: D. Wang, A. Ueckermann, A. Schacht, M. Oeser, B. Steinauer, B. N. J. Persson

Erschienen in: Tribology Letters | Ausgabe 2/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

When a rubber block is squeezed against a nominal flat but rough surface, the rubber bottom surface will penetrate into the substrate roughness profile. The relation between penetration depth \(w\) (or the average interfacial separation \(\bar{u}\)) and the applied squeezing pressure \(p\) determines the (perpendicular) contact stiffness \(K=\hbox {d}p/\hbox {d}w=-\hbox {d}p/\hbox {d}\bar{u}\), which is important for many applications. We have measured the relation between \(p\) and \(\bar{u}\) for a rubber block squeezed against 28 different concrete and asphalt road surfaces. We find a linear relation between \({\mathrm{log}}p\) and \(\bar{u}\), in agreement with theory predictions. The measured stiffness values correlate rather well with the theory prediction.
Vorheriger Artikel Mechanical and Tribological Properties of Ekonol Blends as Frictional Materials of Ultrasonic Motors

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Fußnoten
1
Contact mechanics for layered materials (in this case rubber slab and rigid (steel) plate) can also be studied within the same formalism as used in deriving Eq. (3)–(5), see [23‐25]
 
2
The filled rubber compound we use exhibits strain softening with an elastic modulus which decreases from \(\approx 12 \ {\mathrm{MPa}}\) to \(\approx 4 \ {\mathrm{MPa}}\) as the strain increases from 0.1 to 10 %. The rubber strain in the asperity contact regions is approximately independent of the nominal contact pressure and relative large so the large strain \(E\)-module is most relevant and we take \(E\approx 4 \ {\mathrm{MPa}}\). The effective modulus for the confined rubber disk is approximately given by the equation derived by Gent and Lindley (see Ref. [16]): \(E_{\mathrm{eff}} \approx E(1+2 S^2)\) where \(S=D/4d \approx 2.5\) (where \(D\approx 10 \, {\mathrm{cm}}\) is the diameter of the disk and \(d=1 \, {\mathrm{cm}}\) the thickness of the disk). Thus, we get \(E_{\mathrm{eff}} \approx 13.5 E \approx 54 \, {\mathrm{MPa}}\).
 
Literatur
1.
Barber, J.R.: Bounds on the electrical resistance between contacting elastic rough bodies. Proc. R. Soc. Lond. Ser. A 459, 53 (2003)CrossRef
2.
Persson, B.N.J., Lorenz, B., Volokitin, A.I.: Heat transfer between elastic solids with randomly rough surfaces. Eur. Phys. J. E 31, 3 (2010)CrossRef
3.
Campana, C., Persson, B.N.J., Müser, M.H.: Transverse and normal interfacial stiffness of solids with randomly rough surfaces. J. Phys. Condens. Matter 23, 085001 (2011)CrossRef
4.
The data analyzed in this paper were presented before in: Wang, D., Ueckermann, A., Schacht, A., Oeser, M., Steinauer, B.: Relationship between the tire penetration depth and the road surface texture: a theoretical model and the practical application. In: Proceeding of International Conference GeoHubei 2014. However, the power spectra used in this reference was not accurate, and the results and conclusions obtained in the paper cited above are not accurate
5.
Persson, B.N.J.: Relation between interfacial separation and load: a general theory of contact mechanics. Phys. Rev. Lett. 99, 125502 (2007)CrossRef
6.
Yang, C., Persson, B.N.J.: Contact mechanics: contact area and interfacial separation from small contact to full contact. J. Phys. Condens. Matter 20, 215214 (2008)CrossRef
7.
Lorenz, B., Persson, B.N.J.: Interfacial separation between elastic solids with randomly rough surfaces: comparison of experiment with theory. J. Phys. Condens. Matter 21, 015003 (2009)CrossRef
8.
Lorenz, B., Carbone, G., Schulze, C.: Average separation between a rough surface and a rubber block: comparison between theories and experiments. Wear 268, 984 (2010)CrossRef
9.
Almqvist, A., Campana, C., Prodanov, N., Persson, B.N.J.: Interfacial separation between elastic solids with randomly rough surfaces: comparison between theory and numerical techniques. J. Mech. Phys. Solids 59, 2355 (2011)CrossRef
10.
Pastewka, L., Prodanov, N., Lorenz, B., Mser, M.H., Robbins, M.O., Persson, B.N.J.: Finite-size effect in the interfacial stiffness of rough elastic contacts. Phys. Rev. E 87, 062809 (2013)CrossRef
11.
Akarapu, S., Sharp, T., Robbins, M.O.: Stiffness of contacts between rough surfaces. Phys. Rev. Lett. 106, 204301 (2011)CrossRef
12.
Gäbel, G., Kröger, M.: Proceedings of the INTER-NOISE 2007, Istanbul (2007)
13.
Gäbel, G., Moldenhauer, P., Kröger, M.: Local effects between the tyre and the road. ATZ 0612008 110, 71 (2008)
14.
Gäbel, G.: Beobachtung und Modellierung lokaler Phänomene im Reifen-Fahrbahn-Kontakt. PhD thesis, University of Hannover (2009)
15.
Dapp, W.B., Prodanov, N., Müser, M.H.: Systematic analysis of perssons contact mechanics theory of randomly rough elastic surfaces. J. Phys. Condens. Matter 26, 355002 (2014)
16.
Anderson, M.L., Mott, P.H., Roland, C.M.: The compression of bonded rubber disks. Rubber Chem. Technol. 77, 293 (2004)CrossRef
17.
Lyashenko, I.A., Pastewka, L., Persson, B.N.J.: On the validity of the method of reduction of dimensionality: area of contact, average interfacial separation and contact stiffness. Tribol. Lett. 52, 223 (2013)CrossRef
18.
Pohrt, R., Popov, V.L., Filippov, A.E.: Normal contact stiffness of elastic solids with fractal rough surfaces for one- and three-dimensional systems. Phys. Rev. E 86, 026710 (2012)CrossRef
19.
Barber, J.R.: Incremental stiffness and electrical contact conductance in the contact of rough finite bodies. Phys. Rev. E 87, 013203 (2013)CrossRef
20.
Persson, B.N.J., Albohr, O., Tartaglino, U., Volokitin, A.I., Tosatti, E.: On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion. J. Phys. Condens. Matter 17, R1 (2005)
21.
Persson, B.N.J.: On the fractal dimension of rough surfaces. Tribol. Lett. 54, 99 (2014)CrossRef
22.
Persson, B.N.J.: Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61, 201 (2006)CrossRef
23.
Carbone, G., Mangialardi, L.: Analysis of the adhesive contact of confined layers by using a Green’s function approach. J. Mech. Phys. Solids 56, 684 (2008)
24.
Carbone, G., Lorenz, B., Persson, B.N.J., Wohlers, A.: Contact mechanics and rubber friction for randomly rough surfaces with anisotropic statistical properties. Eur. Phys. J. E 29, 275 (2009)
25.
Persson, B.N.J.: J. Phys.: Contact mechanics for layered materials with randomly rough surfaces. Condens. Matter 24, 095008 (2012)
Metadaten
Titel
Tire–Road Contact Stiffness
verfasst von
D. Wang
A. Ueckermann
A. Schacht
M. Oeser
B. Steinauer
B. N. J. Persson
Publikationsdatum
01.11.2014
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 2/2014
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-014-0417-x

Weitere Artikel der Ausgabe 2/2014

Tribology Letters 2/2014 Zur Ausgabe

Original Paper

Boundary Layer Behaviour in Circular EHL Contacts in the Elastic-Piezoviscous Regime

Original Paper

Simulation of the Performance of Various PFPE Lubricants Under Heat Assisted Magnetic Recording Conditions

Original Paper

Tribological Behaviors of Self-lubricating Coating Prepared by Electrospark Deposition

Original Paper

Ferrofluid Lubrication of Compliant Polymeric Contacts: Effect of Non-homogeneous Magnetic Fields

Original Paper

Tribological Properties of SiC-Reinforced Basalt-Based Coatings

Original Paper

Effects of Interfacial Strength and Roughness on the Static Friction Coefficient

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise