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
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Tribology Letters
Erschienen in: Tribology Letters 3/2013

01.09.2013 | Original Paper

Nonlocal Frictional Effects at Indentation of Elastic Materials

verfasst von: Denis Jelagin, Per-Lennart Larsson

Erschienen in: Tribology Letters | Ausgabe 3/2013

Einloggen

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

search-config
loading …

Abstract

Indentation of elastic materials is investigated numerically using the finite element method. Large deformation theory is relied upon for accuracy. The study focuses on nonlocal frictional effects on relevant indentation quantities in the microindentation regime. The indentation quantities investigated include both local and global ones. It is shown that nonlocal frictional effects are small when global quantities are at issue, as is the case when conventional (Coulomb) theory of friction is used, also when these features are introduced at the ridges of a Vickers indenter where stress gradients are substantial. These effects are, however, shown to be of importance for particular indenter geometries as far as local field variables are concerned.
Vorheriger Artikel Spreading Kinetics of Lubricant Droplets on Magnetic Recording Disks
Nächster Artikel Frictional Resistance Model of Capsule Endoscope in the Intestine

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
Literatur
1.
Pethica, J.B., Hutchings, R., Oliver, W.C.: Hardness measurements at penetration depths as small as 20 nm. Phil. Mag. A48, 593–606 (1983)
2.
Tabor, D.: Hardness of Metals. Cambridge University Press, Cambridge (1951)
3.
Johnson, K.L.: The correlation of indentation experiments. J. Mech. Phys. Solids 18, 115–126 (1970)CrossRef
4.
Storåkers, B., Biwa, S., Larsson, P.L.: Similarity analysis of inelastic contact. Int. J. Solids Struct. 34, 3061–3083 (1997)CrossRef
5.
Larsson, P.L.: On the mechanical behavior of global parameters in material characterization by sharp indentation testing. J. Testing Eval. 32, 310–321 (2004)
6.
Oliver, W.C., Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564–1583 (1992)CrossRef
7.
Wilshaw, T.R.: The Hertzian fracture test. J. Phys. D Appl. Phys. 4, 1567–1581 (1971)CrossRef
8.
Fredriksson, P., Larsson, P.L.: Wedge indentation of thin films modeled by strain gradient plasticity. Int. J. Solids Struct. 45, 5556–5566 (2008)CrossRef
9.
Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47–57 (1965)CrossRef
10.
Larsson, P.L.: Investigation of sharp contact at rigid plastic conditions. Int. J. Mech. Sci. 43, 895–920 (2001)CrossRef
11.
Jang, J., Lance, M.J., Wen, S.Q., Tsui, T.Y., Pharr, G.M.: Indentation-induced phase transformations in silicon: influences of load, rate and indenter angle on the transformation behavior. Acta Mater. 53, 1759–1770 (2005)CrossRef
12.
Hertz, H.: Uber die Berührung fester elastischer Körper. J. Reine Angew. Math. 92, 156–171 (1882)
13.
Spence, D.A.: The Hertz contact problem with finite friction. J. Elast. 5, 297–319 (1975)CrossRef
14.
Hills, D.A., Sackfield, A.: The stress field induced by normal contact between dissimilar spheres. J. Appl. Mech. 54, 8–14 (1987)CrossRef
15.
Borodich, F.M.: The Hertz frictional contact between nonlinear elastic anisotropic bodies (the similarity approach). Int. J. Solids Struct. 30, 1513–1526 (1993)CrossRef
16.
Giannakopoulos, A.E., Larsson, P.L.: Analysis of pyramid indentation of pressure sensitive hard metals and ceramics. Mech. Mater. 25, 1–35 (1997)CrossRef
17.
Carlsson, S., Biwa, S., Larsson, P.L.: On frictional effects at inelastic contact between spherical bodies. Int. J. Mech. Sci. 42, 107–128 (2000)CrossRef
18.
Mata, M., Alcala, J.: The role of friction on sharp indentation. J. Mech. Phys. Solids 52, 145–165 (2004)CrossRef
19.
Storåkers, B., Elaguine, D.: Hertz contact at finite friction and arbitrary profiles. J. Mech. Phys. Solids 53, 1422–1447 (2005)CrossRef
20.
Jelagin, D., Larsson, P.-L.: On indentation and initiation of fracture in glass. Int. J. Solids Struct. 45, 2993–3008 (2008)CrossRef
21.
Johnsson, K.L., O’Connor, J.J., Woodward, A.C.: The effect of indenter elasticity on the Hertzian fracture of brittle materials. Proc. R. Soc. London A 334, 95–117 (1973)CrossRef
22.
Elaguine, D., Brudieu, M.-A., Storakers, B.: Hertzian fracture at unloading. J. Mech. Phys. Solids 54, 2453–2473 (2006)CrossRef
23.
Lawn, B.R.: Indentation of ceramics with spheres: a century after Hertz. J. Am. Cer. Soc. 81, 1977–1994 (1998)CrossRef
24.
Oden, J.T., Pires, E.B.: Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity. J. Appl. Mech. 50, 67–73 (1983)CrossRef
25.
Olofsson, U., Hagman, L.A.: A model for micro-slip between flat surfaces based on deformation of ellipsoidal elastic bodies. Tribol. Int. 30, 599–603 (1997)CrossRef
26.
Greenwood, J.A., Williamson, J.B.P.: Contact of nominally flat surfaces. Proc. R. Soc. London A295, 300–319 (1966)
27.
Johnson, K.L., Greenwood, J.A., Higginson, J.G.: The contact of elastic regular wavy surfaces. Int. J. Mech. Sci. 27, 383–396 (1985)CrossRef
28.
Corbone, G., Bottiglione, F.: Asperity contact theories: Do they predict linearity between contact area and load? J. Mech. Phys. Solids 56, 2555–2572 (2008)CrossRef
29.
Lim, Y.Y., Chaudhri, M.M.: Indentation of elastic solids with rigid cones. Phil. Mag. 84, 2877–2903 (2004)CrossRef
30.
Lim, Y.Y., Chaudhri, M.M.: Indentation of elastic solids with a rigid Vickers pyramid indenter. Mech. Mater. 38, 1213–1228 (2006)CrossRef
31.
ABAQUS. User’s manual version 6.9, Hibbitt, Karlsson and Sorensen Inc., Pawtucket, 2009
32.
Zhong, Z.H.: Contact problems with friction. Proceedings of Numiform 89, Balkema, Rotterdam, 1989, pp. 599–606
33.
Giannakopoulos, A.E., Larsson, P.L., Vestergaard, R.: Analysis of Vickers indentation. Int. J. Solids Struct. 31, 2679–2708 (1994)CrossRef
34.
Larsson, P.L., Söderlund, E., Giannakopoulos, A.E., Rowcliffe, D.J., Vestergaard, R.: Analysis of Berkovich indentation. Int. J. Solids Struct. 33, 221–248 (1996)CrossRef
35.
Xu, Z.H., Li, X.: Effects of indenter geometry and material properties on the correction factor of Sneddon’s relationship for nanoindentation of elastic and elastic–plastic materials. Acta Mater. 56, 1399–1405 (2008)CrossRef
36.
Mesarovic, S.D., Fleck, N.A.: Frictionless indentation of dissimilar elastic–plastic spheres. Int. J. Solids Struct. 37, 7071–7091 (2000)CrossRef
37.
Larsson, P.L.: Modelling of sharp indentation experiments: some fundamental issues. Phil. Mag. 86, 5155–5177 (2006)CrossRef
38.
Larsson, P.L.: Similarity methods for analysing indentation contact problems—Advantages and disadvantages. J. Mater. Proc. Tech. 202, 15–21 (2008)CrossRef
39.
ABAQUS. Theory manual version 6.9, Hibbitt, Karlsson and Sorensen Inc., Pawtucket, 2009
40.
Laursen, T.A., Simo, J.C.: A study of the mechanics of microindentation using finite-elements. J. Mater. Res. 7, 618–626 (1992)CrossRef
41.
Hay, J.C., Bolshakov, A., Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296–22305 (1999)CrossRef
42.
Larsson, P.L., Giannakopoulos, A.E.: Tensile stresses and their implication to cracking at pyramid indentation of pressure-sensitive hard metals and ceramics. Mater. Sci. Eng. A254, 268–281 (1998)
43.
Swaddiwudhipong, S., Hua, J., Tho, K.K., Liu, Z.S.: Equivalency of Berkovich and conical load-indentation curves. Modell. Simul. Mater. Sci. Eng. 14, 71–82 (2006)CrossRef
44.
Antunes, J.M., Menezes, L.F., Fernandes, J.V.: Three-dimensional numerical simulation of Vickers indentation tests. Int. J. Solids Struct. 43, 784–806 (2005)CrossRef
45.
Eriksson, C.L., Larsson, P.L., Rowcliffe, D.J.: Strain-hardening and residual stress effects in plastic zones around indentations. Mater Sci Eng A340, 193–203 (2003)
46.
Jelagin, D., Larsson, P.-L.: Hertzian fracture at finite friction: a parametric study. Wear 265, 840–848 (2008)CrossRef
47.
Hagman, L.A., Olofsson, U.: A model for micro-slip between flat surfaces based on deformation of ellipsoidal elastic asperities—parametric study and experimental investigation. Tribol. Int. 31, 209–217 (1998)CrossRef
48.
Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)CrossRef
Metadaten
Titel
Nonlocal Frictional Effects at Indentation of Elastic Materials
verfasst von
Denis Jelagin
Per-Lennart Larsson
Publikationsdatum
01.09.2013
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 3/2013
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-013-0172-4

Weitere Artikel der Ausgabe 3/2013

Tribology Letters 3/2013 Zur Ausgabe

Original Paper

Thermo-Mixed Hydrodynamics of Piston Compression Ring Conjunction

Original Paper

Tribological Properties of 1-Alkenes on Copper Foils: Effect of Low-Coordination Surface Sites

Original Paper

High Throughput Wear Debris Detection in Lubricants Using a Resonance Frequency Division Multiplexed Sensor

Original Paper

Structural Changes in Tribo-Stressed Zinc Polyphosphates

Original Paper

Frictional Resistance Model of Capsule Endoscope in the Intestine

Original Paper

Spreading Kinetics of Lubricant Droplets on Magnetic Recording Disks

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