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
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 7/2019

17.01.2019 | Original

On the plane frictional contact problem of a homogeneous orthotropic layer loaded by a rigid cylindrical stamp

verfasst von: I. Comez, K. B. Yilmaz, M. A. Güler, B. Yildirim

Erschienen in: Archive of Applied Mechanics | Ausgabe 7/2019

Einloggen

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

search-config
loading …

Abstract

In this study, contact problem for a homogeneous orthotropic layer loaded by a rigid cylindrical stamp is considered. The rigid cylindrical stamp slides over the contacting medium whose bottom surface is fixed to the ground in all directions. Using the integral transformation technique, the contact problem is formulated analytically into a singular integral equation. The resulting integral equation is converted to algebraic equations by using Gauss–Jacobi integration formulas and solved numerically. In addition to the analytical formulation, a finite element method (FEM) study is also conducted. The results that are obtained using FEM are compared with the results found using analytical formulation. It is found that the results obtained from analytical formulation and FEM study are in good agreement with each other. The primary intention of this paper is to demonstrate the effects of orthotropic material properties, geometrical properties and the coefficient of friction on the stresses generated due to the sliding motion of the rigid cylindrical stamp. The results of this study may provide benchmark results for engineers to be used in tribology applications involving friction and wear mechanisms.
Vorheriger Artikel Nonlinear vibration and dynamic stability analysis of rotor-blade system with nonlinear supports
Nächster Artikel Post-buckling analysis of FGM plates under in-plane mechanical compressive loading by using a mesh-free approximation

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.
ANSYS: ANSYS Mechanical APDL Modeling and Meshing Guide, p. 15317. ANSYS Inc, Canonsburg, PA (2013)
2.
ANSYS: ANSYS Mechanical APDL Contact Technology Guide, 17th edn, p. 15317. ANSYS Inc., Canonsburg, PA (2016)
3.
ANSYS: ANSYS Mechanical APDL 18.1 Documentation, p. 15317. ANSYS Inc., Canonsburg, PA (2017)
4.
Abhilash, M.N., Murthy, H.: Finite element analysis of 2-d elastic contacts involving fgms. Int. J. Comput. Methods Eng. Sci. Mech. 15(3), 253–257 (2014)CrossRef
5.
Alinia, Y., Beheshti, A., Guler, M.A., El-Borgi, S., Polycarpou, A .A.: Sliding contact analysis of functionally graded coating/substrate system. Mech. Mater. 94(Supplement C), 142–155 (2016)CrossRef
6.
Bagault, C., Nélias, D., Baietto, M.: Contact analyses for anisotropic half space: effect of the anisotropy on the pressure distribution and contact area. Int. J. Solids Struct. 134(3), 031401–031401–8 (2012)
7.
Balci, M.N., Dag, S., Yildirim, B.: Subsurface stresses in graded coatings subjected to frictional contact with heat generation. J. Thermal Stresses 40(4), 517–534 (2017)CrossRef
8.
9.
Binienda, W., Pindera, M.: Frictionless contact of layered metal-matrix and polymer-matrix composite half planes. Compos. Sci. Technol. 50(1), 119–128 (1994)CrossRef
10.
Blazquez, A., Mantič, V., París, F.: Application of bem to generalized plane problems for anisotropic elastic materials in presence of contact. Eng. Anal. Bound. Elements 30(6), 489–502 (2006)CrossRefMATH
11.
Chidlow, S., Teodorescu, M.: Two-dimensional contact mechanics problems involving inhomogeneously elastic solids split into three distinct layers. Int. J. Eng. Sci. 70(Supplement C), 102–123 (2013)MathSciNetCrossRefMATH
12.
Chidlow, S., Teodorescu, M.: Sliding contact problems involving inhomogeneous materials comprising a coating-transition layer-substrate and a rigid punch. Int. J. Solids Struct. 51(10), 1931–1945 (2014)CrossRef
13.
Chidlow, S., Chong, W., Teodorescu, M.: On the two-dimensional solution of both adhesive and non-adhesive contact problems involving functionally graded materials. Eur. J. Mech. A/Solids 39(Supplement C), 86–103 (2013)MathSciNetCrossRefMATH
14.
Choi, H.J.: On the plane contact problem of a functionally graded elastic layer loaded by a frictional sliding flat punch. J.Mech. Sci. Technol. 23(10), 2703–2713 (2009)CrossRef
15.
Choi, H.J., Paulino, G.H.: Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation. J. Mech. Phys. Solids 56(4), 1673–1692 (2008)MathSciNetCrossRefMATH
16.
Choi, H.J., Thangjitham, S.: Stress analysis of multilayered anisotropic elastic media. J. Appl. Mech. 58, 382–387 (1991)CrossRefMATH
17.
Chong, W., Chidlow, S.: Analysing the effects of sliding, adhesive contact on the deformation and stresses induced within a multi-layered elastic solid. Mech. Mater. 101(Supplement C), 1–13 (2016)CrossRef
18.
Dag, S., Guler, M.A., Yildirim, B., Ozatag, A.C.: Sliding frictional contact between a rigid punch and a laterally graded elastic medium. Int. J. Solids Struct. 46(22), 4038–4053 (2009)CrossRefMATH
19.
Demirhan, N., Kanber, B.: Finite element analysis of frictional contacts of fgm coated elastic members#. Mech. Based Des. Struct. Mach. 41(4), 383–398 (2013)CrossRef
20.
England, A .H.: Complex and Variable Methods in Elasticity. Wiley, Hoboken (1971)MATH
21.
Erbas, B., Yusufoğlu, E., Kaplunov, J.: A plane contact problem for an elastic orthotropic strip. J. Eng. Math. 70(4), 399–409 (2011)MathSciNetCrossRefMATH
22.
Erdogan, F., Delale, F.: The problem of internal and edge cracks in an orthotropic strip. J. Appl. Mech. 44(2), 237–242 (1978)MATH
23.
Guler, M.A.: Closed-form solution of the two-dimensional sliding frictional contact problem for an orthotropic medium. Int. J. Mech. Sci. 87(Supplement C), 72–88 (2014)CrossRef
24.
Guler, M.A., Gulver, Y.F., Nart, E.: Contact analysis of thin films bonded to graded coatings. Int. J. Mech. Sci. 55(1), 50–64 (2012)CrossRef
25.
Guler, M.A., Kucuksucu, A., Yilmaz, K., Yildirim, B.: On the analytical and finite element solution of plane contact problem of a rigid cylindrical punch sliding over a functionally graded orthotropic medium. Int. J. Mech. Sci. 120(Supplement C), 12–29 (2017)CrossRef
26.
He, L., Ovaert, T.C.: Three-dimensional rough surface contact model for anisotropic materials. J. Tribol. 130(2), 021402 (2008)CrossRef
27.
Hertz, H. R.: Über die berührung fester elastischer körper und über die härte. Verhandlungen des Vereins zur Beförderung des Gewerbfleis̈es, Berlin : Verein zur Beförderung des Gewerbefleisses 1882, 449–463 (1896)
28.
Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (2012)
29.
Ke, L.-L., Wang, Y.-S.: Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties. Int. J. Solids Struct. 43(18), 5779–5798 (2006)CrossRefMATH
30.
Ke, L.-L., Wang, Y.-S.: Two-dimensional sliding frictional contact of functionally graded materials. Eur. J. Mech. A/Solids 26(1), 171–188 (2007)CrossRefMATH
31.
Keer, L., Mowry, D.: The stress field created by a circular sliding contact on transversely isotropic spheres. Int. J. Solids Struct. 15(1), 33–39 (1979)CrossRefMATH
32.
Krenk, S.: On the elastic constants of plane orthotropic elasticity. J. Compos. Mater. 13(2), 108–116 (1979)CrossRef
33.
Kucuksucu, A., Guler, M., Avci, A.: Closed-form solution of the frictional sliding contact problem for an orthotropic elastic half-plane indented by a wedge-shaped punch. Key Eng. Mater. 618, 203–225 (2014)CrossRef
34.
Lekhnitskii, S.G.: Theory of Elasticity of an Anisotropic Elastic Body (Holden-Day Series in Mathematical Physics). Tbh/Yes Dee, Chennai (1963). Please check and confirm the inserted publisher location is correct for the reference [34] and amend if necessary
35.
36.
Muskhelishvili, N.I.: Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics (Dover Books on Mathematics). Dover Publications, Mineola (2011)
37.
Muskhelishvili, N.I.: Some Basic Problems of the Mathematical Theory of Elasticity. Springer, Netherlands (2013)
38.
Pagano, N.: Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater. 4(1), 20–34 (1970)CrossRef
39.
Popov, V.: Contact Mechanics and Friction: Physical Principles and Applications, 1st edn. Springer, Berlin (2010)CrossRefMATH
40.
Rodriguez, N., Masen, M., Schipper, D.: A contact model for orthotropic-viscoelastic materials. Int. J. Mech. Sci. 74(Supplement C), 91–98 (2013)CrossRef
41.
Rodríguez-Tembleque, L., Buroni, F., Abascal, R., Sáez, A.: 3d frictional contact of anisotropic solids using bem. Eur. J. Mech. A/Solids 30(2), 95–104 (2011)MathSciNetCrossRefMATH
42.
Shi, D., Lin, Y., Ovaert, T.C.: Indentation of an orthotropic half-space by a rigid ellipsoidal indenter. J. Tribol. 125(2), 223–231 (2003)CrossRef
43.
Sneddon, I .N.: Fourier Transforms. Dover Publications Inc, Mineola (1951)MATH
44.
Spence, D.A.: The hertz contact problem with finite friction. J. Elast. 5(3), 297–319 (1975)CrossRefMATH
45.
Srinivas, S., Rao, A.: Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Struct. 6, 1463–1481 (1970)CrossRefMATH
46.
Swanson, S.R.: Hertzian contact of orthotropic materials. Int. J. Solids Struct. 41, 1945–1959 (2004)CrossRefMATH
47.
Turner, J.: Contact on a transversely isotropic half-space, or between two transversely isotropic bodies. Int. J. Solids Struct. 16, 409–419 (1966)MathSciNetCrossRefMATH
48.
49.
Yang, B., Pan, E.: Three-dimensional green’s functions in anisotropic trimaterials. Int. J. Solids Struct. 39(8), 2235–2255 (2002)CrossRefMATH
50.
Zhou, Y.T., Lee, K.Y.: Exact solutions of a new, 2d frictionless contact model for orthotropic piezoelectric materials indented by a rigid sliding punch. Philos. Mag. 92(15), 1937–1965 (2012)CrossRef
Metadaten
Titel
On the plane frictional contact problem of a homogeneous orthotropic layer loaded by a rigid cylindrical stamp
verfasst von
I. Comez
K. B. Yilmaz
M. A. Güler
B. Yildirim
Publikationsdatum
17.01.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 7/2019
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01511-6

Weitere Artikel der Ausgabe 7/2019

Archive of Applied Mechanics 7/2019 Zur Ausgabe

Original

Modal characterization with nonlinear behaviors of a two-link flexible manipulator

Original

The influence of surface stress and surface-induced internal residual stresses on the size-dependent behaviors of Kirchhoff microplate

Original

Dynamic fracture of a nano-cracked finite exponentially inhomogeneous piezoelectric solid

Original

Post-buckling analysis of FGM plates under in-plane mechanical compressive loading by using a mesh-free approximation

Original

Exact analysis of imperfect angle-ply laminated panels with surface-bonded piezoelectric layers

Original

A holistic approach for local buckling of composite laminated beams under compressive load

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