Contacto elastoplástico entre superficies rugosas con distribución de Gauss y exponencial

  1. A. Sánchez-Rodríguez 1
  2. J.S. Echeverría-Villagómez 2
  3. R. Lesso-Arroyo 3
  4. F.J. García-Rodríguez 3
  5. R. Salas-Zuñiga 4
  1. 1 Centro de Ingeniería y Desarrollo Industrial (CIDESI)
  2. 2 Instituto Tecnológico de Celaya
  3. 3 Instituto Tecnológico de Celaya, Departamento de Ingeniería Mecánica
  4. 4 Centro de Desarrollo de Tecnología (CIDET)
Journal:
Ingeniería, investigación y tecnología

ISSN: 1405-7743 2594-0732

Year of publication: 2012

Volume: 13

Issue: 3

Type: Article

More publications in: Ingeniería, investigación y tecnología

Abstract

In order to model the elastic-plastic contact between rough surfaces, the exponential probabilistic distribution function of asperity heights, proposed by Greenwood and Williamson (1966), is analyzed as an approach of the Gaussian distribution function, and it is found to be impractical in most studied cases. The exponential probabilistic distribution modified function proposed by Polycarpou and Etsion (1999) is applied to the recent model of elastic-plastic contact of Kogut and Etsion (2004), to facilitate the calculations in obtaining the contact parameters (real area, normal load and mean pressure) using Simpson square method subroutines showing results with a minimum error in the order of 2.2%. The results show that it is possible to simplify the modeling and simulation of more complex contact cases and the determination of other parameters of contact.

Bibliographic References

  • Bush, A.W.,Gibson, R.D.,Thomas, T.R.
  • Bhushan, B. (1996). Contact Mechanics of Rough Surfaces in Tribology: Single Asperity Contact.. Appl. Mech. Rev.. 49. 275-298
  • Bhushan, B. (1998). Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contact. Tribol. Lett.. 4. 1-35
  • Chang, W.R.,Etsion, I.,Bogy, D.B. (1987). An Elastic-Plastic Model for the Contact of Rough Surfaces. ASME Journal Tribology. 109. 257-263
  • Francis, H.A. (1977). Application of Spherical Indentation Mechanics to Reversible and Irreversible Contact between Rough Surface. Wear. 45. 221-269
  • Giannakopoulos, A.E. (2000). Strength Análysis of Spherical Indentation of Piezoelectric Materials. ASME J. Appl. Mech.. 67. 409-416
  • Greengood, J.A.,Tripp, J.H. (1967). The Elasctic Contac of Rough Spheres.. ASME Journal of Appl. Mech.. 34. 153-159
  • Greengood, J.A.,Tripp, J.H. (1970). The Contac of Two Nominally Flat Rough Surfaces. Proc. Instn. Mech. Engrs. 185. 625-633
  • Greenwood, J.A.,Williamson, J.B.P. (1966). Contact of Nominally Flat Surfaces. Proc. Roy. Soc. 295. 300-319
  • Hardy, C.,Baronet, C.N.,Tordion, G.V. (1971). The Elastoplastic Indentation of a Half-Space by a Rigid Sphere. Int. J. Numer. Methods Engs.. 3. 451-462
  • Hertz H., J. (1881). Reine Angew. Math.. 92.
  • Hisakado, T. (1974). Effects of Surface Roughness on Contact between Solid Surfaces.. Wear. 28. 217-234
  • Ishigaki, H.,Kawaguchi, I.,Mizuta, S. (1979). A Simple Estimation of the Elastic-Plastic Deformation Asperities. Wear. 54. 157-164
  • Kogut, E.I. (2002). Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat. ASME Journal Appl. Mech.. 69. 657-662
  • Kogut, L.,Etsion, I. (2003). A Finite Element Based Elastic-Plastic Model for the Contact of Rough Surfaces. Tribol. Trans.. 46. 383-390
  • Kogut, L.,Etsion, I. (2004). A Static Friction Model for Elastic-Plastic Contacting Rough Surfaces. ASME Journal of Tribology. 126. 34-40
  • Kral, E.R.,Komvoupolus, K.,Bogy, D.B. (1993). Elástic-Plastic Finite Element Analysis of Repeated Indentation of Half-Space y a Rigid Sphere. ASME Journal Appl. Mech.. 60. 829-841
  • Kuchasrski, S.,Klimezak, T.,Polijaniuk, A.,Kaczmarek, J. (1994). Finite Element Model for the Contact of Rough Surfaces. Wear. 177. 1-13
  • Mendelson, A. (1968). Plasticity: Theory and application.
  • Mesarovic, S.D.,Fleck, N.A. (2000). Frictionless Indentation of Disimilar Elasctic-Plastic Spheres. Int. J. Solid Struct.. 37. 7071-7091
  • McCool, J.I. (1986). Predicting Microfracture in Ceramic Via a Microcontac Model. ASME Journal of Tribology. 380-386
  • Nayak, P.R. (1971). Random Process Model Of Rough Surfaces. ASME Journal of Lubrication of Technology. 93. 398-407
  • Polycarpou, A.A.,Etsion, I. (1999). Analytical Approximations in Modeling Contacting Rough Surfaces. ASME Journal of Tribology. 121. 234-239
  • Pullen, F.,Williamson, F.B.P. (1972). On the Plastic Contact of Rough Surfaces. Proc. Roy. Soc.. 59-173
  • Tabor, D. (1981). Friction-The Present State of our Understanding. ASME Journal Lubr. Technol.. 103. 169-179
  • Vu-Wuoc, L.,Zhang, X.,Lesburg, L. (2000). A Normal Force-Displacement Model for Contacting Sphere Accounting for Plastic Deformation: Force-Driven Formulation. ASME J. Appl. Mech.. 67. 363-371
  • Zhao, Y.,Mietta, D.M.,Chang, L. (2000). An Asperity Microcontact Model Incorporation the Transition from Elastic Deformation to Fully Plastic Flow. ASME Journal Tribology. 122. 86-93