0
RESEARCH PAPERS

Finite Element Analysis of a Contact With Friction Between an Elastic Body and a Thin Soft Layer

[+] Author and Article Information
Vannina Linck

INSA de Lyon, LaMCoS, UMR 5514 INSA-CNRS, Avenue Einstein, 69621 Villeurbanne Cedex, Francee-mail: vannina.linck@insa-lyon.fr

Guy Bayada

INSA de Lyon, LaMCoS, UMR 5514 INSA-CNRS, and MAPLY, UMR 5585 INSA-CNRS, Avenue Einstein, 69621 Villeurbanne Cedex, France

Laurent Baillet

INSA de Lyon, LaMCoS, UMR 5514 INSA-CNRS, Avenue Einstein, 69621 Villeurbanne Cedex, France

Taoufik Sassi

UFR Sciences Campus II, Laboratoire Mathématiques Nicolas Oresme, Bd du Marechal Juin, 14032 CAEN Cedex, France

Jalila Sabil

INSA de Lyon, MAPLY, UMR 5585 INSA-CNRS, Avenue Einstein, 69621 Villeurbanne Cedex, France

J. Tribol 127(3), 461-468 (Jun 13, 2005) (8 pages) doi:10.1115/1.1866170 History: Received October 21, 2004; Revised November 17, 2004; Online June 13, 2005
Copyright © 2005 by ASME
Your Session has timed out. Please sign back in to continue.

References

Godet,  M., 1984, “The Third Body Approach: A Mechanical View of Wear,” Wear, 100, pp. 437–452.
Descartes,  S., and Berthier,  Y., 2002, “Rheology and Flows of Solid Third Bodies: Background and Application to an MoS1.6 Coating,” Wear, 252, pp. 546–556.
Chen,  W. T., and Engel,  P. A., 1972, “Impact and Contact Stress Analysis in Multilayer Media,” Int. J. Solids Struct., 8, pp. 1257–1281.
King,  R. B., and O’Sullivan,  T. C., 1987, “Sliding Contact Stresses in a Two-Dimensional Layered Elastic Half-Space,” Int. J. Solids Struct., 23, pp. 581–597.
Walowit,  J. A., and Pinkus,  O., 1982, “Effect of Friction Between Cylinders and Rubber Staves of Finite Thickness,” ASME J. Lubr. Technol., 104, pp. 255–261.
Tian,  H., and Saka,  N., 1991, “Finite Element Analysis of an Elastic-Plastic Two-Layer Half-Space: Normal Contact,” Wear, 148, pp. 47–68.
Komvopoulos,  K., 1988, “Finite Element Analysis of a Layered Elastic Solid in Normal Contact With a Rigid Surface,” ASME J. Tribol., 110, pp. 447–485.
Kral,  E. R., and Komvopoulos,  K., 1997, “Three-Dimensional Finite Element Analysis of Subsurface Stress and Strain Fields Due to Sliding Contact on an Elastic-Plastic Layered Medium,” ASME J. Tribol., 119, pp. 332–341.
Bayada,  G., and Lhalouani,  K., 2001, “Asymptotic and Numerical Analysis for Unilateral Contact Problem With Coulomb’s Friction Between an Elastic Body and a Thin Elastic Soft Layer,” Asymptotic Anal., 25, pp. 329–362.
Bayada, G., Chambat, M., Lhalouani, K., and Licht, C., 1994, “Third Body Theoretical and Numerical Behavior,” in Dissipative Processes in Tribology, Proc. of the 1993 Leeds-Lyon Symposium, pp. 415–421.
Kikuchi, N., and Oden, J. T., 1988, “Contact Problems in Elasticity. A Study of Variational Inequalities and Finite Element Methods,” SIAM, Philadelphia.
Baillet,  L., and Sassi,  T., 2002, “Finite Element Method With Lagrange Multipliers for Contact Problems With Friction,” C. R. Acad. Sci., Ser. I: Math., 334, pp. 917–922.
Zhong, Z.-H. 1993, Finite Element Procedures for Contact-Impact Problems, Oxford University Press, Oxford.
Klarbring,  A., 1991, “Derivation of a Model of Adhesively Bonded Joints by the Asymptotic Expansion Method,” Int. J. Eng. Sci., 4(29), pp. 493–512.
Seeger, R. J., and Templer, G., 1965, Research Frontiers in Fluid Dynamics, Interscience Publishers, New York.
Cole, J. D., 1968, Perturbation Methods in Applied Mathematics, Blaisdell, Waltham, MA.
Van Dyke, M., 1964, Perturbation Methods in Fluid Mechanics, Academic Press, New York.
Linck,  V., Baillet,  L., and Berthier,  Y., 2003, “Modeling the Consequences of Local Kinematics of the First Body on Friction and on Third Body Sources in Wear,” Wear, 255, pp. 299–308.
Carpenter,  N. J., Taylor,  R. L., and Katona,  M. G., 1991, “Lagrange Constraints for Transient Finite Element Surface Contact,” Int. J. Numer. Methods Eng., 32, pp. 103–128.
Bathe, K. J., 1982, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.

Figures

Grahic Jump Location
Definition of the initial problem
Grahic Jump Location
Equivalent method when the ratio of thickness ε tends towards 0. (a) Case 1: Elastic body and thin elastic layer. Contact algorithm uses a forward incremental Lagrange multiplier method. (b) Case 2: Elastic body and rigid body. Contact algorithm uses a penalty method with a specific contact law.
Grahic Jump Location
Model and boundary conditions. (a) Case 1: Elastic body and elastic thin layer. (b) Case 2: Elastic body and rigid body with a specific contact law.
Grahic Jump Location
Mesh validation: normal contact stress for different mesh at the end of the movement. (a) Case 1: Elastic body and elastic thin layer. (b) Case 2: Elastic body and rigid body with a specific contact law.
Grahic Jump Location
Convergence process: normal contact stress at the end of the movement for different thicknesses of the elastic layer (case 1)
Grahic Jump Location
Specific contact law validation: normal contact stress at the end of the movement for thin elastic layers (case 1) and the specific contact law (case 2)
Grahic Jump Location
Convergence process: trajectory of the center node A during impact for different thicknesses of the elastic layer (case 1)
Grahic Jump Location
Convergence process: normal contact stress at maximum penetration for different thicknesses of the elastic layer (case 1)
Grahic Jump Location
Specific contact law validation: trajectory of the center node A during impact for thin elastic layers (case 1) and the specific contact law (case 2)
Grahic Jump Location
Specific contact law validation: normal contact stress at maximum penetration for thin elastic layers (case 1) and the specific contact law (case 2)
Grahic Jump Location
Trajectory of the center node A for different friction coefficients with a 0.3 mm thick elastic layer (case 1) and the specific contact law (case 2) during impact
Grahic Jump Location
Trajectory of the center node A for different impact angles with a 0.3 mm thick elastic layer (case 1) and the specific contact law (case 2) during impact

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In