0
RESEARCH PAPERS

An Element-Free Galerkin-Finite Element Coupling Method for Elasto-Plastic Contact Problems

[+] Author and Article Information
Tianxiang Liu, Geng Liu

Department of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, 710072, PR China

Q. Jane Wang

Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208

J. Tribol 128(1), 1-9 (Dec 14, 2005) (9 pages) doi:10.1115/1.1843134 History: Received December 11, 2002; Revised May 12, 2004; Online December 14, 2005
Copyright © 2006 by ASME
Your Session has timed out. Please sign back in to continue.

References

Liu,  G., Wang,  Q., and Liu,  S., 2001, “A Three-Dimensional Thermal-Mechanical Asperity Contact Model for Two Nominally Flat Surfaces in Contact,” ASME J. Tribol., 123, pp. 595–602.
Belytschko,  T., Krongauz,  Y., Organ,  D., Fleming,  M., and Krysl,  P., 1996, “Meshless Methods: An Overview and Recent Developments,” Comput. Methods Appl. Mech. Eng., 139, pp. 3–47.
Lucy,  L. B., 1977, “A Numerical Approach to the Testing of the Fission Hypothesis,” Astron. J., 8, No. 12, pp. 1013–1024.
Belytschko,  T., Lu,  Y. Y., and Gu,  L., 1994, “Element-Free Galerkin Methods,” Int. J. Numer. Methods Eng., 37, pp. 229–256.
Belytschko,  T., Organ,  D., and Krongauz,  Y., 1995, “A Coupled Finite Element-Element-Free Galerkin Method,” Comput. Mech., 17, pp. 186–195.
Melenk,  J. M., and Babuška,  I., 1996, “The Partition of Unity Finite Element Methods: Basic Theory and Applications,” Comput. Methods Appl. Mech. Eng., 139, pp. 91–158.
Liu,  W. K., Jun,  S., and Zhang,  Y. F., 1995, “Reproducing Kernel Particle Methods,” Int. J. Numer. Methods Eng., 20, pp. 1081–1106.
Li,  S., and Liu,  W. K., 1999, “Reproducing Kernel Hierarchical Partition of Unity, Part I-Formulation and Theory,” Int. J. Numer. Methods Eng., 45, pp. 251–288.
Li,  S., and Liu,  W. K., 1999, “Reproducing Kernel Hierarchical Partition of Unity, Part II-Applications,” Int. J. Numer. Methods Eng., 45, pp. 289–317.
Liu,  W. K. , 2000, “Multi-Scale Methods,” Int. J. Numer. Methods Eng., 47, pp. 1343–1361.
Yang,  S. Y. , 2001, “A Meshless Method Using Wavelets,” Applied Electromagnetics (III), JSAEM Studies in Applied Electromagnetics and Mechanics,, 10, pp. 267–270.
Lou,  L. L., and Zeng,  P., 2003, “FE-Meshless Coupling Method for 2D Crack Propagation,” Key Eng. Mater., 233, No. 2, pp. 169–174.
Li, G., and Aluru, N. R., 2003, “Efficient Mixed-Domain Analysis of Electrostatic MEMS,” IEEE/ACM International Conference On CAD-02, Digest of Technical Papers, pp. 474–477.
Belytschko,  T. , 2003, “New Methods for Discontinuity and Crack Modeling in EFG,” Lect. Notes Comput. Sci., 26, pp. 37–50.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Gass, S. I., 1975, Linear Programming Methods and Applications, McGraw-Hill Publishing Company, New York.
Liu,  G., Zhu,  J., Yu,  L., and Wang,  Q., 2001, “Elasto-Plastic Contact of Rough Surfaces,” STLE Tribol. Trans., 44, pp. 437–443.
Monaghan,  J. J., 1982, “Why Particle Methods Work,” SIAM J. Sci. Comput. (USA), 3, No. 4, p. 422.

Figures

Grahic Jump Location
A deformable body in contact with a rigid plane
Grahic Jump Location
Background cell quadrature
Grahic Jump Location
Arrangement of nodes placing in the cylinder. (a) 14-cylinder (model I). (b) 12-cylinder (model II).
Grahic Jump Location
Contact pressures of four cases in the initial analysis
Grahic Jump Location
Numerical results influenced by the number of Gauss integration points. (a) Relative errors of contact pressures. (b) Total calculation time.
Grahic Jump Location
Numerical results influenced by the size of the support of the weight function. (a) Relative errors of contact pressures. (b) Total calculation time.
Grahic Jump Location
Comparison of the relative errors of the von Mises stresses of different selection of dm
Grahic Jump Location
An elasto-plastic stress–strain relationship
Grahic Jump Location
Contact pressures for a cylinder in contact with a rigid plane
Grahic Jump Location
Stress distributions along the depth of the centerline of the cylinder. (a) σy=600 MPa. (b) σy=1200 MPa.
Grahic Jump Location
Contact of a rough surface with a smooth plane analyzed by the OEPP and NEPP models under an applied load of P=50 N/mm. (a) The original surface profile. (b) Nondimensional contact pressures. (c) Nondimensional deformed surfaces.
Grahic Jump Location
Nondimensional contact pressures and von Mises stress contours in the meshless region (applied load; P=50 N/mm, rms roughness: 0.16 μm). (a) From the NEPP model. (b) From the EPLS model (ET=0.1E).
Grahic Jump Location
Nondimensional contact pressures and von Mises stress contours in the meshless region (applied load: P=100 N/mm, rms roughness: 0.16 μm). (a) From the NEPP model. (b) From the EPLS model (ET=0.1E).

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