An elastic adhesive contact model based on the element-free Galerkin-finite element (EFG-FE) coupling method is presented in this paper. The model is first validated though comparison to theoretical solutions. A numerical simulation of the adhesive contact between a microelastic cylinder and a rigid half-space is then conducted. The adhesive contact characteristics of three metals (Al, Cu, and Fe) are studied at different Tabor parameters. The relationships of the applied load and contact half-width of the adhesive contacts are analyzed. Contact pressures, stress contours and deformed profiles of different cylinder sizes and applied loads are illustrated and discussed. The results are compared to published solutions, and good agreements are observed.
Issue Section:
Research Papers
1.
Ding
, J.-n.
, 2001, “Studies on Mechanical Behaviors of Microfabricated Polysilicon Thin Films and Sticking Problem in MEMS
,” Ph.D. dissertation, Tsinghua University, Beijing.2.
Johnson
, K. L.
, 1998, “Mechanics of Adhesion
,” Tribol. Int.
0301-679X, 31
, pp. 413
–418
.3.
Bradley
, R. S.
, 1932, “The Cohesion Force Between Solid Surfaces and the Surface Energy of Solids
,” Philos. Mag.
0031-8086, 13
, pp. 853
–862
.4.
Derjaguin
, B. V.
, Muller
, V. M.
, and Toprov
, Y. P.
, 1975, “Effect of Contact Deformations on the Adhesion of Particles
,” J. Colloid Interface Sci.
0021-9797, 67
, pp. 314
–326
.5.
Johnson
, K. L.
, Kendall
, K.
, and Roberts
, A. D.
, 1971, “Surface Energy and the Contact of Elastic Solids
,” Proc. R. Soc. London, Ser. A
1364-5021, 324
, pp. 301
–313
.6.
Tabor
, D.
, 1976, “Surface Forces and Surface Interactions
,” J. Colloid Interface Sci.
0021-9797, 58
, pp. 1
–13
.7.
Maugis
, D.
, 1992, “Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model
,” J. Colloid Interface Sci.
0021-9797, 150
, pp. 243
–269
.8.
Johnson
, K. L.
, and Greenwood
, J. A.
, 1997, “An Adhesion Map for the Contact of Elastic Spheres
,” J. Colloid Interface Sci.
0021-9797, 192
, pp. 326
–333
.9.
Kim
, K.
, McMeeking
, R.
, and Johnson
, K.
, 1998, “Adhesion, Slip, Cohesive Zones and Energy Fluxes for Elastic Spheres in Contact
,” J. Mech. Phys. Solids
0022-5096, 46
, pp. 243
–266
.10.
Barquins
, M.
, 1988, “Adherence and Rolling Kinetics of a Rigid Cylinder in Contact With a Natural Rubber Surface
,” J. Adhes.
0021-8464, 26
, pp. 1
–12
.11.
Chaudhury
, M. K.
, Weaver
, T.
, Hui
, C. Y.
, and Kramer
, E. J.
, 1996, “Adhesive Contact of Cylindrical Lens and a Flat Sheet
,” J. Appl. Phys.
0021-8979, 80
, pp. 30
–37
.12.
Baney
, J. M.
, and Hui
, C.-Y.
, 1997, “A Cohesive Zone Model for the Adhesion of Cylinders
,” J. Adhes. Sci. Technol.
0169-4243, 11
(3
), pp. 393
–406
.13.
Morrow
, C. A.
, and Lovell
, M. R.
, 2005, “An Extension to a Cohesive Zone Solution for Adhesive Cylinders
,” ASME J. Tribol.
0742-4787, 127
, pp. 447
–450
.14.
Attard
, P.
, and Parker
, J. L.
, 1992, “Deformation and Adhesion of Elastic Bodies in Contact
,” Phys. Rev. A
1050-2947, 46
, pp. 7959
–7971
.15.
Greenwood
, J. A.
, 1997, “Adhesion of Elastic Spheres
,” Proc. R. Soc. London, Ser. A
1364-5021, 453
, pp. 1277
–1297
.16.
Sridhar
, I.
, Johnson
, K. L.
, and Fleck
, N. A.
, 1997, “Adhesion Mechanics of the Surface Force Apparatus
,” J. Phys. D
0022-3727, 30
, pp. 1710
–1719
.17.
Leng
, Y. S.
, Hu
, Y. Z.
, and Zheng
, L. Q.
, 1999, “Adhesive Contact of Flat-Ended Wedges: Theory and Computer Experiments
,” ASME J. Tribol.
0742-4787, 121
, pp. 128
–132
.18.
Persson
, B. N. J.
, 2002, “Adhesion Between Elastic Bodies With Randomly Rough Surfaces
,” Phys. Rev. Lett.
0031-9007, 89
(24
), pp. 245502
–245502
.19.
Zilberman
, S. B.
, and Persson
, N. J.
, 2002, “Adhesion Between Elastic Bodies With Rough Surfaces
,” Solid State Commun.
0038-1098, 123
(3–4
), pp. 173
–177
.20.
Morrow
, C.
, Lovell
, M.
, and Ning
, X.
, 2003, “A JKR-DMT Transition Solution for Adhesive Rough Surface Contact
,” J. Phys. D
0022-3727, 36
(5
), pp. 534
–540
.21.
Kogut
, L.
, and Etsion
, I.
, 2003, “Adhesion in Elastic-Plastic Spherical Microcontact
,” J. Colloid Interface Sci.
0021-9797, 261
(2
), pp. 372
–378
.22.
Zhao
, Y.-P.
, Wang
, L. S.
, and Yu
, T. X.
, 2003, “Mechanics of Adhesion in MEMS-A Review
,” J. Adhes. Sci. Technol.
0169-4243, 17
(4
), pp. 519
–546
.23.
Suh
, A. Y.
, and Polycarpou
, A. A.
, 2003, “Adhesion and Pull-Off Forces for Polysilicon MEMS Surfaces Using the Sub-Boundary Lubrication Model
,” ASME J. Tribol.
0742-4787, 125
(1
), pp. 193
–199
.24.
Liu
, T.
, Liu
, G.
, and Wang
, Q.
, 2006, “An Element-Free Galerkin-Finite Element Coupling Method for Elasto-Plastic Contact Problems
,” ASME J. Tribol.
0742-4787 (to appear).25.
Hertz
, H.
, 1882, “On the Contact of Elastic Solids
,” J. Reine Angew. Math.
0075-4102, 92
, pp. 156
–171
.26.
Johnson
, K. L.
, 1985, Contact Mechanics
, Cambridge University Press
, Cambridge, UK.27.
Maugis
, D.
, 2000, Contact, Adhesion and Rupture of Elastic Solids
, Springer-Verlag
, Berlin.28.
Belytschko
, T.
, Krongauz
, Y.
, Organ
, D.
, Fleming
, M.
, and Krysl
, P.
, 1996, “Meshless Methods: An Overview and Recent Developments
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 139
, pp. 3
–47
.29.
Belytschko
, T.
, Lu
, Y. Y.
, and Gu
, L.
, 1994, “Element-Free Galerkin Methods
,” Int. J. Numer. Methods Eng.
0029-5981, 37
, pp. 229
–256
.30.
Hoagland
, R. G.
, Daw
, M. S.
, Foiles
, S. M.
, and Baskes
, M. I.
, 1990, “An Atomic Model of Crack Tip Deformation in Aluminum Using an Embedded Atom Potential
,” J. Mater. Res.
0884-2914, 5
(2
), pp. 313
–324
.31.
Foiles
, S. M.
, Baskes
, M. I.
, Daw
, M. S.
, 1986, “Embedded-Atom-Method Functions for the fcc Metals Cu, Ag, Au, Ni, Pd, Pt, and Their Alloys
,” Phys. Rev. B
0163-1829, 33
, pp. 7983
–7991
.32.
Guellil
, A. M.
, and Adams
, J. B.
, 1992, “The Application of the Analytic Embedded Atom Method to bcc Metals and Alloys
,” J. Mater. Res.
0884-2914, 7
(3
), pp. 639
–652
.33.
Yu
, N.
, and Polycarpou
, A. A.
, 2004, “Adhesive Contact Based on the Lennard-Jones Potential: A Correction to the Value of the Equilibrium Distance as Used in the Potential
,” J. Colloid Interface Sci.
0021-9797, 278
, pp. 428
–435
.Copyright © 2006
by American Society of Mechanical Engineers
You do not currently have access to this content.
