Numerical analyses on elliptical adhesive contact

Journal of Physics D: Applied Physics

Volumn 39, Issue 9, 2006, Pages 1899-1907

  Wu, Jiunn Jong ^a  

^a CHINESE CULTURE UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESIVE JOINTS; FAST FOURIER TRANSFORMS; MATRIX ALGEBRA; NUMERICAL ANALYSIS;

ELLIPTICAL ADHESIVE CONTACT; MATRIX MULTIPLICATION; RADII OF CURVATURE; TABOR PARAMETER;

HIGH ENERGY PHYSICS;

EID: 33646406582     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/39/9/027     Document Type: Article

References (23)

1. Bhushan B (ed) 1999 Handbook of Micro/Nano Tribology 2nd edn (Boca Raton. FL: CRC Press)
2. Johnson K L. Kendall K and Robert A D 1971 Surface energy and the contact of elastic solids Proc. R. Soc. Land. A 324 301-13
3. Derjaguin B V, Muller V M and Toporov Y P 1975 Effect of contact deformations on the adhesion of particles J. Colloid Interface Sci. 53314-26
4. Muller V M, Derjaguin B V and Toporov Y P 1983 On two methods of calculation of the force of sticking of an elastic sphere to a rigid plane Colloids Surf. 7 251-9
5. Tabor D 1977 Surface forces and surface interactions J. Colloid Interface Sci. 58 2-3
6. Maugis D 1992 Adhesion of spheres: the JKR-DMT transition using a Dugdale model J. Colloid Interface Sci. 150 243-69
7. Muller V M, Yushchenko V S and Derjaguin B V 1980 On the influence of molecular forces on the deformation of an elastic sphere and its sticking to a rigid plane J. Colloid Interface Sci. 7791-101
8. Attard P and Parker J L 1992 Deformation and adhesion of elastic bodies in contact Phys. Rev. A 46 7959-71
9. Greenwood J A 1997 Adhesion of elastic spheres Proc. R. Soc. Land. A 453 1277-97
10. Feng J Q 2000 Contact behavior of spherical elastic particles: a computational study of particle adhesion and deformations Colloids Surf. A: Physicochem, Eng. Aspects 172 175-98
11. Keller H B 1977 Numerical solution of bifurcation and non-linear eigenvalue problems Applications of Bifurcation Theory ed P Rabinowitz (New York: Academic Press) pp 359-84
12. Keller H B 1983 The bordering algorithm and path following near singular points of high nullity SIAM J. Sci. Stat. Comput. 4 573-82
13. Feng J Q 2001 Adhesive contact of elastically deformable spheres: a computational study of pull-off force and contact radius J. Colloids Interface Sci. 238 318-23
14. Yang F 2005 Adhesive contact between an elliptical rigid flat-ended punch and an elastic half space J. Phrs. D: Appl. Phys. 38 1211-4
15. Johnson K L and Greenwood J A 2005 An approximate JKR theory for elliptical contacts J. Phys. D: Appl. Phys. 38 1042-6
16. Liu S, Wang Q and Liu G 2000 A versatile method of discrete convolution and FFT (DC-FFT) for contact analyses Wear 243 101-10
17. Van Der Vorst H A 1992 Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SIAM J. Sci. Stat. Comput. 13 631-44
18. Benzi M 2002 Preconditioning techniques for large linear systems: a survey J. Comput. Phys. 182 418-77
19. Johnson K L 1985 Contact Mechanics (Cambridge: Cambridge University Press)
20. Derjaguin B V 1934 Untersuchungen uber die reibung und adhasion. IV. Theorie des anhaftens kleiner teilchen Kolloid Z. 69 155-64
21. Love A E H 1929 The stress produced in a semi-infinite solid by pressure on part of the boundary Phil. Trans. R. Soc. Land. A 228 377-1-20
22. Dembo R S. Stanley C E. Eisenstat C and Steihaug T 1982 Inexact Newton methods SIAM J. Numer. Anal. 19 400-8
23. Kelley C T 1995 Iterative Methods for Linear and Nonlinear Equations Number 16 in Frontiers in Applied Mathematics (Philadelphia. PA: SIAM Publications)