Discontinuity of quasi-static solution in the two-node Coulomb frictional system

International Journal of Solids and Structures

Volumn 47, Issue 21, 2010, Pages 2866-2871

  Ahn, Young Ju ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Coulomb friction; Discontinuity; Quasi static problem

Indexed keywords

COMPLEX DYNAMICS; COULOMB FRICTIONS; DAMPING MATRICES; DISCONTINUITY; FINAL STATE; NONUNIQUENESS; QUASI-STATIC; QUASI-STATIC CONTACTS; QUASI-STATIC EVOLUTION; QUASISTATIC PROBLEMS; SLIP DISPLACEMENTS; TRANSIENT EVOLUTION;

DAMPING; EVOLUTIONARY ALGORITHMS; TRIBOLOGY;

FRICTION;

EID: 77955710719     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.06.007     Document Type: Article

References (21)

1. G.G. Adams Self-excited oscillations in sliding with a constant friction coefficient - a simple model ASME Journal of Tribology 118 1996 819 823
2. Y.J. Ahn, E. Bertocchi, and J.R. Barber Shakedown of coupled two-dimensional discrete frictional systems Journal of the Mechanics and Physics of Solids 56 2008 3433 3440
3. L.-E. Andersson, and A. Klarbring A review of the theory of static and quasi-static frictional contact problems in elasticity Philosophical Transactions of the Royal Society of London 359 2001 2519 2539
4. Barber, J.R., Ahn, Y.J., 2009. Discrete Coulomb frictional systems subjected to periodic loading. In: CMIS09, 5th Contact Mechanics International Symposium.
5. J.R. Barber, and P. Hild On wedged configurations with Coulomb friction Wriggers Peter, Nackenhorst Udo, Analysis and Simulation of Contact Problems 2006 Springer-Verlag Berlin 205 213
6. H. Cho, and J.R. Barber Dynamic behavior and stability of simple frictional systems Mathematical and Computer Modeling 28 1998 37 53
7. J. Haslinger Approximation of the signorini problem with friction, obeying the Coulomb law Mathematical Methods in the Applied Science 5 1983 422 437
8. R. Hassani, P. Hild, I.R. Ionescu, and N.-D. Sakki A mixed finite element method and solution multiplicity for Coulomb frictional contact Computer Methods in Applied Mechanics and Engineering 192 2003 4517 4531
9. Janovský, V., 1980. Catastrphic features of Coulomb friction model. Technical report KNM-0105044/80, Charles University, Prague.
10. Janovský, V., 1981. Catastrphic features of Coulomb friction model. In: Whiteman, J.R. (Ed.), The Mathematics of Finite Elements and Applications, pp. 259-264.
11. N. Kikuchi, and J.T. Oden Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods 1988 SIAM Philadelphia
12. A. Klarbring Contact problems with friction by linear complementarity G. Del Piero, F. Maceri, Unilateral Problems in Structural Analysis vol. 2 1987 Springer 197 219
13. A. Klarbring Examples of non-uniqueness and non-existence of solutions to quasi-static contact problems with friction Ingenieur-Archiv 60 1990 529 541
14. A. Klarbring Contact, friction, discrete mechanical structures and mathematical programming P. Wrigers, P. Panagiotopoulos, New Developments in Contact Problems 1999 Springer 55 100
15. A. Klarbring, M. Ciavarella, and J.R. Barber Shakedown in elastic contact problems with Coulomb friction International Journal of Solids and Structures 44 2007 8355 8365
16. S.S. Law, Z.M. Wu, and S.L. Chan Analytical model of a slotted bolted connection element and its behaviour under dynamic load Journal of Sound and Vibration 292 2006 777 787
17. J.A.C. Martins, M.D.P. Montiero Marques, and F. Gastaldi On an example of non-existence of solution to a quasistatic frictional contact problem European Journal of Mechanics A/Solids 13 1994 113 133
18. J.A.C. Martins, F.M.F. Simoes, F. Gastaldi, and M.D.P. Monteiro Marques Dissipative graph solutions for a 2 degree-of-freedom quasistatic frictional contact problem International Journal of Engineering Science 33 1995 1959 1986
19. J.A.C. Martins, J. Guimaraes, and L.O. Faria Dynamic surface solutions in linear elasticity and viscoelasticity with frictional boundary conditions Journal of Vibration Acoustics 117 1995 445 451
20. H. Murthy, G. Harish, and T.N. Farris Efficient modeling of fretting of blade/disk contacts including load history effects ASME Journal of Tribology 126 2004 56 64 (Pubitemid 38242299)
21. J.T. Oden, and E.B. Pires Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity ASME Journal of Applied Mechanics 50 1983 67 76