Non-uniqueness, eigenvalue solutions and wedged configurations involving coulomb friction

Proceedings of the ASME/STLE International Joint Tribology Conference, IJTC 2004

Volumn , Issue PART A, 2004, Pages 127-132

  Barber, J R ^a   Hild, P ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); LINEAR SYSTEMS; MATHEMATICAL MODELS;

COULOMB FRICTION; FINITE ELEMENT DISCRETIZATIONS; QUASI-STATIC STATES; WEDGED CONFIGURATIONS;

FRICTION;

EID: 21244463178     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/trib2004-64368     Document Type: Conference Paper

References (15)

1. Nečas, J., Jarušek, J., and Haslinger, J., 1980. "On the solution of the variational inequality to the signorini problem with small friction". Boll. Unione Mat. Ital., 17, pp. 796-811.
2. Jarušek, J., 1983. "Contact problems with bounded friction, coercive case". Czechoslovak. Math. J., 33, pp. 237-261.
3. Kato, Y., 1987. "Signorini's problem with friction in linear elasticity". Japan J. Appl. Math., 4, pp. 237-268.
4. Eck, C., and Jarušek, J., 1998. "Existence results for the static contact problem with coulomb friction". Math. Models Methods Appl. Sci., 8, pp. 445-468.
5. Andersson, L.-E., 2000. "Existence results for quasistatic contact problems with coulomb friction". Appl. Math. Optim., 42, pp. 169-202.
6. Rocca, R., and Cocu, M., 2001. "Existence and approximation of a solution to quasistatic signorini problem with local friction". Int. J. Engrg. Sci., 39, pp. 1233-1255.
7. Oden, J., and Pires, E., 1983. "Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity". ASME J. Appl. Mech., 50, pp. 67-76.
8. Haslinger, J., 1983. "Approximation of the signorini problem with friction, obeying the coulomb law". Math. Meth. Appl. Sci., 5, pp. 422-437.
9. Kikuchi, N., and Oden, J., 1988. Contact problems in elasticity: A study of variational inequalities and finite element methods. SIAM, Philadelphia.
10. Klarbring, A., 1984. Contact problems with friction. Doctoral Dissertation, Linkoping University, Linkoping, Sweden.
11. Klarbring, A., 1990. "Examples of non-uniqueness and non-existence of solutions to quasi-static contact problems with friction". Ingenieur-Archiv, 60, pp. 529-541.
12. Hassani, R., Hild, P., Ionescu, I., and Sakki, N.-D., 2003. "A mixed finite element method and solution multiplicity for coulomb frictional contact". Comput. Methods Appl. Mech. Engrg., 192, pp. 4517-4531.
13. Hild, P., 2004. "Non-unique slipping in the coulomb friction model in two-dimensional linear elasticity". Q.J.Mech.Appl.Math., 57, pp. 235-245.
14. Cho, H., and Barber, J., 1998. "Dynamic behavior and stability of simple frictional systems". Mathl. Comput. Modelling, 28, pp. 37-53.
15. Hild, P., 2002. "On finite element uniqueness studies for coulomb's frictional contact model". Int.J.Appl.Math.Comput.Sci., 12, pp. 41-50.