BEM solution of two-dimensional contact problems by weak application of contact conditions with non-conforming discretizations

International Journal of Solids and Structures

Volumn 35, Issue 24, 1998, Pages 3259-3278

  Blazquez A ^a   Paris F ^a   Mantic V ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; FRICTION; INTEGRAL EQUATIONS; LOADS (FORCES); MATHEMATICAL MODELS; PROBLEM SOLVING;

BOUNDARY INTEGRAL EQUATIONS; CONTACT STRESSES; COULOMB MODEL;

STRESSES;

EID: 0032131882     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00016-X     Document Type: Article

References (31)

1. Andersson, T., Fredriksson, B. and Allan Persson, B. G. (1980) The boundary element method applied to two-dimensional contact problems. New Developments in Boundary Elements Methods, pp. 239-258. CMP, Southampton.
2. Andersson, T. (1982) The boundary element method applied to two-dimensional contact problem with friction. Boundary Elements Methods, pp. 239-258. Springer, Berlin.
3. Andersson, T. and Allan-Persson, B. G. (1983) The boundary element method applied to two-dimensional contact problems. Chap. 5. In Progress in Boundary Element Methods 2, 136-157. C. A. Brebbia, Pentech Press.
4. Bathe, K. J. and Chaudhary, A. (1985) A solution method for planar and axisymmetric contact problems. International Journal for Numerical Methods in Engineering 21, 65-88.
5. Blázquez, A. and París, F. (1997) Influence of the location of the contact point in node-to-point contact approaches using non-conforming boundary element discretizations. Contact Mechanics '97. Proceedings of the 3rd International Conference, ed. M. H. Aliabadi and A. Samartin, pp. 91-100. CMP, Southampton.
6. Blázquez, A., París, F. and Cañas, J. (1997) Interpretation of the problems found in applying contact conditions in node-to-point schemes with boundary element non-conforming discretizations. Accepted for publication in Engng. Anal. Boundary Elements.
7. Blázquez, A., París, F., Cañas, J. and Garrido, J. A. (1992) An algorithm for frictionless contact problems with non-conforming discretizations using BEM. 14th International Conference on Boundary Element, BEM XIV, ed. C. A. Brebbia, J. Domínguez and F. París, pp. 409-420. Sevilla, Spain.
8. Chan, S. K. and Tuba, I. S. (1971) A finite element method for contact problems of solid bodies I. Theory and validation. Int. J. Mech. Sci. 13, 615-625.
9. Foces, A., Garrido, J. A. and París, F. (1993) Three-dimensional contact using BEM. Computational Method in Contact Mechanics, ed. M. H. Aliabadi and C. A. Brebbia, pp. 191-232. CMP, Southampton.
10. Fredriksson, B. (1976) Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problems. Comput. and Struct. 6, 281-290.
11. Garrido, J. A., Foces, A. and París, F. (1991) Three dimensional frictional conforming contact using BEM, Boundary Elements XIII, pp. 663-676. CMP, Elsevier Applied Science.
12. Garrido, J. A., Foces, A. and París, F. (1991) BEM applied to receding contact problems with friction. Math. Comput. Modell. 15, 143-154.
13. Gladwell, G. M. L. (1980) Contact Problems in the Classical Theory of Elasticity, ed. Sijthoff and Nordhoff.
14. Hertz, H. (1896) Miscellaneous Papers on the Contact of Elastic Solids. Translation by D. E. Jones. McMillan, London.
15. Huesmann, A. and Kuhn, G. (1994) Non-conform discretisation of the contact region applied to two-dimensional Boundary Element Method. Boundary Elem. Meth. XVI. ed. C. A. Brebbia, pp. 353-360.
16. Johnson, K. L. (1985) Contact Mechanics. Cambridge University Press, Cambridge, U.K.
17. Klarbring, A. and Björkman, G. (1992) Solution of large displacement contact problems with friction using Newton's method for generalized equations. International Journal for Numerical Methods in Engineering 34, 249-269.
18. Man, K. W., Aliabadi, M. H. and Rooke, D. P. (1992) A fully load-incremental contact analysis for cracked structures. Boundary Element XIV, ed. C. A. Brebbia, J. Domínguez and F. París, pp. 277-298. CMP.
19. Man, K. W., Aliabadi, M. H. and Rooke, D. P. (1993) BEM frictional contact analysis: modelling considerations. Engng. Anal. Boundary Elements 11, 77-85.
20. Oden, J. T. and Pires, E. B. (1984) Algorithms and numerical results for finite element approximations of contact problems with non-classical friction laws. Comput. and Struct. 19, 137-147.
21. Okamoto, N. and Nakazawa, M. (1979) Finite element incremental contact analysis with various frictional conditions. Internationaljournal for Numerical Methods in Engineering 14, 337-357.
22. Olukoko, O. A., Becker, A. A. and Fenner, R. T. (1993) A new boundary element approach for contact problems with friction. International Journal for Numerical Methods in Engineering 36, 2625-2642.
23. París, F., Garrido, J. A. and Foces, A. (1994) An incremental procedure for three-dimensional contact problems with friction. Comput. and Struct. 50, 201-215.
24. París, F. and Garrido, J. A. (1988) Friction muiticontact problems with BEM. Boundary Elements X, Proceedings of the 10th International Conference, ed. C. A. Brebbia. CMP, Southampton.
25. París, F. and Blázquez, A. (1994) On the displacement and load scaling techniques in contact problems using BEM. Boundary Elements Communications 5, 15-17.
26. París, F. and Cañas, J. (1997) Boundary Element Method. Fundamentals and Applications. Oxford University Press.
27. París, F. and Garrido, J. A. (1985) On the use of discontinuous elements in two dimensional contact problems. Boundary Elements VII, ed. Brebbia and Maier, 2, 1327-1330. Springer, Berlin.
28. París, F. and Garrido, J. A. (1989) An incremental procedure for friction contact problems. Engng. Anal. Boundary Elements 6, 202-213.
29. París, F., Blázquez, A. and Cañas, J. (1995) Contact problems with non-conforming discretizations using boundary element method. Comput. and Struct. 57, 829-839.
30. Schnack, E. (1987) A hybrid BEM model. International Journal for Numerical Methods in Engineering 24, 1015-1025.
31. Takahashi, S. and Brebbia, C. A. (1988) Analysis of contact problems in elastic bodies using a BEM flexibility approach. Boundary Elements X, pp. 353-380. CMP, Springer, Berlin.