Interpretation of the problems found in applying contact conditions in node-to-point schemes with boundary element non-conforming discretizations

Engineering Analysis with Boundary Elements

Volumn 21, Issue 4, 1998, Pages 361-375

  Blazquez A ^a   Paris F ^a   Canas J ^a  

^a UNIVERSIDAD DE SEVILLA   (Spain)

Author keywords

Boundary element method; Friction; Mechanic contact; Non conforming discretizations

Indexed keywords

ADHESION; BOUNDARY ELEMENT METHOD; PROBLEM SOLVING; TRACTION (FRICTION);

NODE TO POINT CONTACT METHODS;

INTERFACES (MATERIALS);

EID: 0032092848     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(98)00024-1     Document Type: Article

References (31)

1. Hertz, H. Miscellaneous Papers on the Contact of Elastic Solids, transl. D. E. Jones. McMillan, London, 1896.
2. Chan, S. K. and Tuba, I. S. A finite element method for contact problems of solid bodies - I. Theory and validation. Int. J. Mech. Sci., 1971, 13, 615-625.
3. Fredriksson, B. Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problems. Comput. Struct., 1976, 6, 281-290.
4. Okamoto, N. and Nakazawa, M. Finite element incremental contact analysis with various frictional conditions. Int. J. Numer. Meth. Engng., 1979, 14, 337-357.
5. Oden, J. T. and Pires, E. B. Nonlocal and nonlinear friction laws and variational principles for contact problems in elasticity. J. Applied Mechanics, 1983, 50, 67-76.
6. Andersson, T. Fredriksson, B. & Allan Persson, B. G. The boundary element method applied to two-dimensional contact problems. In New Developments in BEM, Proc. 2nd Seminar, ed. C. A. Brebbia. CMP, Southampton, 1980.
7. Andersson, T. & Allan Persson, B. G. The boundary element method applied to two-dimensional contact problem with friction. In Progress in Boundary Element Method, ed. C. A. Brebbia. Pentech Press, 1983, pp. 136-157.
8. París F. & Garrido, J.A. On the use of discontinuous elements in two dimensional contact problems. In Boundary Elements VII, Proc. 7th Int. Conference, Vol. 2, ed. C. A. Brebbia. CMP Springer, Berlin, 1985, pp. 13-27.
9. París, F. & Garrido, J. A. Friction multicontact problems with BEM. In Boundary Elements X, Proc. 10th Int. Conference, ed. C. A. Brebbia. CMP, Southampton, 1988.
10. París, F. and Garrido, J. A. An incremental procedure for friction contact problems with the boundary element method. Int. J. Engng. Anal. Boundary Elements, 1989, 6(4), 202-213.
11. París, F., Garrido, J. A. and Foces, A. Application of boundary element method to solve three dimensional elastic contact problems without friction. Comput. Struct., 1992, 43(1), 19-30.
12. Garrido, J. A., Foces, A. and París, F. B.E.M. applied to receding contact problems with friction. Int. J. Math. Comput. Mod., 1991, 15(3), 143-153.
13. Garrido, J. A., Foces, A. and París, F. An incremental procedure for three-dimensional contact problems with friction. Comput. Struct., 1994, 50, 201-215.
14. Foces, A., Garrido, J. A. & París, F. Three dimensional frictional conforming contact using BEM. In Boundary Elements XIII, Proc. 13th Int. Conference, eds C. A. Brebbia & G. S. Gipson. CMP, Southampton, 1991, pp. 663-676.
15. Foces, A., Garrido, J. A. & París, F. Three-dimensional contact using BEM. In Computational Method in Contact Mechanics, eds M. H. Aliabadi & C. A. Brebbia, CMP, Southampton, 1993.
16. Takahashi, S. and Brebbia, C. A. A boundary element flexibility approach for solving contact problems with and without friction. Enginnering Analysis with Boundary Element, 1988, 9, 3-11.
17. Man, K. W., Aliabadi, M. H. & Rooke, D. P. A fully load-incremental contact analysis for cracked structures. In Boundary Element XIV, Proc. 14th Int. Conference, eds C. A. Brebbia, J. Domínguez & F. París. CMP, Southampton, 1992, pp. 277-298.
18. Man, K. W., Aliabadi, M. H. and Rooke, D. P. BEM frictional contact analysis: modelling considerations. Engineering Analysis with Boundary Element, 1993, 11, 77-85.
19. Selvadurai, A. P. S. & Au, M. C. Response of inclusions with interface separation, friction and slip. In Boundary Elements VII, Proc. 7th Int. Conference, Vol. 2, eds C. A. Brebbia & G. Maier. CMP, Southampton, 1985, pp. 14.109-14.127.
20. Blázquez, A., París, F. Cañas, J. & Garrido, J. A. An algorithm for frictionless contact problems with non-conforming discretizations using BEM. In Boundary Element XIV, Proc. 14th Int. Conference, eds C. A. Brebbia, J. Domínguez & F. París. CMP, Southampton, 1992, pp. 409-420.
21. París, F., Blázquez, A. and Cañas, J. Contact problems with non-conforming discretizations using boundary element method. Comput. Struct., 1995, 57(5), 829-839.
22. Olukoko, O. A., Becker, A. A. and Fenner, R. T. A new boundary element approach for contact problems with friction. Int. J. Numer. Meth. Engng., 1993, 36, 2625-2642.
23. Huesmann, A. & Kuhn, G. Non-conform discretisation of the contact region applied to two-dimensional boundary element method. In Boundary Elem. Meth. XVI, Proc. 16th Int. Conference, ed. C. A. Brebbia. CMP, Southampton, 1994, pp. 353-360.
24. París, F. and Blázquez, A. On the displacement and load scaling, techniques in contact problems using BEM. Boundary Elements Communications, 1994, 5, 15-17.
25. París, F. & Cañas, J. Boundary Element Method. Fundamentals and Applícatíons. Oxford University Press, Oxford, 1997.
26. Bathe, K. J. and Chaudhary, A. A solution method for planar and axisymmetric contact problems. Int. J. Numer. Meth. Engng., 1985, 21, 65-88.
27. Blázquez, A., París, F. & Cañas, J. Frictional contact problems with non-conforming discretizations using BEM. In Boundary Element Methods, BEM 16, Proc. 16th Int. Conference, ed. C. A. Brebbia. CMP, Southampton, 1994, pp. 345-352.
28. Blázquez. A. Non-conforming contact between bodies with orthotropic behaviour. Application to Iosipesco test. PhD thesis, The University of Sevilla, 1996 (in Spanish).
29. Keer, L. M., Dundurs, J. and Tsai, K. C. Problems involving a receding contact between a layer and a half space. J. Applied Mechanics, 1972, 39, 1115-1120.
30. Blázquez, A. & París, F. Influence of the location point in node-to-points contact approaches using non-conforming boundary element discretizations. In Contact Mechanics '97. Proc. 3rd Int. Conference, eds M. H. Aliabadi & A. Samartin. CMP, Southampton, 1997, pp. 91-100.
31. Blázquez, A., París, F. & Mantic, V. BEM solution of two dimensional contact problems by weak application of contact conditions with non-conforming discretizations. Int. J. Solids Structures (in press).