On the finite element analysis of contacting bodies using submodelling

Journal of Strain Analysis for Engineering Design

Volumn 40, Issue 2, 2005, Pages 95-106

  Rajasekaran, R ^a   Nowell, D ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Finite element method; Frictional contact; Lagrange formulation; Penalty method; Submodelling

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; FUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

FRICTIONAL CONTACT; LAGRANGE FORMULATION; PENALTY METHOD; SUBMODELING;

RESIDUAL STRESSES;

EID: 13644274208     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/030932405X7836     Document Type: Article

References (23)

1. Hills, D. A., and Nowell, D. Mechanics of Fretting Fatigue, 1994 (Kluwer, Dordrecht, The Netherlands).
2. Johnson, K. L. Contact Mechanics, 1985 (Cambridge University Press, Cambridge).
3. Hills, D. A., Nowell, D., and Sackfleld, A. Mechanics of Elastic Contacts, 1993 (Butterworth-Heinemann, Oxford).
4. Park, M., Hwang, Y. H., Choi, Y. S., and Kim, T. G. Analysis of a J69-T-25 engine turbine blade fracture. Engng Failure Analysis, 2001, 9, 593-599.
5. Boddington, P. H. B., Chen, K., and Ruiz, C. The numerical analysis of dovetail joints. Computer Structs, 1985, 20, 208-217.
6. Kenny, B., Patterson, M., Said, M., and Aradhya, K. Contact stress distributions in a turbine disc dovetail joint - a comparison of photoelastic and finite element results. Strain, 1991, 27, 21-24.
7. Meguid, S. A., Refaat, M. H., and Papanikos, P. Theoretical and experimental studies of structural integrity of dovetail joints in aeroengine discs. J. Mater. Processing Technol., 1996, 56, 668-677.
8. Papanikos, P., Meguid, S. A., and Stjepanovic, Z. Three dimensional nonlinear finite element analysis of dovetail joints in aeroengine discs. Finite Element Analysis Des., 1998, 29, 173-186.
9. Sinclair, G. B., Cormier, N. G., Griffin, J. H., and Meda, G. Contact stresses in dovetail attachments: finite element modelling. J. Engng Gas Turbines Power, 2002, 124, 182-189.
10. Fagan, M. J. Finite Element Analysis: Theory and Practice, 1992 (John Wiley, New York).
11. Iesan, D. Saint- Venant's Problem, Lecture Notes in Mathematics 1279, 1987 (Springer-Verlag, Berlin, Germany).
12. Timoshenko, T. S., and Krieger, S. W. Theory of Plates and Shells, 1985 (McGraw-Hill, New York).
13. Zhong, Z.-H., and Mackerle, J. Static contact problems - a review. Engng Computations, 1992, 9(1), 3-37.
14. Amontons, G. De la résistance causée dans les machines. Mém. Acad. R. A, 1699, 275-282.
15. Dowson, D. History of Tribology, 1998 (Professional Engineering Publishing Limited, Bury St Edmunds and London).
16. ABAQUS 6.2 Users Manual, 2002 (Hibbit, Karlsson, and Sorenson, Pawtucket, Rhode Island).
17. Zienkiewicz, O. C., and Taylor, R. L. The Finite Element Method, Vol. 2, 2000 (Butterworth-Heinmann, Oxford).
18. Kohnke, P. ANSYS Theory Reference Manual, Release 5.3, 1994 (SAS IP, Inc., Canonsburg, Pennsylvania).
19. Cattaneo, C. Sul contatto di due corpi elastici: distribuzion locale degli sforzi. Reconditi Accad. Naz. Lincei, 1938, 27, 342-348, 434-436, 474-478.
20. Mindlin, R. D. Compliance of elastic bodies in contact. J. Appl. Mechanics, 1949, 16, 259-268.
21. Poritsky, H. Stresses and deflections of cylindrical bodies in contact with application to contact of gears and of locomotive wheels. J. Appl. Mechanics, 1950, 17, 191-201.
22. Strang, G., and Fix, G. J. An Analysis of the Finite Element Method, 1973 (Prentice-Hall, Eaglewood Cliffs, New Jersey).
23. Cormier, N. G., Smallwood, B. S., Sinclair, G. B., and Meda, G. Aggressive submodelling of stress concentrations. Int. J. Numer. Meth. Engng, 1999, 46(6), 889-909.