AN IMPROVED INCREMENTAL MODEL TO ANALYSE ELASTIC - PLASTIC CONCENTRATED CONTACTS – THE FINITE ELEMENT ANALYSIS AND VALIDATION

Marcelin BENCHEA

marcelin_ben@yahoo.com

Spiridon CRETU

sp_cretu@yahoo.com

"Gheorghe Asachi" Technical University  of Iasi, ROMANIA

Abstract. To model the nonlinear strain rate dependent deformation of rolling bearing steel stressed in the elastic-plastic domain, a theoretical analysis was previously developed by the authors, [1-3]. This analysis was developed in the frame of the incremental theory of plasticity by using the von Mises yield criterion and Prandtl-Reuss equations. To attain the final load of each loading cycle, the two bodies are brought into contact incrementally. Both the new contact geometry and residual stresses distributions are further considered as initial values for the next loading cycle, the incremental technique being reiterated.
A finite elements analysis model has been developed to model the nonlinear strain rate dependent deformation of rolling bearing steel stressed in the elastic-plastic domain. By considering the non-linear hardening laws of Swift, and also of Ramberg-Osgood, the model accounts for the cyclic hardening phenomena.
Comparisons of the computed deformed profiles, as well as of the computed residual stresses distributions, with those obtained by measurements, or numerically by using the finite elements method, reveal a very good agreement and validate the incremental analysis model.
 

Keywords: elastic-plastic, non-linear hardening, numerical algorithm, residual stresses, finite element

References

1. Benchea, M., Cretu, S. Sp., 2007, “A Three Dimensional Elastic Plastic Analysis of  Rolling Contacts,” ROTRIB-07, Nov. 6-9, Bucharest, Romania.

2. Cretu, S. Sp., Benchea, M., 2008, “An Improved Incremental Model to Analyse Elastic-Plastic Concentrated Contacts,” Proc. of 16th International Colloquium Tribology,  Esslingen, Germany, pp.33 (on CD also).

3. Cretu, S. Sp., Benchea, M., 2007, “Compressive Residual Stresses Effect on Fatigue Life of Rolling Bearings,” ASME International Mechanical Engineering Congress and Exposition, IMECE 2007 - paper 43561,  Nov. 11-15, Seattle, WA, USA.

4. Palazotto, N.A., Morris, N.F., 1971, “An Elastic-Plastic Plane Stress Solution Using the Incremental Theory,” Int. J. of Mech. Sci., 13, pp. 97.

5. Cretu, S., Hatmanu, V., 1985, “A Numerical Analysis of Permanent Deformation in Elastic-Plastic Line Contact,” Bul. Inst. Polit. Iasi, XXXI, (1-4), pp. 19-25.

6. Jacq, C., Nelias, D., Lormand, G., Girodin, D., 2002, “Development of Three-Dimensional  Semi-Analytical Elastic-Plastic Contact Code,” ASME J. Tribol., 124, pp. 653-667.

7. Wang, F., Keer, L., 2005, “Numerical Simulation for Three Dimensional Elastic-Plastic Contact with Hardening Behavior,” ASME J. Tribol., 127, pp. 494-502.

8. El Ghazal, H., 1999, Etude des proprietes microstructurales et mecaniques des aciers 16NiCrMo13 cemente et 32CrMoV13 nitrure-Application a la prevision de leur limite d’endurance en fatigue de roulement, Ph.D. Thesis, INSA Lyon, France.