AN IMPROVED INCREMENTAL MODEL TO
ANALYSE ELASTIC - PLASTIC CONCENTRATED CONTACTS – THE FINITE ELEMENT
ANALYSIS AND VALIDATION
Asachi" Technical University of Iasi, ROMANIA
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
elastic-plastic, non-linear hardening, numerical algorithm, residual
stresses, finite element
Cretu, S. Sp.,
2007, “A Three Dimensional Elastic Plastic Analysis of Rolling
Contacts,” ROTRIB-07, Nov. 6-9, Bucharest, Romania.
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).
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.
1971, “An Elastic-Plastic Plane Stress Solution Using the
Incremental Theory,” Int. J. of Mech. Sci., 13, pp. 97.
Cretu, S., Hatmanu,
1985, “A Numerical Analysis of Permanent Deformation in
Elastic-Plastic Line Contact,” Bul. Inst. Polit. Iasi,
XXXI, (1-4), pp. 19-25.
Jacq, C., Nelias,
D., Lormand, G., Girodin, D.,
2002, “Development of Three-Dimensional Semi-Analytical
Elastic-Plastic Contact Code,” ASME J. Tribol., 124, pp.
Wang, F., Keer, L.,
“Numerical Simulation for Three Dimensional Elastic-Plastic
Contact with Hardening Behavior,” ASME J. Tribol., 127,
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.