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 elasticplastic
domain, a theoretical analysis was previously developed by the
authors, [13]. This analysis was developed in the frame of the
incremental theory of plasticity by using the von Mises yield
criterion and PrandtlReuss 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 elasticplastic domain. By considering the
nonlinear hardening laws of Swift, and also of RambergOsgood, 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:
elasticplastic, nonlinear hardening, numerical algorithm, residual
stresses, finite element
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