Vol.1, No 8, 2001 pp. 939 - 946
UDC 66.011-034.1+519.711-034.1
NUMERICAL MODELING OF DUCTILE
FRACTURE INITIATION IN STRUCTURAL STEEL
Marko Rakin
Faculty of Technology and Metallurgy, University of Belgrade, Karnegijeva
4,
11000 Belgrade, YU-Serbia
E-mail: mrakin@EUnet.yu
Abstract. Numerical modeling of ductile fracture initiation on a
precracked geometry, taking into account the behaviour of simple uncracked
material, has been done in the scope of micromecanical analysis. Numerical
simulation has been applied in two steps: first, a tensile smooth cylindrical
specimen and then, the standard CT specimen. Analysis was performed on
a structural steel 22 NiMoCr 3 7, in the scope of ESIS TC8 Numerical Round
Robin on Micromechanical Models, Phase II, Task A. The large strain (updated
Lagrangian) finite element (FE) formulation was used to simulate expected
level of strains. Material non-linearity was modeled by true stress-strain
curve, employing Von Mises yield criterion with isotropic hardening. The
results obtained in this way were in good agreement with the experimental
results, in particular for the force-contraction relation. Using results
for strains and stresses, obtained for the standard tensile specimen, further
numerical analysis has been performed to evaluate critical void growth
ratio (R/R0)c, as the maximum value of (R/R0), obtained according to the
Rice-Tracey micromechanical model. The critical void growth ratio value
was then used for the analysis of crack growth initiation in CT25 specimen,
as the further step in the scope of numerical modeling of ductile fracture
initiation. The criterion for crack growth initiation evaluation was the
critical void growth ratio value, (R/R0)c, obtained for the smooth round
specimen, compared with the void growth ratio value, obtained in the element
ahead of crack tip. For the load level at which (R/R0)c has been reached,
the corresponding J integral was evaluated and compared with the experimentally
determined Ji value. Since these two values turned out to be in good agreement,
it was concluded that the Rice-Tracey model can be applied for numerical
simulation of ductile fracture initiation in the scope of the procedure
employed here.
NUMERIČKO MODELISANJE INICIJALIZACIJE
DAKTILNE FRAKTURE U STRUKTURNOM ČELIKU
U radu je dato numeričko modelisanje inicijalizacije daktilne frakture
u strukturnom čeliku na geometriji pre loma uzimanjem u obzir ponašanje
jednostavnog neslomljenog materijala uz pomoć mikromehaničke analize. Numerička
simulacija bazirana je na metodi konačnih elemenata. Zaključuje se da Rice-Tracey
model može da bude primenjen za numeričku simulaciju inicijalizacije daktilne
frakture.