S. Basu et R. Narasimhan, A numerical investigation of loss of crack tip constraint in a dynamicallyloaded ductile specimen, J MECH PHYS, 48(9), 2000, pp. 1967-1985
The objectives of this paper are to study the applicability of a two-parame
ter (J-Q) characterisation of the elastic-plastic crack tip fields in a dyn
amically loaded ductile specimen and to ascertain the effect of loading rat
e J on the triaxiality parameter Q. To this end, 2D (plane strain) large de
formation finite element analyses of a single edge notched specimen (SEN(T)
) subjected to a tensile stress pulse are conducted. The material is assume
d to obey the J(2) Row theory of plasticity with small elastic strains and
both rate independent and rate dependent behaviour are considered. The resu
lts demonstrate that even a deeply cracked SEN(T) specimen which maintains
high triaxiality under quasi-static loading can exhibit progressive loss of
triaxiality as the loading rate increases. Since this behaviour is observe
d for both rate independent and rate dependent case, it is attributed to in
ertial effects. The above phenomenon can satisfactorily explain retarded mi
cro-void growth rates near a notch tip, and strong elevation in the dynamic
fracture toughness at high loading rates, which have been reported in rece
nt computational and experimental studies. (C) 2000 Elsevier Science Ltd. A
ll rights reserved.