S. Bhattacharya et An. Kumar, MODELING OF ROTATIONAL FACTOR IN NOTCHED BEND SPECIMEN UNDER GENERAL AND LOCAL YIELD SITUATION, Theoretical and applied fracture mechanics, 24(1), 1995, pp. 33-46
The location of the plastic hinge axis in a three point SEN bend speci
men is a highly controversial issue. An unambiguous and reliable estim
ation of rotational factor (r(p)) is very essential for the accurate d
etermination of CTOD data. In contrast to the numerous studies reporte
d on the r(p) determination in a cracked situation, limited informatio
n is available for a blunt notch situation, although many engineering
structures do contain notchlike defects with finite root radius. An at
tempt is made to determine r(p) for two situations, namely well below
the general yield and around the general yield. The work is based on a
theoretical estimation of the plastic zone size using the stress conc
entration factor and the elastic as well as the elastic-plastic stress
distribution. A theoretical estimation of r(p) in both the pseudo-ela
stic and the elastic-plastic situation is estimated through analytical
modelling involving factors like plastic zone size, bend angle and no
tch opening displacement. The values of the rotational factor are foun
d to increase from a small value to around 0.29 in a well below genera
l yield situation to 0.53 to 0.54 in a general yield situation with co
ntinued loading. A wide discrepancy in the P/P-GY ratio separating the
two situations, i.e. well below general yield and around general yiel
d, is observed. Consideration of the elastic and the elasto-plastic st
ress distribution indicates a much smaller value of P/P-GY as compared
to the ratio obtained from experimental load-displacement plots.