Ae. Giannakopoulos et al., Similarities of stress concentrations in contact at round punches and fatigue at notches: implications to fretting fatigue crack initiation, FATIG FRACT, 23(7), 2000, pp. 561-571
Citations number
16
Categorie Soggetti
Material Science & Engineering
Journal title
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
A linear elastic model of the stress concentration due to contact between a
rounded flat punch and a homogeneous substrate is presented, with the aim
of investigating fretting fatigue crack initiation in contacting parts of v
ibrating structures including turbine engines. The asymptotic forms for the
stress fields in the vicinity of a rounded punch-on-flat substrate are der
ived for both normal and tangential loading, using both analytical and fini
te element methods. Under the action of the normal load, P, the ensuing con
tact is of width 2b which includes an initial flat part of width 2a. The as
ymptotic stress fields for the sharply rounded flat punch contact have cert
ain similarities with the asymptotic stress fields around the tip of a blun
t crack. The analysis showed that the maximum tensile stress, which occurs
at the contact boundary due to tangential load Q, is proportional to a mode
II stress intensity factor of a sharp punch divided by the square root of
the additional contact length due to the roundness of the punch, Q/(root<((
b - a))over bar>root<(pi b)over bar>). The fretting fatigue crack initiatio
n can then be investigated by relating the maximum tensile stress with the
fatigue endurance stress. The result is analogous to that of Barsom and McN
icol where the notched fatigue endurance stress was correlated with the str
ess intensity factor and the square root of the notch-tip radius. The propo
sed methodology establishes a 'notch analogue' by making a connection betwe
en fretting fatigue at a rounded punch/flat contact and crack initiation at
a notch tip and uses fracture mechanics concepts. Conditions of validity o
f the present model are established both to avoid yielding and to account f
or the finite thickness of the substrate. The predictions of the model are
compared with fretting fatigue experiments on Ti-6Al-4V and shown to be in
good agreement.