ELSEVIER
Int. J. Fatigue Vol. 18, No. 4, pp. 227-233, 1996
Copyright © 1996 Elsevier Science Limited
Printed in Great Britain. All rights reserved
0142-1123/96/$15.00
PII:SO142-1123(96)00001-1
Fatigue and creep in titanium grade 2
J.A.M. Ferreira, J.D.M. Costa and P.N.B. Reis*
Department of Mechanical Engineering, University of Coimbra, 3000 Coimbra,
Portugal
*Department of Electromechanical Engineering, UBI, 6200 Covilh~, Portugal
(Received 21 July 1995; revised 23 November 1995)
The titanium grade 2 is currently used in high-pressure heat exchanges, piping systems in sea water
desalination plants, offshore technology and chemical plants. In many of the applications fatigue and/or
creep loading conditions occur. In this paper are presented the results of the mechanical behaviour, low
cycle fatigue parameters and fatigue crack propagation at room temperature and at 400°C. The influence
of temperature, frequency and the shape of wave loading was studied. The creep behaviour was also
studied. Curves of the strain and the stress against the time were obtained to 400°C and 500°C. Also
the Larson-Miller parameter was determined. Tests to the creep crack propagation study were carried
out. Crack propagation in the creep tests conditions used was not verified.
INTRODUCTION
Commercial titanium contains as the main element
titanium and a residual element such as: iron, carbon,
oxygen, nitrogen, hydrogen, and others associated with
manufacturing techniqueL The purity of commercial
titanium is classified in four grades according to the
ASTM B 265 standard 2 and depending on the
residual elements.
About 75% of the world production of titanium is
used in the aerospacial industry, but recently the use
of titanium has significantly increased in other indus-
tries. The main applications of the titanium grade 2
are high-pressure heat exchangers and piping systems
in sea water desalination plants, salt production plants,
offshore technology, chemical and petrochemical
plants 3,4. Also it is used in condensers in nuclear
power plants.
In some of these applications the environment tem-
perature is elevated and then creep of the material may
occur. Fatigue can also occur due to the effect of
temperature or dynamic external loads. The fatigue at
elevated temperature will be the failure mode for some
situations. In this paper we obtain the material behav-
iour for low cycle fatigue, creep and fatigue crack
propagation at room temperature and at 400°C. A
tentative study of the creep/fatigue interaction behav-
iour was tried. During the low cycle fatigue the strain is
predominantly plastic. For dynamic loading the relation
between the stress and the strain is designed by the
cycle curve of the material and expressed by the
Morrow equation 5
cr~ = K'(~-e) -" ( 1)
&
Z
where tra is the stress amplitude, Aep/2 is the plastic
strain amplitude, K' and n' are the cyclic hardening
coefficient and the cyclic hardening exponent, respect-
ively.
When the stress level is high, the strain is predomi-
nantly plastic and the number of cycles to failure is
reduced. The plastic strain and the number of rever-
sions are related by the Coffin-Manson equation 6
Aep _ ef'(2Nf)c (2)
2
where Nf is the number of cycles to failure, e~ is the
fatigue ductility coefficient and c the fatigue ductility
exponent.
If Ne is enough high, the stress level is below the
yeld point, and the strain is purely elastic. In this case
the plastic component of the strain can be ignored and
the elastic strain Ae~/2 is related to the number of
reversals by the equation proposed by Basquin 7
Aee
- cr'f.(2Nf) b (3)
2
where ~ and b are the fatigue strength coefficient and
the fatigue strength exponent, respectively. In this paper
were obtained the fatigue parameters: K', n', e~, c, ~-
and b.
The creep behaviour of the material was studied
using the conventional curves for the strain rate against
the time. These curves (deldt-t) were carried out at
400°C and at 500°C. The de/dt-t data were obtained
from the e-t curve by derivation. From the e-t curves,
the curves of the stress against the time to fixed values
of strain and to failure were also obtained.
227