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* Corresponding author: University Technology Centre in Gas Turbine Transmission Systems, ITRC Building, The
University of Nottingham, University Park, Nottingham NG7 2RD UK, chris.bennett@nottingham.ac.uk
A FINITE ELEMENT ANALYSIS OF ERRORS IN AXISYMMETRIC
ISOTHERMAL AND GLEEBLE COMPRESSION TESTING OF Ti-6Al-4V
C. J. Bennett
1*
, S. B. Leen
2
, P. H. Shipway
1
1
Department of Mechanical, Materials and Manufacturing Engineering
University of Nottingham, Nottingham NG7 2RD, UK
2
Mechanical and Biomedical Engineering, College of Engineering and Informatics, National
University of Ireland, Galway
ABSTRACT: Coupled thermo-mechanical finite element modelling of both the isothermal axisymmetric and Gleeble
compression testing of Ti-6Al-4V has been carried out in order to give insight into errors which occur when generating
flow stress data for process modelling by these methods. A strain-rate and temperature-dependent Norton-Hoff material
model is used to represent the material in the analyses and also for calculation of relative stress error. Significant errors
are predicted for both testing methods caused by interface friction between the platens and the specimen and plastically-
induced heat generation. An axial temperature profile is also predicted in the Gleeble test specimen from resistance
heating which increases deformation at the axial centre of the specimen and introduces further errors. Stress errors of
up to 25% are predicted.
KEYWORDS: compression, Gleeble, titanium, plastic deformation, finite element
1 INTRODUCTION
For the modelling of manufacturing processes involving
large deformations, an extensive amount of plastic (flow
stress) data is required. Typically, hot isothermal
compression testing is used to generate flow stress data
for finite element modelling [1, 2]; this technique is
suitable for modelling processes such as sheet forming,
rolling and extrusion where the temperature of the
workpiece is held approximately constant throughout the
process. However, for manufacturing processes
involving rapid heating rates and large deformations
such as friction welding, the use of other compression
testing methods such as those involving Gleeble thermo-
mechanical simulators is becoming more prevalent [3, 4]
due to their ability to generate rapid heating rates in
specimens.
It is important when material testing is carried out for
finite element modelling that the material data accurately
represent the material properties pertinent to the process
being modelled and that any systematic errors in the
testing procedure are understood and accounted for when
generating the material dataset.
2 MODEL DEVELOPMENT
Coupled thermo-mechanical modelling of the
compression testing of the titanium alloy, Ti-6Al-4V has
been carried out using the DEFORM-2D finite element
software for both the axisymmetric isothermal
compression process and compression testing using a
Gleeble thermo-mechanical simulator
The specimen geometry is identical for both types of
test, namely cylinders 12 mm in length and 8mm in
diameter. In light of the specimen geometry; the
modelling can be approximated using an axisymmetric
element formulation assuming that there is no
misalignment between the specimen and the platens and
there are no geometry errors or other initial
inhomegeinities which could skew the specimen as these
effects cannot be accounted for in the model.
The outline of the finite element model is shown in
Figure 1 and the main basis of the model is identical for
both types of testing method. However for the Gleeble
modelling, a resistance heating model is first run to
generate the axial temperature profile that is present
during the test; this is achieved by applying a current
flux to the top die and a zero voltage to the bottom die.
DOI 10.1007/s12289-010-0977-8
© Springer-Verlag France 2010
Int J Mater Form (2010) Vol. 3 Suppl 1:1155 1158 –