____________________
* Corresponding author: University Park, Nottingham, NG7 2RD, Tel (+44) 115 8467675;
aditya.deshpande@nottingham.ac.uk
THERMO-MECHANICAL ANALYSIS AND LIFING OF Ni-Cr SPF TOOL
Aditya A Deshpande
1
*, Sean B Leen
2
, Wei Sun
1
and Thomas H Hyde
1
1
Department of Mechanical, Materials & Manufacturing Engineering, Faculty of Engineering, University of
Nottingham, NG7 2RD, UK
2
Department of Mechanical and Biomedical Engineering, College of Engineering and Informatics, National
University of Ireland, Galway, Ireland
2
sean.leen@nuigalway.ie
ABSTRACT: The paper describes the aniso-thermo-mechanical analysis of a representative large industrial SPF
(XN40F, high nickel-chromium) tool. Sequentially coupled thermo-mechanical analyses under realistic loading
conditions are developed within a general purpose non-linear FE code, ABAQUS to predict and analyse the complex
temperature-stress-strain cycles of the SPF tool. A temperature-dependent, two-layer visco-plasticity model which
combines both creep and combined isotropic-kinematic plasticity is chosen to represent the material behaviour. The
material constants are identified from multiple strain-range isothermal cyclic tests and stress relaxation tests, over a
range of temperatures between 20
o
C and 900
o
C. The FE predicted stress-strain data is used in stress-strain-life equations
obtained from isothermal fatigue lifing tests at 900
o
C and the identified constants are validated against the TMF tests
and simulative SPF tool test, designed to represent the temperature and stress-strain cycling associated with the most
damaging phase of the tool cycle. The predicted SPF tool life is consistent with the simulative SPF tool test life and
industrial observations.
KEYWORDS: thermo-mechanical fatigue; superplastic forming; XN40F; tools; Ostergren model; Zamrik model; two-
layer visco-plasticity model
1 INTRODUCTION
This paper is concerned with the development of
life prediction methods for the harsh thermo-
mechanical conditions experienced by superplastic
forming tools. This includes high temperature cyclic
loading and steady mechanical loading for extended
durations. The tools are manufactured by casting from
specialized alloys. The cost of tool failure is significant
and tool life is an important limiting aspect in the SPF
process. Large SPF tools are susceptible to distortion
due to thermal cycling and high temperature creep, as
well as cracking due to fatigue, creep-fatigue and
thermo-mechanical fatigue. Cyclic thermal gradients
arise from the heating and cooling of tools (low
frequency) and from the opening and closing of the
SPF press during blank insertion and (formed) part
removal (higher frequency). In addition, cyclic
mechanical loads result from self-weight, clamping and
pressurization (due to the forming cycle). A significant
amount of work has been carried out by Bernhart and
co-workers at Ecoles des Mines in Albi on hot working
tools [1-4].
Atwo-layer visco-plasticity model, available within
the commercial FE code ABAQUS, which combines
both creep and combined isotropic-kinematic plasticity
is chosen to represent the SPF tool material behaviour
which is XN40F (40% Ni. 20% Cr, balance Fe). A
series of isothermal strain-controlled fatigue, thermo-
mechanical fatigue-creep and stress relaxation tests
were conducted to identify the material and failure
constants [5]. The process of material and failure
constant identification and validation against
experimental temperature-stress-strain loops is
described in [6]. Sequentially coupled thermo-
mechanical analyseswere performed to simulate the
complex temperature-stress-strain cycles of the SPF
tool. The temperature-dependent material model is
furthermore applied to a simulative TMF test, designed
to represent the temperature and stress-strain cycling
associated with the most damaging phase of the tool
cycle at a predicted critical location. Thermo-
mechanical fatigue life predictions of the SPF tool were
made using the Ostergren and the Zamrik model.
2 MATERIAL BEHAVIOUR MODEL
The SPF tool is cast from nickel- chromium alloy. The
composition of XN40F tool material is given in Table
1. Temperature-dependent thermal properties, such as
thermal conductivity and specific heat, employed in the
heat transfer analysis of the SPF tool are shown in
Table 2.
Table 1. Composition of the SPF tool material XN40F
Elements C Ni Cr Fe
Weight % 0.35 40.0 20.0 Balance
The material constitutive model employed here is a
temperature-dependent two-layer viscoplasticity model,
where cyclic plasticity behaviour is captured using
combined non-linear kinematic/isotropic hardening and
viscoplasticity behaviour is captured via the Norton
power law for secondary creep.
The multiaxial equations for the two-layer viscoplastic
model are defined as follows:
© Springer-Verlag France 2010
Int J Mater Form (2010) Vol. 3 Suppl 1:1151 1154 –
DOI 10.1007/s12289-010-0976-9