Hindawi Publishing Corporation
International Journal of Aerospace Engineering
Volume 2011, Article ID 874375, 7 pages
doi:10.1155/2011/874375
Research Article
Study on Ductility of Ti Aluminide Using Artificial
Neural Network
R. K. Gupta,
1
Rama Mehta,
2
Vijaya Agarwala,
3
Bhanu Pant,
1
and P. P. Sinha
1
1
Materials and Mechanical Entity, Vikram Sarabhai Space Center, Trivandrum 695022, India
2
National Institute of Hydrology, Roorkee 247667, India
3
Departement of Metallurgical and Materials Engineering, Indian Institute of Technology, Roorkee 247667, India
Correspondence should be addressed to R. K. Gupta, rohitkumar gupta@vssc.gov.in
Received 25 March 2011; Revised 7 August 2011; Accepted 16 August 2011
Academic Editor: Kenneth M. Sobel
Copyright © 2011 R. K. Gupta et al. This is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Improvement of ductility at room temperature has been a major concern on processing and application of Ti aluminides over the
years. Modifications in alloy chemistry of binary alloy (Ti48 Al) and processing conditions were suggested through experimental
studies with limited success. Using the reported data, the present paper aims to optimize the experimental conditions through
computational modeling using artificial neural network (ANN). Ductility database were prepared, and three parameters, namely,
alloy type, grain size, and heat treatment cycle were selected for modeling. Additionally, ductility data were generated from
the literature for training and validation of models on the basis of linearity and considering the primary effect of these three
parameters. Model was trained and tested for three different datasets drawn from the generated data. Possibility of improving
ductility by more than 5% is observed for multicomponent alloy with grain size of 10–50 μm following a multistep heat treatment
cycle.
1. Introduction
Ti aluminide has been an important aerospace material due
to its high temperature properties and lower density as com-
pared to superalloys. The ordered structure of aluminides
that make them useful for high temperature applications
makes them brittle at ambient temperature [1–3]. Therefore,
inspite of having good properties, the usefulness of these
alloys has been limited to some specific applications only.
Room temperature tensile ductility is maximum (∼1.5%)
at around Ti-48Al (at%) aluminum, which is insufficient
for further processing and applications. Hence, development
of Ti aluminides has centered around Ti-48Al (at%) com-
position. It belongs to the γ (TiAl) plus α
2
(Ti
3
Al) region
of the phase diagram [4–6]. Various methods like alloy ad-
dition, controlled processing, heat treatment and so forth,
are applied to get optimum combination of strength and
ductility. Alloying additions in the range of 1 to 10 at%
is studied with Cr, V, Mn, Nb, Ta, W, and Mo [6]. The
alloying additions of V, Mn, Ni, and Cr in the range of 2–
4 at% have shown enhancement in ductility of the alloy.
Effect of microstructure on the mechanical properties was
studied and duplex structure with fine grain size has been
reported to be optimum for superior strength and ductility
[4, 7–9]. To obtain desired microstructures and mechanical
properties, the effect of several heat treatment cycles on
aluminides has been studied at different temperatures and
with varying cooling rates [9–16] and marginal improvement
in ductility was reported. In this way several studies have
been conducted with limited success in improving ductility
of the alloy. However, experimental studies are expensive due
to the use of high purity alloying elements and processing
under controlled atmosphere. Here, theoretical models are
very useful for optimization of process parameters. Experi-
mentation with such optimized parameters shall minimize
the number of experimental attempts and could lead to
achieve desired ductility.
During the last decade, there has been an increased in-
terest in applying new emerging theoretical techniques such
as fuzzy inference system (FIS) and artificial neural network
(ANN) for optimization-related problems [17–20]. These
are the most common data driven models. These models