Hindawi Publishing Corporation
Mathematical Problems in Engineering
Volume 2013, Article ID 362601, 9 pages
http://dx.doi.org/10.1155/2013/362601
Research Article
Ameliorated Austenite Carbon Content Control in Austempered
Ductile Irons by Support Vector Regression
Chan-Yun Yang,
1
Liou-Chun Chang,
2
Hooman Samani,
1
and Ryohei Nakatsu
3
1
Department of Electrical Engineering, National Taipei University, San Shia District, New Taipei City 23741, Taiwan
2
Mechanical Engineering and Chemical Technology, British Columbia Institute of Technology, BC, Canada
3
Department of Electrical and Computer Engineering, National University of Singapore, Singapore
Correspondence should be addressed to Hooman Samani; hooman@mail.ntpu.edu.tw
Received 3 February 2013; Accepted 5 April 2013
Academic Editor: Chang-Hua Lien
Copyright © 2013 Chan-Yun Yang et al. his 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.
Austempered ductile iron has emerged as a notable material in several engineering ields, including marine applications. he initial
austenite carbon content ater austenization transform but before austempering process for generating bainite matrix proved critical
in controlling the resulted microstructure and thus mechanical properties. In this paper, support vector regression is employed
in order to establish a relationship between the initial carbon concentration in the austenite with austenization temperature and
alloy contents, thereby exercising improved control in the mechanical properties of the austempered ductile irons. Particularly, the
paper emphasizes a methodology tailored to deal with a limited amount of available data with intrinsically contracted and skewed
distribution. he collected information from a variety of data sources presents another challenge of highly uncertain variance. he
authors present a hybrid model consisting of a procedure of a histogram equalizer and a procedure of a support-vector-machine
(SVM-) based regression to gain a more robust relationship to respond to the challenges. he results show greatly improved accuracy
of the proposed model in comparison to two former established methodologies. he sum squared error of the present model is less
than one ith of that of the two previous models.
1. Introduction
Austempered ductile iron (ADI) is a specialty heat-treated
material that takes advantage of the near-net shape technol-
ogy and low-cost manufacturability of ductile iron castings
to make a high-strength, low-cost, and excellent abrasion-
resistant material. ADI has become an established alternative
in many applications that were previously the exclusive
domain of steel castings, forgings, weldments, powdered
metals, and aluminum forgings and castings [1–6]. his
material has been also proven to perform very well under
diferent wear mechanisms such as rolling contact fatigue,
adhesion, and abrasion [7, 8]. Considering the low-cost,
design lexibility, lexible machinability, high strength-to-
weight ratio and good toughness, wear resistance, and fatigue
strength of ADI, its usage now is extended into marine
application with increasing interest in the study of corrosion
and coating of ADI [5, 9–12].
ADI is obtained by heat treating process of ductile
irons to have bainite as matrix, which consists of strong
bainitic ferrite platelets and tough high-carbon retained
austenite, along with spheroidal graphite nodules [1–3]. he
typical microstructure of ductile irons, shown in Figure 1(a),
includes spheroidal graphite nodules and matrix surrounding
them. he bainitic matrix of an austempered ductile iron [8]
is illustrated in Figure 1(b). A signiicant amount of retained
austenite is presented as the shape of ilms and blocks in the
matrix.
he heat treatment for developing bainite matrix includes
two steps. First, ductile irons are heated to austenization
temperature (
) around 1550–1750
∘
F to change the original
matrix into austenite and then quenched down to the bainite
formation temperature range (450–750
∘
F) for one to three
hours when bainitic ferrite grows isothermally at the expense
of austenite before cooling down to ambient temperature [1–
3, 13, 14]. he austenization reverses the matrix structure
to high temperature austenite phase and in the meantime
determines the initial carbon concentration in austenite (
0
)
before austempering process, since the graphite modules