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Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification

This study investigated the influence of the solid cohesion, f(sc), on the viscous properties (m-value and k-value in the Norton law) for aluminum alloys during partial solidification. In the previous study of Haaften (Mater. Sci. Eng. A, 336 (2002), 1-6), a constitutive model taking into account f(...

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Main Authors:	Nagata, Yoshihiro, Takai, Ryosuke, Okane, Toshimitsu, Ahmad Hairuddin, Muhammad Khairi Faiz, Yoshida, Makoto
Format:	Article
Published:	Elsevier Science SA 2022
Subjects:	Q Science (General) T Technology (General) TN Mining engineering. Metallurgy
Online Access:	http://eprints.um.edu.my/33676/
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spelling	my.um.eprints.336762022-07-25T06:53:25Z http://eprints.um.edu.my/33676/ Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification Nagata, Yoshihiro Takai, Ryosuke Okane, Toshimitsu Ahmad Hairuddin, Muhammad Khairi Faiz Yoshida, Makoto Q Science (General) T Technology (General) TN Mining engineering. Metallurgy This study investigated the influence of the solid cohesion, f(sc), on the viscous properties (m-value and k-value in the Norton law) for aluminum alloys during partial solidification. In the previous study of Haaften (Mater. Sci. Eng. A, 336 (2002), 1-6), a constitutive model taking into account f(sc) was proposed as (epsilon)over dot = k(T) (sigma/f(sc)(theta,T))(n(=1/m)), where theta referred to the dihedral angle at the solid/liquid interface. However, even though it is well known that the m-value decreases with the decreasing temperature in the semi-solid state, the model defined the m-value as a constant to the temperature. Therefore, m = f(f(sc)) and k = g(f(sc)) during solidification were clarified in this study. The viscous properties were obtained by tensile tests during partial solidification for Al-5mass%Mg and Al-2mass %Cu alloys. As a result, it was found that the change in the m-value of 0 <= f(sc) < f(sc vertical bar eut.st) was expressed by the following linear rule-of-mixtures: m = m(solid)(f(sc)/f(sc vertical bar eut.st)) + m(liquid)(1-f(sc)/f(sc vertical bar eut.st)), where f(sc vertical bar eut.st) is f(sc) at the beginning of the eutectic solidification, while m(solid) and m(liquid) are the m-values just below the solidus temperature and at f(sc) = 0, respectively. The increase in f(sc) due to the eutectic solidification hardly affected the change in the m-value and such a value was equivalent to m(solid). On the contrary, the change in the k-values was found to obey the Arrhenius equation rather than be controlled by f(sc). It is suggested that regardless of the aluminum alloy composition, the viscous properties of partial solidification can be determined using the these relationships. Elsevier Science SA 2022-01-14 Article PeerReviewed Nagata, Yoshihiro and Takai, Ryosuke and Okane, Toshimitsu and Ahmad Hairuddin, Muhammad Khairi Faiz and Yoshida, Makoto (2022) Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification. Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing, 832. ISSN 0921-5093, DOI https://doi.org/10.1016/j.msea.2021.142339 <https://doi.org/10.1016/j.msea.2021.142339>. 10.1016/j.msea.2021.142339
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Research Repository
url_provider	http://eprints.um.edu.my/
topic	Q Science (General) T Technology (General) TN Mining engineering. Metallurgy
spellingShingle	Q Science (General) T Technology (General) TN Mining engineering. Metallurgy Nagata, Yoshihiro Takai, Ryosuke Okane, Toshimitsu Ahmad Hairuddin, Muhammad Khairi Faiz Yoshida, Makoto Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
description	This study investigated the influence of the solid cohesion, f(sc), on the viscous properties (m-value and k-value in the Norton law) for aluminum alloys during partial solidification. In the previous study of Haaften (Mater. Sci. Eng. A, 336 (2002), 1-6), a constitutive model taking into account f(sc) was proposed as (epsilon)over dot = k(T) (sigma/f(sc)(theta,T))(n(=1/m)), where theta referred to the dihedral angle at the solid/liquid interface. However, even though it is well known that the m-value decreases with the decreasing temperature in the semi-solid state, the model defined the m-value as a constant to the temperature. Therefore, m = f(f(sc)) and k = g(f(sc)) during solidification were clarified in this study. The viscous properties were obtained by tensile tests during partial solidification for Al-5mass%Mg and Al-2mass %Cu alloys. As a result, it was found that the change in the m-value of 0 <= f(sc) < f(sc vertical bar eut.st) was expressed by the following linear rule-of-mixtures: m = m(solid)(f(sc)/f(sc vertical bar eut.st)) + m(liquid)(1-f(sc)/f(sc vertical bar eut.st)), where f(sc vertical bar eut.st) is f(sc) at the beginning of the eutectic solidification, while m(solid) and m(liquid) are the m-values just below the solidus temperature and at f(sc) = 0, respectively. The increase in f(sc) due to the eutectic solidification hardly affected the change in the m-value and such a value was equivalent to m(solid). On the contrary, the change in the k-values was found to obey the Arrhenius equation rather than be controlled by f(sc). It is suggested that regardless of the aluminum alloy composition, the viscous properties of partial solidification can be determined using the these relationships.
format	Article
author	Nagata, Yoshihiro Takai, Ryosuke Okane, Toshimitsu Ahmad Hairuddin, Muhammad Khairi Faiz Yoshida, Makoto
author_facet	Nagata, Yoshihiro Takai, Ryosuke Okane, Toshimitsu Ahmad Hairuddin, Muhammad Khairi Faiz Yoshida, Makoto
author_sort	Nagata, Yoshihiro
title	Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
title_short	Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
title_full	Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
title_fullStr	Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
title_full_unstemmed	Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification
title_sort	influence of solid cohesion on viscous properties in norton law for aluminum alloys during partial solidification
publisher	Elsevier Science SA
publishDate	2022
url	http://eprints.um.edu.my/33676/
_version_	1739828469032812544
score	13.211869

Influence of solid cohesion on viscous properties in Norton law for aluminum alloys during partial solidification

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