The Phelps-Tucker anisotropic rotary diffusion (ARD) equation constitutes an important development in relation to concentrated fiber suspension rheology and is significant in its ability to predict transient, flow-induced fiber orientation, especially for long fiber composites in the industry. Within this model, a critical spatial tensor was assumed to be a polynomial tensor-valued function depending on both the orientation tensor and the rate-of-strain tensor. However, it can be difficult to derive a large number of fitting ARD parameters. For simplification, we newly defined the spatial tensor as coaxial with the orientation tensor's principal directions, while the spatial tensor's principal components are to control anisotropic changes in the orientation tensor. Such a principal spatial tensor used in the Phelps-Tucker ARD model is demonstrated in accurately predicting the shell-core structure of fiber orientation distributions for injection molding simulation of long fiber composites, supported with experimental validation.
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January 2018
Research Article|
January 01 2018
The use of principal spatial tensor to predict anisotropic fiber orientation in concentrated fiber suspensions
Huan-Chang Tseng;
Huan-Chang Tseng
a)
CoreTech System (Moldex3D) Co., Ltd.
, ChuPei City, Hsinchu County 30265, Taiwan
and Tai Yuen Hi-Tech Industrial Park
, 8F-2, No.32, Taiyuan Street, Chupei City, Hsinchu County 302, Taiwan
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Rong-Yeu Chang;
Rong-Yeu Chang
b)
CoreTech System (Moldex3D) Co., Ltd.
, ChuPei City, Hsinchu County 30265, Taiwan
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Chia-Hsiang Hsu
Chia-Hsiang Hsu
c)
CoreTech System (Moldex3D) Co., Ltd.
, ChuPei City, Hsinchu County 30265, Taiwan
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a)
Author to whom correspondence should be addressed. Fax: +886-3-560-0198. Electronic mail: [email protected]
b)
Electronic mail: [email protected]; Fax: +886-3-560-0198.
c)
Electronic mail: [email protected]; Fax: +886-3-560-0198.
J. Rheol. 62, 313–320 (2018)
Article history
Received:
August 01 2017
Accepted:
November 22 2017
Citation
Huan-Chang Tseng, Rong-Yeu Chang, Chia-Hsiang Hsu; The use of principal spatial tensor to predict anisotropic fiber orientation in concentrated fiber suspensions. J. Rheol. 1 January 2018; 62 (1): 313–320. https://doi.org/10.1122/1.4998520
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