The improved anisotropic rotary diffusion (iARD) model was previously regarded as a suitable description of anisotropic orientation states for long fibers in concentrated suspensions. However, the iARD tensor does not pass the classic rheological rule of Euclidean objectivity, namely, material frame indifference. It is hard to ignore the nonobjective effect due to the fact that different coordinate systems may yield different answers. Such an issue can be attributed to the iARD tensor related to the nonobjective velocity-gradient tensor. We therefore proposed a new iARD tensor, which depends on the square of the objective rate-of-deformation tensor. It is important to differentiate between the original Phelps–Tucker anisotropic rotary diffusion tensor and the objective iARD tensor via computing their first invariants. Furthermore, we validated this new iARD model's accuracy in predicting a distinct, broader core-shell orientation structure of injection-molded long-fiber composites through careful experimental verification.
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March 2016
Research Article|
March 01 2016
An objective tensor to predict anisotropic fiber orientation in concentrated suspensions
Huan-Chang Tseng;
Huan-Chang Tseng
a)
CoreTech System (Moldex3D) Co., Ltd
., Chupei, Hsinchu 30265, Taiwan
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Rong-Yeu Chang;
Rong-Yeu Chang
CoreTech System (Moldex3D) Co., Ltd
., Chupei, Hsinchu 30265, Taiwan
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Chia-Hsiang Hsu
Chia-Hsiang Hsu
CoreTech System (Moldex3D) Co., Ltd
., Chupei, Hsinchu 30265, Taiwan
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a)
Author to whom correspondence should be addressed; electronic mail: ivortseng@moldex3d.com
J. Rheol. 60, 215–224 (2016)
Article history
Received:
October 05 2015
Accepted:
December 11 2015
Citation
Huan-Chang Tseng, Rong-Yeu Chang, Chia-Hsiang Hsu; An objective tensor to predict anisotropic fiber orientation in concentrated suspensions. J. Rheol. 1 March 2016; 60 (2): 215–224. https://doi.org/10.1122/1.4939098
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