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A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites

In this work, trying to avoid difficulty of application due to the irregular filler shapes in experiments, self-consistent and differential self-consistent methods were combined to obtain a decoupled equation. The combined method suggests a tenor γ independent of filler-contents being an important c...

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Autores principales: Xiong, Zhongqiang, Lu, Shaorong, Liu, Junkun, Lv, Guangsheng, Li, Yuqi, Yu, Jinhong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6415096/
https://www.ncbi.nlm.nih.gov/pubmed/30966137
http://dx.doi.org/10.3390/polym10010101
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author Xiong, Zhongqiang
Lu, Shaorong
Liu, Junkun
Lv, Guangsheng
Li, Yuqi
Yu, Jinhong
author_facet Xiong, Zhongqiang
Lu, Shaorong
Liu, Junkun
Lv, Guangsheng
Li, Yuqi
Yu, Jinhong
author_sort Xiong, Zhongqiang
collection PubMed
description In this work, trying to avoid difficulty of application due to the irregular filler shapes in experiments, self-consistent and differential self-consistent methods were combined to obtain a decoupled equation. The combined method suggests a tenor γ independent of filler-contents being an important connection between high and low filler-contents. On one hand, the constant parameter can be calculated by Eshelby’s inclusion theory or the Mori–Tanaka method to predict effective properties of composites coinciding with its hypothesis. On the other hand, the parameter can be calculated with several experimental results to estimate the effective properties of prepared composites of other different contents. In addition, an evaluation index [Formula: see text] of the interactional strength between matrix and fillers is proposed based on experiments. In experiments, a hyper-dispersant was synthesized to prepare polypropylene/calcium carbonate (PP/CaCO(3)) composites up to 70 wt % of filler-content with dispersion, whose dosage was only 5 wt % of the CaCO(3) contents. Based on several verifications, it is hoped that the combined self-consistent method is valid for other two-phase composites in experiments with the same application progress as in this work.
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spelling pubmed-64150962019-04-02 A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites Xiong, Zhongqiang Lu, Shaorong Liu, Junkun Lv, Guangsheng Li, Yuqi Yu, Jinhong Polymers (Basel) Article In this work, trying to avoid difficulty of application due to the irregular filler shapes in experiments, self-consistent and differential self-consistent methods were combined to obtain a decoupled equation. The combined method suggests a tenor γ independent of filler-contents being an important connection between high and low filler-contents. On one hand, the constant parameter can be calculated by Eshelby’s inclusion theory or the Mori–Tanaka method to predict effective properties of composites coinciding with its hypothesis. On the other hand, the parameter can be calculated with several experimental results to estimate the effective properties of prepared composites of other different contents. In addition, an evaluation index [Formula: see text] of the interactional strength between matrix and fillers is proposed based on experiments. In experiments, a hyper-dispersant was synthesized to prepare polypropylene/calcium carbonate (PP/CaCO(3)) composites up to 70 wt % of filler-content with dispersion, whose dosage was only 5 wt % of the CaCO(3) contents. Based on several verifications, it is hoped that the combined self-consistent method is valid for other two-phase composites in experiments with the same application progress as in this work. MDPI 2018-01-21 /pmc/articles/PMC6415096/ /pubmed/30966137 http://dx.doi.org/10.3390/polym10010101 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Xiong, Zhongqiang
Lu, Shaorong
Liu, Junkun
Lv, Guangsheng
Li, Yuqi
Yu, Jinhong
A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title_full A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title_fullStr A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title_full_unstemmed A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title_short A Combined Self-Consistent Method to Estimate the Effective Properties of Polypropylene/Calcium Carbonate Composites
title_sort combined self-consistent method to estimate the effective properties of polypropylene/calcium carbonate composites
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6415096/
https://www.ncbi.nlm.nih.gov/pubmed/30966137
http://dx.doi.org/10.3390/polym10010101
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