Cargando…
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...
Autores principales: | , , , , , |
---|---|
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 |
_version_ | 1783403112145354752 |
---|---|
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. |
format | Online Article Text |
id | pubmed-6415096 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT xiongzhongqiang acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT lushaorong acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT liujunkun acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT lvguangsheng acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT liyuqi acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT yujinhong acombinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT xiongzhongqiang combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT lushaorong combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT liujunkun combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT lvguangsheng combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT liyuqi combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites AT yujinhong combinedselfconsistentmethodtoestimatetheeffectivepropertiesofpolypropylenecalciumcarbonatecomposites |