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Sheng J, Chen W, Cui K, Li L. Polymer crystallization under external flow. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2022; 85:036601. [PMID: 35060493 DOI: 10.1088/1361-6633/ac4d92] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/26/2021] [Accepted: 01/20/2022] [Indexed: 06/14/2023]
Abstract
The general aspects of polymer crystallization under external flow, i.e., flow-induced crystallization (FIC) from fundamental theoretical background to multi-scale characterization and modeling results are presented. FIC is crucial for modern polymer processing, such as blowing, casting, and injection modeling, as two-third of daily-used polymers is crystalline, and nearly all of them need to be processed before final applications. For academics, the FIC is intrinsically far from equilibrium, where the polymer crystallization behavior is different from that in quiescent conditions. The continuous investigation of crystallization contributes to a better understanding on the general non-equilibrium ordering in condensed physics. In the current review, the general theories related to polymer nucleation under flow (FIN) were summarized first as a preliminary knowledge. Various theories and models, i.e., coil-stretch transition and entropy reduction model, are briefly presented together with the modified versions. Subsequently, the multi-step ordering process of FIC is discussed in detail, including chain extension, conformational ordering, density fluctuation, and final perfection of the polymer crystalline. These achievements for a thorough understanding of the fundamental basis of FIC benefit from the development of various hyphenated rheometer, i.e., rheo-optical spectroscopy, rheo-IR, and rheo-x-ray scattering. The selected experimental results are introduced to present efforts on elucidating the multi-step and hierarchical structure transition during FIC. Then, the multi-scale modeling methods are summarized, including micro/meso scale simulation and macroscopic continuum modeling. At last, we briefly describe our personal opinions related to the future directions of this field, aiming to ultimately establish the unified theory of FIC and promote building of the more applicable models in the polymer processing.
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Affiliation(s)
- Junfang Sheng
- National Synchrotron Radiation Laboratory, Anhui Provincial Engineering Laboratory of Advanced Functional Polymer Film, CAS Key Laboratory of Soft Matter Chemistry, University of Science and Technology of China, Hefei 230026, People's Republic of China
| | - Wei Chen
- National Synchrotron Radiation Laboratory, Anhui Provincial Engineering Laboratory of Advanced Functional Polymer Film, CAS Key Laboratory of Soft Matter Chemistry, University of Science and Technology of China, Hefei 230026, People's Republic of China
| | - Kunpeng Cui
- National Synchrotron Radiation Laboratory, Anhui Provincial Engineering Laboratory of Advanced Functional Polymer Film, CAS Key Laboratory of Soft Matter Chemistry, University of Science and Technology of China, Hefei 230026, People's Republic of China
| | - Liangbin Li
- National Synchrotron Radiation Laboratory, Anhui Provincial Engineering Laboratory of Advanced Functional Polymer Film, CAS Key Laboratory of Soft Matter Chemistry, University of Science and Technology of China, Hefei 230026, People's Republic of China
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2
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Shear-induced crystallization of unimodal/bimodal polyethylene at high temperatures affected by C4 short-branching. POLYMER 2021. [DOI: 10.1016/j.polymer.2021.124203] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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3
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Alms J, Hopmann C, Wang J, Hohlweck T. Non-Isothermal Crystallisation Kinetics of Polypropylene at High Cooling Rates and Comparison to the Continuous Two-Domain pvT Model. Polymers (Basel) 2020; 12:polym12071515. [PMID: 32650449 PMCID: PMC7408015 DOI: 10.3390/polym12071515] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/16/2020] [Revised: 07/01/2020] [Accepted: 07/03/2020] [Indexed: 11/16/2022] Open
Abstract
The modelling of the correlation between pressure, specific volume and temperature (pvT) of polymers is highly important for applications in the polymer processing of semi-crystalline thermoplastics, especially in injection moulding. In injection moulding, the polymer experiences a wide range of cooling rates, for example, 60 °C/min near the centre of the part and up to 3000 °C/min near the mould walls. The cooling rate has a high influence on the pvT behaviour, as was shown in the continuous two-domain pvT model (CTD). This work examined the Hoffman–Lauritzen nucleation and growth theory used in the modified Hammami model for extremely high cooling rates (up to 300,000 °C/min) by means of Flash differential scanning calorimeter (DSC) measurements. The results were compared to those of the empirical continuous two-domain pvT model. It is shown that the Hammami model is not suitable to predict the crystallisation kinetics of polypropylene at cooling rates above 600 °C/min, but that the continuous two-domain pvT model is well able to predict crystallisation temperatures at high cooling rates.
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Affiliation(s)
- Jonathan Alms
- Institute for Plastics Processing (IKV), RWTH Aachen University, 52074 Aachen, Germany
| | - Christian Hopmann
- Institute for Plastics Processing (IKV), RWTH Aachen University, 52074 Aachen, Germany
| | - Jian Wang
- Institute for Plastics Processing (IKV), RWTH Aachen University, 52074 Aachen, Germany
- College of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Tobias Hohlweck
- Institute for Plastics Processing (IKV), RWTH Aachen University, 52074 Aachen, Germany
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4
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Miao W, Zhu H, Duan T, Chen H, Wu F, Jiang L, Wang Z. High-density polyethylene crystals with double melting peaks induced by ultra-high-molecular-weight polyethylene fibre. ROYAL SOCIETY OPEN SCIENCE 2018; 5:180394. [PMID: 30109093 PMCID: PMC6083719 DOI: 10.1098/rsos.180394] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/10/2018] [Accepted: 06/07/2018] [Indexed: 06/01/2023]
Abstract
High-density polyethylene (HDPE)/ultra-high-molecular-weight polyethylene (UHMWPE) fibre composites were prepared via solution crystallization to investigate the components of epitaxial crystal growth on a highly oriented substrate. Scanning electron microscopy morphologies of HDPE crystals on UHMWPE fibres revealed that the edge-on ribbon pattern crystals that were formed initially on UHMWPE fibres converted afterwards to a sheet shape as crystallization progressed. Wide-angle X-ray diffraction confirmed that the polymer chain oriented along the fibre axis and the orthorhombic crystal form of HDPE remained unchanged in HDPE/UHMWPE fibre composite systems. The thermal behaviour of the fibre composites measured by differential scanning calorimetry showed double melting peaks, the nature of which, as disclosed by partial melting experiments, is ascribed to bilayer components existing in the induced crystals: the inner layer is composed of more regularly folded chain crystals induced by UHMWPE fibres, and the outer layer formed on the inner one with a thinner and lower ordered crystal structure.
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Affiliation(s)
| | | | | | | | | | | | - Zongbao Wang
- Ningbo Key Laboratory of Specialty Polymers, Faculty of Materials Science and Chemical Engineering, Ningbo University, Ningbo 315211, People's Republic of China
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Cui K, Ma Z, Tian N, Su F, Liu D, Li L. Multiscale and Multistep Ordering of Flow-Induced Nucleation of Polymers. Chem Rev 2018; 118:1840-1886. [DOI: 10.1021/acs.chemrev.7b00500] [Citation(s) in RCA: 167] [Impact Index Per Article: 27.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kunpeng Cui
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
| | - Zhe Ma
- Tianjin
Key Laboratory of Composite and Functional Materials, School of Materials
Science and Engineering, Tianjin University, 92 Weijin Road,
Nankai District, Tianjin 300072, People’s Republic of China
| | - Nan Tian
- Ministry
of Education Key Laboratory of Space Applied Physics and Chemistry
and Shanxi Key Laboratory of Macromolecular Science and Technology,
School of Science, Northwestern Polytechnical University, 127 Youyi
West Road, District Beilin, Xi’an 710072, People’s Republic of China
| | - Fengmei Su
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
| | - Dong Liu
- Key
Laboratory of Neutron Physics and Institute of Nuclear Physics and
Chemistry, China Academy of Engineering Physics, 64 Mianshan
Road, Mianyang, Sichuan 621999, People’s Republic of China
| | - Liangbin Li
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
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Schammé B, Dargent E, Fernandez-Ballester L. Effect of Random Ethylene Comonomer on Relaxation of Flow-Induced Precursors in Isotactic Polypropylene. Macromolecules 2017. [DOI: 10.1021/acs.macromol.7b01228] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Benjamin Schammé
- Department
of Mechanical and Materials Engineering and Nebraska Center for Materials
and Nanoscience, University of Nebraska at Lincoln, Lincoln, Nebraska 68588, United States
- UNIROUEN
Normandie, INSA Rouen, CNRS, Groupe de Physique des Matériaux, Normandie Univ., 76000 Rouen, France
| | - Eric Dargent
- UNIROUEN
Normandie, INSA Rouen, CNRS, Groupe de Physique des Matériaux, Normandie Univ., 76000 Rouen, France
| | - Lucia Fernandez-Ballester
- Department
of Mechanical and Materials Engineering and Nebraska Center for Materials
and Nanoscience, University of Nebraska at Lincoln, Lincoln, Nebraska 68588, United States
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7
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Hamad FG, Colby RH, Milner ST. Lifetime of Flow-Induced Precursors in Isotactic Polypropylene. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b01408] [Citation(s) in RCA: 53] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Fawzi G. Hamad
- Department of Chemical Engineering and ‡Department of Materials Science
and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Ralph H. Colby
- Department of Chemical Engineering and ‡Department of Materials Science
and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Scott T. Milner
- Department of Chemical Engineering and ‡Department of Materials Science
and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
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9
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Pérez R, Córdova M, López J, Hoskins J, Zhang B, Grayson S, Müller A. Nucleation, crystallization, self-nucleation and thermal fractionation of cyclic and linear poly(ε-caprolactone)s. REACT FUNCT POLYM 2014. [DOI: 10.1016/j.reactfunctpolym.2013.10.013] [Citation(s) in RCA: 60] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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10
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Sreenivas K, Kumaraswamy G. Large Amplitude Oscillatory Shear Induces Crystal Chain Orientation in Velocity Gradient Direction. ACS Macro Lett 2014; 3:6-9. [PMID: 35632860 DOI: 10.1021/mz4005716] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Imposition of large amplitude oscillatory shear (LAOS) on crystallizing polymer melts results in lamellar orientation in the shear gradient direction, in contrast to the flow-orientation observed for steady shear. LAOS enhances the formation of plate-like nuclei and orients their normals in the gradient direction. An Arrhenius temperature dependence (with activation energy ≈ 226 kJ/mol) characterizes the relaxation of crystal orientation with annealing.
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Affiliation(s)
- K. Sreenivas
- Complex Fluids and Polymer Engineering, CSIR-National Chemical Laboratory, India
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12
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Smirnova J, Silva L, Monasse B, Chenot JL, Haudin JM. Structure Development in Injection Molding: A 3D Simulation with a Differential Formulation of the Kinetic Equations. INT POLYM PROC 2013. [DOI: 10.3139/217.1873] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Abstract
The purpose of the present work is to introduce a crystallization law into Rem3D, a 3D code written in C++ and dedicated to the injection molding of polymers. We kept the basic hypotheses of Avrami's model and cast the kinetic equations into a differential system that is solved numerically. The variation of the density of potential nuclei with temperature is taken into account. Furthermore, the distribution of mean spherulite sizes can be deduced from the calculations. The second part of the paper is an experimental study of crystallization in well-controlled conditions (2D, isothermal or constant cooling-rate). It establishes a procedure for the determination of the nucleation and growth parameters used in the theoretical model, and gives a first validation of this model. Finally, the crystallization equations are introduced into Rem3D, in order to assess the feasibility of our new approach. Some typical results concerning the evolution of the transformed volume fraction in injection-molded parts are presented.
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Affiliation(s)
- J. Smirnova
- Centre de Mise en Forme des Matériaux, Ecole des Mines de Paris, Sophia-Antipolis, France
| | - L. Silva
- Centre de Mise en Forme des Matériaux, Ecole des Mines de Paris, Sophia-Antipolis, France
| | - B. Monasse
- Centre de Mise en Forme des Matériaux, Ecole des Mines de Paris, Sophia-Antipolis, France
| | - J.-L. Chenot
- Centre de Mise en Forme des Matériaux, Ecole des Mines de Paris, Sophia-Antipolis, France
| | - J.-M. Haudin
- Centre de Mise en Forme des Matériaux, Ecole des Mines de Paris, Sophia-Antipolis, France
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13
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14
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Lamberti G. Flow-induced crystallization during isotactic polypropylene film casting. POLYM ENG SCI 2011. [DOI: 10.1002/pen.21891] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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15
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Cavallo D, Azzurri F, Balzano L, Funari SS, Alfonso GC. Flow Memory and Stability of Shear-Induced Nucleation Precursors in Isotactic Polypropylene. Macromolecules 2010. [DOI: 10.1021/ma1020193] [Citation(s) in RCA: 117] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Dario Cavallo
- Dipartimento di Chimica e Chimica Industriale, Università di Genova, via Dodecaneso 31, 16146 Genova, Italy
| | - Fiorenza Azzurri
- Dipartimento di Chimica e Chimica Industriale, Università di Genova, via Dodecaneso 31, 16146 Genova, Italy
| | - Luigi Balzano
- Department of Mechanical Engineering, Eindhoven University of Technology P.O. Box 513, 5600 MB Eindhoven, The Netherlands
| | - Sérgio S. Funari
- Hamburger Synchrotronstrahlungslabor (HASYLAB)/Deutsches Elektronen-Synchrotron (DESY), Notkestrasse 85, D-22603 Hamburg, Germany
| | - Giovanni C. Alfonso
- Dipartimento di Chimica e Chimica Industriale, Università di Genova, via Dodecaneso 31, 16146 Genova, Italy
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16
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Custódio FJMF, Steenbakkers RJA, Anderson PD, Peters GWM, Meijer HEH. Model Development and Validation of Crystallization Behavior in Injection Molding Prototype Flows. MACROMOL THEOR SIMUL 2009. [DOI: 10.1002/mats.200900016] [Citation(s) in RCA: 70] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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17
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Song S, Feng J, Wu P, Yang Y. Shear-Enhanced Crystallization in Impact-Resistant Polypropylene Copolymer: Influence of Compositional Heterogeneity and Phase Structure. Macromolecules 2009. [DOI: 10.1021/ma9004764] [Citation(s) in RCA: 53] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Shijie Song
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, P.R. China
| | - Jiachun Feng
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, P.R. China
| | - Peiyi Wu
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, P.R. China
| | - Yuliang Yang
- Key Laboratory of Molecular Engineering of Polymers of Ministry of Education, Department of Macromolecular Science and Laboratory of Advanced Materials, Fudan University, Shanghai 200433, P.R. China
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An H, Li X, Geng Y, Wang Y, Wang X, Li L, Li Z, Yang C. Shear-Induced Conformational Ordering, Relaxation, and Crystallization of Isotactic Polypropylene. J Phys Chem B 2008; 112:12256-62. [DOI: 10.1021/jp802511b] [Citation(s) in RCA: 67] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Haining An
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Xiangyang Li
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Yong Geng
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Yunlong Wang
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Xiao Wang
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Liangbin Li
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Zhongming Li
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
| | - Chuanlu Yang
- National Synchrotron Radiation Laboratory and Department of Polymer Science and Engineering, University of Science and Technology of China, Hefei, China, College of Polymer Science and Engineering and State Key Laboratory of Polymer Materials Engineering, Sichuan University, Chengdu, China, and Department of Physics and Electrons, Ludong University, Yantai, China
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20
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Thermal Stability of Shear-Induced Shish-Kebab Precursor Structure from High Molecular Weight Polyethylene Chains. Macromolecules 2006. [DOI: 10.1021/ma052340g] [Citation(s) in RCA: 94] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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21
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Sun X, Li H, Zhang X, Wang J, Wang D, Yan S. Effect of Fiber Molecular Weight on the Interfacial Morphology of iPP Fiber/Matrix Single Polymer Composites. Macromolecules 2006. [DOI: 10.1021/ma0521102] [Citation(s) in RCA: 48] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- X. Sun
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
| | - H. Li
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
| | - X. Zhang
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
| | - J. Wang
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
| | - D. Wang
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
| | - S. Yan
- State Key Laboratory of Polymer Physics and Chemistry, Institute of Chemistry, The Chinese Academy of Sciences, Beijing 100080, P. R. China
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Somani RH, Sics I, Hsiao BS. Thermal stability of shear-induced precursor structures in isotactic polypropylene by rheo-X-ray techniques with couette flow geometry. ACTA ACUST UNITED AC 2006. [DOI: 10.1002/polb.21009] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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23
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Kwon K, Isayev A, Kim K, van Sweden C. Theoretical and experimental studies of anisotropic shrinkage in injection moldings of semicrystalline polymers. POLYM ENG SCI 2006. [DOI: 10.1002/pen.20546] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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24
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Stern C, Frick A, Weickert G. Relationship between the structure and mechanical properties of polypropylene: Effects of the molecular weight and shear-induced structure. J Appl Polym Sci 2006. [DOI: 10.1002/app.24156] [Citation(s) in RCA: 48] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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25
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Kwon K, Isayev AI, Kim KH. Theoretical and experimental studies of anisotropic shrinkage in injection moldings of various polyesters. J Appl Polym Sci 2006. [DOI: 10.1002/app.24807] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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26
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Lorenzo AT, Arnal ML, Sánchez JJ, Müller AJ. Effect of annealing time on the self-nucleation behavior of semicrystalline polymers. ACTA ACUST UNITED AC 2006. [DOI: 10.1002/polb.20832] [Citation(s) in RCA: 188] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Kim KH, Isayev A, Kwon K, van Sweden C. Modeling and experimental study of birefringence in injection molding of semicrystalline polymers. POLYMER 2005. [DOI: 10.1016/j.polymer.2005.02.057] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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29
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Isayev AI, Catignani BF. Crystallization and microstructure in quenched slabs of various molecular weight polypropylenes. POLYM ENG SCI 2004. [DOI: 10.1002/pen.11801] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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30
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31
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Guo X, Isayev AI, Demiray M. Crystallinity and microstructure in injection moldings of isotactic polypropylenes. Part II: Simulation and experiment. POLYM ENG SCI 2004. [DOI: 10.1002/pen.11603] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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32
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Kim KH, Isayev AI, Kwon K. Flow-induced crystallization in the injection molding of polymers: A thermodynamic approach. J Appl Polym Sci 2004. [DOI: 10.1002/app.21228] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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33
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34
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Guo X, Isayev AI, Guo L. Crystallinity and microstructure in injection moldings of isotactic polypropylenes. Part 1: A new approach to modeling and model parameters. POLYM ENG SCI 2004. [DOI: 10.1002/pen.11601] [Citation(s) in RCA: 71] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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35
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Farah M, Bretas RES. Characterization of i-PP shear-induced crystallization layers developed in a slit die. J Appl Polym Sci 2004. [DOI: 10.1002/app.13576] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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36
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Guo J, Narh KA. Simplified model of stress-induced crystallization kinetics of polymers. ADVANCES IN POLYMER TECHNOLOGY 2002. [DOI: 10.1002/adv.10022] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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37
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Wang Y, Cakmak M. Development of structural hierarchy in injection-molded PVDF and PVDF/PMMA blends. POLYMER 2001. [DOI: 10.1016/s0032-3861(00)00770-9] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Mubarak Y, Harkin-Jones E, Martin P, Ahmad M. Modeling of non-isothermal crystallization kinetics of isotactic polypropylene. POLYMER 2001. [DOI: 10.1016/s0032-3861(00)00606-6] [Citation(s) in RCA: 68] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Churdpunt Y, Isayev A. Comparison of Birefringence and Mechanical Properties of Injection Molded Metallocene and Ziegler-Natta Based Isotactic Polypropylene. JOURNAL OF POLYMER ENGINEERING 2000. [DOI: 10.1515/polyeng.2000.20.2.77] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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De Carvalho B, Bretas RES, Isayev AI. Crystallization and microstructure in quenched slabs of various molecular weight polypropylenes: Modified modeling and experiments. J Appl Polym Sci 1999. [DOI: 10.1002/(sici)1097-4628(19990906)73:10<2003::aid-app19>3.0.co;2-j] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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d'Ávila MA, Ahrens CH, Bretas RES. Simulação do processo de injeção de polipropileno isotático (iPP) utilizando um modelo de cinética de cristalização quiescente. POLIMEROS 1997. [DOI: 10.1590/s0104-14281997000400010] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Este trabalho concentrou-se na simulação das fases de preenchimento e resfriamento do processo de injeção do polipropileno isotático. Foi utilizado um modelo matemático baseado nas equações de conservação onde foi considerada a cinética de cristalização quiescente como termo fonte na equação da energia. Os parâmetros do modelo de cinética de cristalização, assim como os do modelo de viscosidade, foram obtidos experimentalmente. Para a solução das equações governantes foi utilizado o método dos volumes finitos. Como resultados foram obtidos os campos de temperatura, pressão, velocidade, taxa de cisalhamento e cristalinidade em diferentes condições de processamento.
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