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Wang Z, Zhang K, Wang H, Wu X, Wang H, Weng C, Li Y, Liu S, Yang J. Strengthening Interfacial Adhesion and Foamability of Immiscible Polymer Blends via Rationally Designed Reactive Macromolecular Compatibilizers. ACS APPLIED MATERIALS & INTERFACES 2022; 14:45832-45843. [PMID: 36169636 DOI: 10.1021/acsami.2c12383] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/16/2023]
Abstract
Foams made of immiscible polymer blends have attracted great interest in both academia and industry, because of the integration of desirable properties of different polymers in a hybrid foam. However, the foamability and end-use properties are hampered because of the poor interfacial strength within the immiscible blends. Furthermore, few investigations have been carried out on the mechanisms by which interfacial strength and structure affect the foamability of polymer blends. In this work, two different reactive interfacial compatibilizers, i.e., poly(styrene-co-glycidyl methacrylate)-graft-poly(l-lactide) and poly(styrene-co-glycidyl methacry-late)-graft-poly(d-lactide), abbreviated as SG-g-PLLA and SG-g-PDLA, respectively, were designed and synthesized through reactive melt blending and subsequently applied to strengthen the interfacial strength and foamability of immiscible poly(butylene adipate-co-terephthalate) (PBAT)/poly(l-lactide) (PLLA) blends. Both compatibilizers could remarkably enhance the interfacial strength and foamability of the PBAT/PLLA blends, as evidenced by the significantly elongated dispersed phase in the resulting cocontinuous phase and more than 7000-fold increase in the cell density. Furthermore, the improved foamability was quantitively explained by the reduced gas diffusion and increased melt strength. Strikingly, the SG-g-PDLA introduced a stereocomplex crystal at the interface (i-SC), providing highly strengthened interfaces and nanoscale heterogeneous nucleation sites, which led to an energetically favorable cell nucleation. Moreover, foams with specifically laminated cell structures were fabricated by combining pressure-induced flow processing and i-SC strengthened interfaces. This work provides insight into the relationship between interfacial strength and formability of immiscible polymer blends and offers new possibilities for controlling cell morphologies and designing unique cell structures for polymer foams.
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Affiliation(s)
- Zhen Wang
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Kailiang Zhang
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Hengti Wang
- College of Material, Chemistry and Chemical Engineering, Key Laboratory of Organosilicon Chemistry and Material Technology, Ministry of Education, Hangzhou Normal University, Hangzhou 311121, Zhejiang, People's Republic of China
| | - Xinyu Wu
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Hanyu Wang
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Chenglong Weng
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Yongjin Li
- College of Material, Chemistry and Chemical Engineering, Key Laboratory of Organosilicon Chemistry and Material Technology, Ministry of Education, Hangzhou Normal University, Hangzhou 311121, Zhejiang, People's Republic of China
| | - Shanqiu Liu
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
| | - Jintao Yang
- College of Materials Science & Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, P. R. China
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2
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Tuning the dual- and triple-shape-memory effect of thermoplastic polyurethane/polylactic acid/poly(propylene carbonate) ternary blends via morphology control. POLYMER 2022. [DOI: 10.1016/j.polymer.2022.124546] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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3
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Shi G, Huang C, Cao X, Liu M, Zhang J, Zheng K, Ma Y. Triple shape memory effect of ethylene-vinyl acetate copolymer/poly(propylene carbonate) blends with broad composite ratios and phase morphologies. POLYMER 2021. [DOI: 10.1016/j.polymer.2021.124144] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
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4
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Zhang H, Wei X, Qu JP. Microstructure evolution and mechanism of PLA/PVDF hybrid dielectrics fabricated under elongational flow. POLYMER 2021. [DOI: 10.1016/j.polymer.2021.123719] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
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5
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Ding Y, Chen X, Huang D, Fan B, Pan L, Zhang K, Li Y. Post-chemical grafting poly(methyl methacrylate) to commercially renewable elastomer as effective modifiers for polylactide blends. Int J Biol Macromol 2021; 181:718-733. [PMID: 33811931 DOI: 10.1016/j.ijbiomac.2021.03.139] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2021] [Revised: 03/20/2021] [Accepted: 03/23/2021] [Indexed: 11/30/2022]
Abstract
A novel poly(epichlorohydrin-co-ethylene oxide)-g-poly(methyl methacrylate) copolymer (ECO-g-PMMA) was successfully synthesized from a commercially renewable elastomer via the ATRP method. The graft copolymer was investigated as a toughening agent and compatibilizer for polylactide (PLA) and PLA/ECO blends, respectively. Binary blending PLA with the copolymers (5-15 wt%) significantly improved the strain at break of PLA above 200% without a great strength loss. More importantly, the ternary PLA/ECO/ECO-g-PMMA copolymer blends exhibited a remarkably high impact strength of 96.9 kJ/m2 with non-broken behaviors. An interesting phase structure transformation from a typical sea-island structure to a unique quasi-continuous network structure was observed with varying the content of ECO-g-PMMA from 0 to 15 wt% in the ternary blends. The native toughening mechanism analysis indicated the synergistic toughening effect of the good interfacial adhesion and unique quasi-continuous morphology endowed the ternary blends with excellent mechanical performance.
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Affiliation(s)
- Yingli Ding
- School of Chemical Engineering and Technology, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China
| | - Xiangjian Chen
- Tianjin Key Laboratory of Composite and Functional Materials, School of Materials Science and Engineering, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China
| | - Dong Huang
- Tianjin Key Laboratory of Composite and Functional Materials, School of Materials Science and Engineering, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China
| | - Baomin Fan
- Beijing Key Laboratory of Quality Evaluation Technology for Hygiene and Safety of Plastics, Beijing Technology and Business University, Beijing 100048, China
| | - Li Pan
- Tianjin Key Laboratory of Composite and Functional Materials, School of Materials Science and Engineering, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China.
| | - Kunyu Zhang
- School of Chemical Engineering and Technology, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China.
| | - Yuesheng Li
- Tianjin Key Laboratory of Composite and Functional Materials, School of Materials Science and Engineering, Tianjin University, Peiyang Park Campus: No.135 Yaguan Road, Haihe Education Park, Tianjin 300350, China
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6
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Yang Z, Chen Y, Liu X, Yin B, Yang M. Fabrication of poly(ε‐caprolactone) (
PCL)
/poly(propylene carbonate) (
PPC)
/ethylene‐α‐octene block copolymer (
OBC)
triple shape memory blends with cycling performance by constructing a co‐continuous phase morphology. POLYM INT 2020. [DOI: 10.1002/pi.6005] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Zi‐xuan Yang
- College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials EngineeringSichuan University Chengdu People's Republic of China
| | - Yi Chen
- College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials EngineeringSichuan University Chengdu People's Republic of China
| | - Xu Liu
- College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials EngineeringSichuan University Chengdu People's Republic of China
| | - Bo Yin
- College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials EngineeringSichuan University Chengdu People's Republic of China
| | - Ming‐bo Yang
- College of Polymer Science and Engineering, State Key Laboratory of Polymer Materials EngineeringSichuan University Chengdu People's Republic of China
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7
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Li Q, Wang L, Lin J, Xu Z. Distinctive Morphology Modifiers for Polymer Blends: Roles of Asymmetric Janus Nanoparticles during Phase Separation. J Phys Chem B 2020; 124:4619-4630. [PMID: 32379453 DOI: 10.1021/acs.jpcb.0c02165] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Janus nanoparticles (JPs), which are anisotropic nanoparticles with multiple constituting parts, have been recognized as superior compatibilizers for polymer-blend-based nanocomposites. However, so far, most studies focused on the effects of symmetric JPs on the phase separation dynamics of polymer blends, while the roles of asymmetric JPs during phase separation remain unclear. In this work, the phase separation dynamics of symmetric blends compatibilized by JPs with various compositions was studied by using dissipative particle dynamics (DPD) simulations. It was found that the blends compatibilized by asymmetric JPs tend to undergo morphological transitions from bicontinuous networks to droplets-in-matrix structures at the late stage of phase separation, which is due to the influence of asymmetric JPs on the energetically favored curvature of the interfaces between polymer domains. Such a mechanism is absent for symmetric JPs and other compatibilizers (e.g., triblock copolymers and homogeneous particles) because they lack the unique combination of chemical asymmetry with the particulate nature like the asymmetric JPs. Moreover, it was observed that the asymmetric JPs can stably localize at the interfaces and act as efficient compatibilizers only when the fraction of the minor constituent part exceeds a critical value. These findings not only shed light upon the roles of asymmetric JPs as compatibilizers but also indicate a promising strategy for designing polymer-blend-based nanocomposites with tailor-made structures.
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Affiliation(s)
- Qing Li
- Shanghai Key Laboratory of Advanced Polymeric Materials, Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Liquan Wang
- Shanghai Key Laboratory of Advanced Polymeric Materials, Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Jiaping Lin
- Shanghai Key Laboratory of Advanced Polymeric Materials, Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Zhanwen Xu
- Shanghai Key Laboratory of Advanced Polymeric Materials, Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
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8
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Moyses S, Ramakrishnan V, Lietzau C, Bajaj P. The effect of in situ‐formed copolymers on the morphology of reactive poly(phenylene ether)/poly(amide‐6) blends. JOURNAL OF POLYMER SCIENCE 2020. [DOI: 10.1002/pol.20200017] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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9
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Yang X, Song J, Wang H, Lin Q, Jin X, Yang X, Li Y. Reactive Comb Polymer Compatibilized Immiscible PVDF/PLLA Blends: Effects of the Main Chain Structure of Compatibilizer. Polymers (Basel) 2020; 12:E526. [PMID: 32121651 PMCID: PMC7182944 DOI: 10.3390/polym12030526] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/07/2020] [Revised: 02/10/2020] [Accepted: 02/13/2020] [Indexed: 11/29/2022] Open
Abstract
The compatibilizer with double comb structure has a superior compatibilizing effect for immiscible polymer blends due to the symmetrical structure on both sides of main chains. Extensive study related to the architectural effects of compatibilizer on the compatibilization has mainly focused on the side chains. We investigated the influence of the compatibilizer-main-chain structure on the compatibilizing effect for immiscible poly(vinylidene fluoride)/poly(L-lactic acid) (PVDF/PLLA) blends. Two reactive-comb compatibilizers with polystyrene (PS) and polymethylmethacrylate (PMMA) as main chains and PMMA as the side chains have been synthesized. PS is immiscible with both PLLA and PVDF, while PMMA is miscible with PVDF. It was found that both compatibilizers can improve the compatibility between the PLLA and PVDF, with different compatibilization effects. In the PVDF/PLLA (50/50) blends, 1 wt.% poly(styrene-co-glycidyl methacrylate)-graft-poly(methyl methacrylate) (RC-SG) tuned the morphology from the droplet-in-matrix structure to the co-continuous structure, while the blends with poly(methyl methacrylate-co-glycidyl methacrylate)-graft-poly(methyl methacrylate) (RC-MMG) kept the sea-island structure with even 3 wt.% loading. Moreover, RC-SG induces a wider co-continuous interval range than RC-MMG. The co-continuous structure obtained by RC-SG was also more stable than that by RC-MMG. It was further found that RC-SG-compatibilized PVDF/PLLA blends exhibit higher mechanical properties than the RC-MMG-compatibilized blends.
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Affiliation(s)
- Xin Yang
- College of Materials, Chemistry and Chemical Engineering, Hangzhou Normal University, No. 2318 Yuhangtang Rd., Hangzhou 311121, China; (X.Y.); (H.W.); (Q.L.)
| | - Jinxing Song
- Transfar Zhilian Co. Ltd., Hangzhou 311215, China; (J.S.); (X.J.); (X.Y.)
| | - Hengti Wang
- College of Materials, Chemistry and Chemical Engineering, Hangzhou Normal University, No. 2318 Yuhangtang Rd., Hangzhou 311121, China; (X.Y.); (H.W.); (Q.L.)
| | - Qingqing Lin
- College of Materials, Chemistry and Chemical Engineering, Hangzhou Normal University, No. 2318 Yuhangtang Rd., Hangzhou 311121, China; (X.Y.); (H.W.); (Q.L.)
| | - Xianhua Jin
- Transfar Zhilian Co. Ltd., Hangzhou 311215, China; (J.S.); (X.J.); (X.Y.)
| | - Xin Yang
- Transfar Zhilian Co. Ltd., Hangzhou 311215, China; (J.S.); (X.J.); (X.Y.)
| | - Yongjin Li
- College of Materials, Chemistry and Chemical Engineering, Hangzhou Normal University, No. 2318 Yuhangtang Rd., Hangzhou 311121, China; (X.Y.); (H.W.); (Q.L.)
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10
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Ramachandran AA, Reghunadhan A, Kunjappan AM, Mathew LP, Thomas S, Laroze D, Strankowski M. Synergistic effect of MWCNTs and MA- g-PP on the thermal and viscoelastic properties of immiscible PTT/PP blends. NEW J CHEM 2020. [DOI: 10.1039/d0nj02970j] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
The properties of immiscible blends of PTT and PP were modified by grafting and nanoparticle inclusion.
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Affiliation(s)
- Ajitha Anthickamalil Ramachandran
- International and Inter University Centre for Nanoscience and Nanotechnology
- Mahatma Gandhi University
- Kottayam
- India
- Department of Chemistry
| | - Arunima Reghunadhan
- International and Inter University Centre for Nanoscience and Nanotechnology
- Mahatma Gandhi University
- Kottayam
- India
- Department of Chemistry
| | - Aswathi Madathinal Kunjappan
- International and Inter University Centre for Nanoscience and Nanotechnology
- Mahatma Gandhi University
- Kottayam
- India
| | - Lovely P. Mathew
- International and Inter University Centre for Nanoscience and Nanotechnology
- Mahatma Gandhi University
- Kottayam
- India
| | - Sabu Thomas
- International and Inter University Centre for Nanoscience and Nanotechnology
- Mahatma Gandhi University
- Kottayam
- India
- School of Chemical Sciences
| | - David Laroze
- Instituto de Alta Investigación
- CEDENNA
- Universidad de Tarapacá
- Casilla 7D
- Chile
| | - Michał Strankowski
- Gdansk University of Technology
- Chemical Faculty
- Polymer Technology Dept
- 80-233 Gdansk
- Poland
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11
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Lei G, Zhen W. Poly(lactic acid)/opal-methacryloylpropyltrimethoxysilane-polystyrene graft polymer composites: preparation, characterization, and performance. IRANIAN POLYMER JOURNAL 2019. [DOI: 10.1007/s13726-019-00777-5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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12
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Application of β-Cyclodextrin-Modified/PVDF Blend Magnetic Membranes for Direct Metal Ions Removal from Wastewater. J Inorg Organomet Polym Mater 2019. [DOI: 10.1007/s10904-019-01416-5] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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13
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Li F, Zhang Y, Zhao X, Chen Q, Li Y, You J. Graft ratio: Quantitative measurement and direct evidence for its blending sequence dependence during reactive compatibilization in PVDF/PLLA. POLYMER 2019. [DOI: 10.1016/j.polymer.2019.121970] [Citation(s) in RCA: 4] [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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14
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Ramachandran AA, Mathew LP, Thomas S. Effect of MA-g-PP compatibilizer on morphology and electrical properties of MWCNT based blend nanocomposites: New strategy to enhance the dispersion of MWCNTs in immiscible poly (trimethylene terephthalate)/polypropylene blends. Eur Polym J 2019. [DOI: 10.1016/j.eurpolymj.2019.06.027] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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15
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Copolymers containing two types of reactive groups: New compatibilizer for immiscible PLLA/PA11 polymer blends. POLYMER 2019. [DOI: 10.1016/j.polymer.2019.05.074] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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16
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Cleavage of the Graft Bonds in PVDF- g-St Films by Boiling Xylene Extraction and the Determination of the Molecular Weight of the Graft Chains. Polymers (Basel) 2019; 11:polym11071098. [PMID: 31261766 PMCID: PMC6681020 DOI: 10.3390/polym11071098] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2019] [Revised: 06/25/2019] [Accepted: 06/27/2019] [Indexed: 02/02/2023] Open
Abstract
To determine the molecular weight of graft chains in grafted films, the polystyrene graft chains of PVDF-g-St films synthesized by a pre-irradiation graft method are cleaved and separated by boiling xylene extraction. The analysis of the extracted material and the residual films by FTIR, nuclear magnetic resonance (NMR), and gel permeation chromatography (GPC) analyses indicates that most graft chains are removed from the PVDF-g-St films within 72 h of extraction time. Furthermore, the molecular weight of the residual films decreases quickly within 8 h of extraction and then remains virtually unchanged up to 72 h after extraction time. The degradation is due to the cleavage of graft bonds, which is mainly driven by the thermal degradation and the swelling of graft chains in solution. This allows determination of the molecular weight of graft chains by GPC analysis of the extracted material. The results indicate that the PVDF-g-St prepared in this study has the structure where one or two graft chains hang from each PVDF backbone.
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17
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Behera K, Yadav M, Chiu FC, Rhee KY. Graphene Nanoplatelet-Reinforced Poly(vinylidene fluoride)/High Density Polyethylene Blend-Based Nanocomposites with Enhanced Thermal and Electrical Properties. NANOMATERIALS (BASEL, SWITZERLAND) 2019; 9:E361. [PMID: 30836668 PMCID: PMC6474021 DOI: 10.3390/nano9030361] [Citation(s) in RCA: 26] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/29/2019] [Revised: 02/21/2019] [Accepted: 02/25/2019] [Indexed: 11/16/2022]
Abstract
In this study, a graphene nanoplatelet (GNP) was used as a reinforcing filler to prepare poly(vinylidene fluoride) (PVDF)/high density polyethylene (HDPE) blend-based nanocomposites through a melt mixing method. Scanning electron microscopy confirmed that the GNP was mainly distributed within the PVDF matrix phase. X-ray diffraction analysis showed that PVDF and HDPE retained their crystal structure in the blend and composites. Thermogravimetric analysis showed that the addition of GNP enhanced the thermal stability of the blend, which was more evident in a nitrogen environment than in an air environment. Differential scanning calorimetry results showed that GNP facilitated the nucleation of PVDF and HDPE in the composites upon crystallization. The activation energy for non-isothermal crystallization of PVDF increased with increasing GNP loading in the composites. The Avrami n values ranged from 1.9⁻3.8 for isothermal crystallization of PVDF in different samples. The Young's and flexural moduli of the blend improved by more than 20% at 2 phr GNP loading in the composites. The measured rheological properties confirmed the formation of a pseudo-network structure of GNP-PVDF in the composites. The electrical resistivity of the blend reduced by three orders at a 3-phr GNP loading. The PVDF/HDPE blend and composites showed interesting application prospects for electromechanical devices and capacitors.
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Affiliation(s)
- Kartik Behera
- Department of Chemical and Materials Engineering, Chang Gung University, Taoyuan 333, Taiwan.
| | - Mithilesh Yadav
- Department of Chemical and Materials Engineering, Chang Gung University, Taoyuan 333, Taiwan.
| | - Fang-Chyou Chiu
- Department of Chemical and Materials Engineering, Chang Gung University, Taoyuan 333, Taiwan.
- Department of General Dentistry, Chang Gung Memorial Hospital, Taoyuan 333, Taiwan.
| | - Kyong Yop Rhee
- Department of Mechanical Engineering, College of Engineering, Kyung Hee University, Yongin 446-701, Korea.
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