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Song J, Holten-Andersen N, McKinley GH. Non-Maxwellian viscoelastic stress relaxations in soft matter. SOFT MATTER 2023; 19:7885-7906. [PMID: 37846782 DOI: 10.1039/d3sm00736g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/18/2023]
Abstract
Viscoelastic stress relaxation is a basic characteristic of soft matter systems such as colloids, gels, and biological networks. Although the Maxwell model of linear viscoelasticity provides a classical description of stress relaxation, it is often not sufficient for capturing the complex relaxation dynamics of soft matter. In this Tutorial, we introduce and discuss the physics of non-Maxwellian linear stress relaxation as observed in soft materials, the ascribed origins of this effect in different systems, and appropriate models that can be used to capture this relaxation behavior. We provide a basic toolkit that can assist the understanding and modeling of the mechanical relaxation of soft materials for diverse applications.
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Affiliation(s)
- Jake Song
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA.
| | - Niels Holten-Andersen
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
- Department of Bioengineering, Lehigh University, Bethlehem, PA 18015, USA
- Department of Materials Science and Engineering, Lehigh University, Bethlehem, PA 18015, USA
| | - Gareth H McKinley
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
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2
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Zykova VA, Adichtchev SV, Novikov VN, Surovtsev NV. Second-order-derivative analysis of structural relaxation time in the elastic model of glass-forming liquids. Phys Rev E 2020; 101:052610. [PMID: 32575277 DOI: 10.1103/physreve.101.052610] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2019] [Accepted: 04/23/2020] [Indexed: 06/11/2023]
Abstract
Recently it was shown [V. N. Novikov and A. P. Sokolov, Phys. Rev. E 92, 062304 (2015)10.1103/PhysRevE.92.062304] that the second derivative with respect to inverse temperature of the structural relaxation time in some supercooled molecular liquids has a sharp maximum. It marks the point at which the apparent activation energy begins to saturate with decreasing temperature. The elastic model of glass-forming liquids expresses the temperature dependence of the structural relaxation time through that of the shear modulus. In this paper, we test whether this model is able to predict the maximum of the second derivative. We confirm its presence in the elastic model by analyzing the temperature dependence of the Brillouin light scattering in salol. This is a very subtle feature of the temperature dependence, which is greatly enhanced when taking derivatives. Its presence in the Brillouin data provides strong support to the elastic model of glass-forming liquids.
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Affiliation(s)
- V A Zykova
- Institute of Automation and Electrometry, Russian Academy of Sciences, Novosibirsk, 630090, Russia
| | - S V Adichtchev
- Institute of Automation and Electrometry, Russian Academy of Sciences, Novosibirsk, 630090, Russia
| | - V N Novikov
- Institute of Automation and Electrometry, Russian Academy of Sciences, Novosibirsk, 630090, Russia
| | - N V Surovtsev
- Institute of Automation and Electrometry, Russian Academy of Sciences, Novosibirsk, 630090, Russia
- Novosibirsk State University, Novosibirsk, 630090, Russia
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3
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Rios de Anda A, Fillot LA, Long DR, Sotta P. Influence of the amorphous phase molecular mobility on impact and tensile properties of polyamide 6,6. J Appl Polym Sci 2016. [DOI: 10.1002/app.43457] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Agustín Rios de Anda
- Laboratoire Polymères et Matériaux Avancés, CNRS/Solvay UMR 5268; Solvay in Axel'one, 87 rue Frères Perret, 69192 Saint Fons Cedex France
| | - Louise-Anne Fillot
- Laboratoire Polymères et Matériaux Avancés, CNRS/Solvay UMR 5268; Solvay in Axel'one, 87 rue Frères Perret, 69192 Saint Fons Cedex France
| | - Didier R. Long
- Laboratoire Polymères et Matériaux Avancés, CNRS/Solvay UMR 5268; Solvay in Axel'one, 87 rue Frères Perret, 69192 Saint Fons Cedex France
| | - Paul Sotta
- Laboratoire Polymères et Matériaux Avancés, CNRS/Solvay UMR 5268; Solvay in Axel'one, 87 rue Frères Perret, 69192 Saint Fons Cedex France
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Li D, Yang Y, Yang C, Lai D. Synthesis and Characterization of a Novel High-Temperature Structural Adhesive Based on MDA-BAPP-BTDA Co-Polyimide. JOURNAL OF MACROMOLECULAR SCIENCE PART A-PURE AND APPLIED CHEMISTRY 2015. [DOI: 10.1080/10601325.2015.1039327] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Kim S, Shinzawa H, Chung H, Ozaki Y. Measurement of polyethylene pellets near the glass transition temperature to enhance Raman spectral selectivity among samples and improve accuracy for density determination. Analyst 2015; 140:1906-12. [DOI: 10.1039/c4an02144d] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A simple and effective strategy for improving the accuracy of the multivariate determination of polyethylene (PE) density using Raman spectroscopy has been demonstrated.
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Affiliation(s)
- Saetbyeol Kim
- Department of Chemistry and Research Institute for Natural Sciences
- Hanyang University
- Seoul
- Korea
| | - Hideyuki Shinzawa
- National Institute of Advanced Industrial Science and Technology (AIST)
- Nagoya
- Japan
| | - Hoeil Chung
- Department of Chemistry and Research Institute for Natural Sciences
- Hanyang University
- Seoul
- Korea
| | - Yukihiro Ozaki
- Department of Chemistry
- School of Science & Technology
- Kwansei-Gakuin University
- Sanda
- Japan
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Mirigian S, Schweizer KS. Elastically cooperative activated barrier hopping theory of relaxation in viscous fluids. I. General formulation and application to hard sphere fluids. J Chem Phys 2014; 140:194506. [DOI: 10.1063/1.4874842] [Citation(s) in RCA: 119] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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Ngai KL, Capaccioli S, Paluch M, Prevosto D. Temperature Dependence of the Structural Relaxation Time in Equilibrium below the Nominal Tg: Results from Freestanding Polymer Films. J Phys Chem B 2014; 118:5608-14. [DOI: 10.1021/jp502846t] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- K. L. Ngai
- Dipartimento
di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127, Pisa, Italy
- CNR-IPCF, Institute for Chemical and Physical Processes, Largo B. Pontecorvo 3, I-56127, Pisa, Italy
| | - Simone Capaccioli
- Dipartimento
di Fisica, Università di Pisa, Largo B. Pontecorvo 3, I-56127, Pisa, Italy
- CNR-IPCF, Institute for Chemical and Physical Processes, Largo B. Pontecorvo 3, I-56127, Pisa, Italy
| | - Marian Paluch
- Institute
of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
| | - Daniele Prevosto
- CNR-IPCF, Institute for Chemical and Physical Processes, Largo B. Pontecorvo 3, I-56127, Pisa, Italy
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Wojnarowska Z, Ngai KL, Paluch M. Deducting the temperature dependence of the structural relaxation time in equilibrium far below the nominal Tg by aging the decoupled conductivity relaxation to equilibrium. J Chem Phys 2014; 140:174502. [DOI: 10.1063/1.4872260] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
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Di X, Peng X, McKenna GB. Dynamics of a thermo-responsive microgel colloid near to the glass transition. J Chem Phys 2014; 140:054903. [DOI: 10.1063/1.4863327] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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10
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Using 20-million-year-old amber to test the super-Arrhenius behaviour of glass-forming systems. Nat Commun 2013; 4:1783. [DOI: 10.1038/ncomms2809] [Citation(s) in RCA: 195] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/07/2012] [Accepted: 03/24/2013] [Indexed: 11/09/2022] Open
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Potuzak M, Guo X, Smedskjaer MM, Mauro JC. Are the dynamics of a glass embedded in its elastic properties? J Chem Phys 2013; 138:12A501. [DOI: 10.1063/1.4730525] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
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Klieber C, Hecksher T, Pezeril T, Torchinsky DH, Dyre JC, Nelson KA. Mechanical spectra of glass-forming liquids. II. Gigahertz-frequency longitudinal and shear acoustic dynamics in glycerol and DC704 studied by time-domain Brillouin scattering. J Chem Phys 2013; 138:12A544. [DOI: 10.1063/1.4789948] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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13
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Affiliation(s)
- H. Henning Winter
- Department
of Chemical Engineering and Department of
Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts 01003, United States
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14
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Dyre JC, Wang WH. The instantaneous shear modulus in the shoving model. J Chem Phys 2012; 136:224108. [DOI: 10.1063/1.4724102] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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Zhao J, McKenna GB. Temperature divergence of the dynamics of a poly(vinyl acetate) glass: Dielectric vs. mechanical behaviors. J Chem Phys 2012; 136:154901. [DOI: 10.1063/1.3701736] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wang L. Extracting energy and structure properties of glass-forming liquids from structural relaxation time. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:155103. [PMID: 22436503 DOI: 10.1088/0953-8984/24/15/155103] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
A comprehensive examination of the kinetic liquid model (Wang et al 2010 J. Phys.: Condens. Matter 22 455104) is carried out by fitting the structural relaxation time of 26 different glass-forming liquids in a wide temperature range, including most of the well-studied materials. Careful analysis of the compiled reported data reveals that experimental inaccuracies should not be overlooked in any 'benchmark test' of relating theories or models (e.g. in Lunkenheimer et al 2010 Phys. Rev. E 81 051504). The procedure, accuracy, ability, and efficiency of the kinetic liquid model are discussed in detail and in comparison with other available fitting methods. In general, the kinetic liquid model could be verified by 17 of the 26 compiled data sets and can serve as a meaningful approximative method for analyzing these liquids. Nonetheless, further experimental examinations in a wide temperature range are needed and are called for. Through fitting, the microscopic details of these liquids are extracted, namely, the enthalpy, entropy, and cooperativity in structural relaxation, which may facilitate further quantitative analysis to both the liquidus and glassy states of these materials.
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Affiliation(s)
- Lianwen Wang
- Institute of Materials Science and Engineering, MOE Key Laboratory for Magnetism and Magnetic Materials, School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, People's Republic of China.
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Puosi F, Leporini D. Communication: Correlation of the instantaneous and the intermediate-time elasticity with the structural relaxation in glassforming systems. J Chem Phys 2012; 136:041104. [DOI: 10.1063/1.3681291] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
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Zhang H, Kalvapalle P, Douglas JF. String-Like Collective Atomic Motion in the Melting and Freezing of Nanoparticles. J Phys Chem B 2011; 115:14068-76. [DOI: 10.1021/jp203765x] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hao Zhang
- Department of Chemical and Materials Engineering, University of Alberta, Alberta, T6G 2 V4 Canada
| | - Pranav Kalvapalle
- Department of Chemical and Materials Engineering, University of Alberta, Alberta, T6G 2 V4 Canada
| | - Jack F. Douglas
- Polymers Division, NIST, Gaithersburg, Maryland 20899, United States
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