Abstract
Multiscale coarse-grained (CG) models are expected to play the critical roles in molecular simulations of complex polymers. However, this poses a great challenge for accurately simulating their thermomechanical properties, for which excellent representability and transferability are required for the CG potentials. In this work, virtual sites and elastic network bonds are introduced to improve the structural and volumetric property–based CG models including explicit electrostatic interactions, which is exemplarily applied to the iso- and syndio-tactic poly(methyl methacrylate). A variety of thermomechanical properties of the two stereoregular polymer bulks are reasonably reproduced by the extensive molecular dynamics simulations with the so-parameterized CG potentials. In particular, the attractive nature of electrostatic interactions and tacticity effects on glass transition temperatures (Tg) are well captured. Furthermore, stronger electrostatic interactions lead to higher mass density and bulk modulus, and their effects on Young’s modulus, Poisson’s ratio, and shear modulus depend upon the chain tacticity. It is also demonstrated that all these elastic constants can be effectively modulated by imposing external electric field. The proposed multiscale scheme can be very valuable to molecular designs of polar polymer materials.
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References
Tschop W, Kremer K, Batoulis J, Burger T, Hahn O (1998) Simulation of polymer melts. I Coarse-graining procedure for polycarbonates. Acta Polymer 49:61–74
Fritz D, Harmandaris VA, Kremer K, van der Vegt NFA (2009) Coarse-grained polymer melts based on isolated atomistic chains: simulation of polystyrene of different tacticities. Macromolecules 42:7579–7588
Muller-Plathe F (2002) Coarse-graining in polymer simulation: from the atomistic to the mesoscopic scale and back. ChemPhysChem 3:754–769
Klein ML, Shinoda W (2008) Large-scale molecular dynamics simulations of self-assembling systems. Science 321:798–800
Voth GA (2009) Coarse-graining of condensed phase and biomolecular systems. CRC Press, London
Brini E, Algaer EA, Ganguly P, Li C, Rodrıguez-Ropero F, van der Vegt NFA (2013) Systematic coarse-graining methods for soft matter simulations – a review. Soft Matter 9:2108–2119
Moore TC, Iacovella CR, McCabe C (2014) Derivation of coarse-grained potentials via multistate iterative boltzmann inversion. J Chem Phys 140:224104
Huang H, Wu L, Xiong H, Sun H (2019) A transferrable coarse-grained force field for simulations of polyethers and polyether blends. Macromolecules 52:249–261
Xia W, Song J, Jeong C, Hsu DD, Frederick R, Phelan J, Douglas JF, Keten S (2017) Energy-renormalization for achieving temperature transferable coarse-graining of polymer dynamics. Macromolecules 50:8787–8796
Kempfer K, Devemy J, Dequidt A, Couty M, Malfreyt P (2019) Realistic coarse-grain model of cis-1,4-polybutadiene: from chemistry to rheology. Macromolecules 52:2736–2747
Fu C-C, Kulkarni PM, Shell MS, Leal LG (2012) A test of systematic coarse-graining of molecular dynamics simulations: thermodynamic properties. J Chem Phys 137:164106
Root SE, Savagatrup S, Pais CJ, Arya G, Lipomi DJ (2016) Predicting the mechanical properties of organic semiconductors using coarse-grained molecular dynamics simulations. Macromolecules 49:2886–2894
Xiao Q, Guo H (2016) Transferability of a coarse-grained atactic polystyrene model: the non-bonded potential effect. Phys Chem Chem Phys 18:29808–29824
Hsu DD, Xia W, Arturo SG, Keten S (2015) Thermomechanically consistent and temperature transferable coarse-graining of atactic polystyrene. Macromolecules 48:3057–3068
Wu C (2018) Multiscale modeling of glass transition in polymeric films: application to stereoregular poly(methyl methacrylate)s. Polymer 146:91–100
Wu C (2018) Multiscale modeling scheme for simulating polymeric melts: application to poly(ethylene oxide). Macromol Theory Simul 27:1700066
Cao Z, Voth GA (2015) The multiscale coarse-graining method Xi Accurate interactions based on the centers of charge of coarse-grained sites. J Chem Phys 143:243116
Wu C, Li K, Ning X, Zhang L (2021) An enhanced scheme for multiscale modeling of thermomechanical properties of polymer bulks. J Phys Chem B 125:8612–8626
Lyulin SV, Gurtovenko AA, Larin SV, Nazarychev VM, Lyulin AV (2013) Microsecond atomic-scale molecular dynamics simulations of polyimides. Macromolecules 46:6357–6363
Falkovich SG, Lyulin SV, Nazarychev VM, Larin SV, Gurtovenko AA, Lukasheva NV, Lyulin AV (2014) Influence of the electrostatic interactions on the thermophysical properties of polyimides: molecular-dynamics simulations. J. Polym. Sci. Part B: Polym Phys 52:640–646
Lyulin SV, Larin SV, Gurtovenko AA, Nazarychev VM, Falkovich SG, Yudin VE, Svetlichnyi VM, Gofman IV, Lyulin AV (2014) Thermal properties of bulk polyimides: insights from computer modeling versus experiment. Soft Matter 10:1224–1232
Nazarychev VM, Lyulin AV, Larin SV, Gofman IV, Kenny J, Lyulin SV (2016) Correlation between the high-temperature local mobility of heterocyclic polyimides and their mechanical properties. Macromolecules 49:6700–6710
Nazarychev VM, Dobrovskiy AY, Larin SV, Lyulin AV, Lyulin SV (2018) Simulating local mobility and mechanical properties of thermostable polyimides with different dianhydride fragments. J. Polym. Sci. Part B: Polym Phys 56:375–382
Soldera A, Grohens Y (2002) Local dynamics of stereoregular pmmas using molecular simulation. Macromolecules 35:722–726
Behbahani AF, Allaei SMV, Motlagh GH, Eslami H, Harmandaris VA (2018) Structure and dynamics of stereo-regular poly(methyl-methacrylate) melts through atomistic molecular dynamics simulations. Soft Matter 14:1449–1464
Gordievskaya YD, Budkov YA, Kramarenko EY (2018) An interplay of electrostatic and excluded volume interactions in the conformational behavior of a dipolar chain: theory and computer simulations. Soft Matter 14:3232–3235
Karasawa N, Dasgupta S, Goddard WA III (1991) Mechanical properties and force field parameters for polyethylene crystal. J Phys Chem 95:2260–2272
Strelnikov IA, Zubova EA, Mazo MA, Manevich LI (2017) Coarse-grained polyethylene: Including cross terms in bonded interactions and introducing anisotropy into the model for the orthorhombic crystal. Polym Sci Ser A 59:242–252
Filipe HAL, Esteves MIM, CsA H, Antunes FE (2020) Effect of protein flexibility from coarse-grained elastic network parameterizations on the calculation of free energy profiles of ligand binding. J Chem Theory Comput 16:4734–4743
Koehl P, Orland H, Delarue M (2021) Parameterizing elastic network models to capture the dynamics of proteins. J Comput Chem 42:1643–1661
Kumar S, Pattanayek SK (2019) Effect of multiaxial tensile deformation on the mechanical properties of semiflexible polymeric samples. J Phys Chem B 123:9238–9249
van der Spoel D, Lindahl E, Hess B, Groenhof G, Mark AE, Berendsen HJC (2005) Gromacs: Fast, flexible, and free. J Comput Chem 26:1701–1718
Hess B, Kutzner C, van der Spoel D, Lindahl E (2008) Gromacs 4: Algorithms for highly efficient, load-balanced, and scalable molecular simulation. J. Chem. Theory Comput. 4:435–447
Martinez JM, Martinez L (2003) Packing optimization for automated generation of complex system’s initial configurations for molecular dynamics and docking. J Comput Chem 24:819–825
Martinez L, Andrade R, Birgin EG, Martinez JM (2009) Packmol: a package for building initial configurations for molecular dynamics simulations. J Comput Chem 30:2157–2164
Ruhle V, Junghans C, Lukyanov A, Kremer K, Andrienko D (2009) Versatile object-oriented toolkit for coarse-graining applications. J Chem Theory Comput 5:3211–3223
Patrone PN, Dienstfrey A, Browning AR, Tucker S, Christensen S (2016) Uncertainty quantification in molecular dynamics studies of the glass transition temperature. Polymer 87:246–259
Dalnoki-Veress K, Forrest JA, Murray C, Gigault C, Dutcher JR (2001) Molecular weight dependence of reductions in the glass transition temperature of thin, freely standing polymer films. Phys Rev E 63:031801
Shenogina NB, Tsige M, Patnaik SS, Mukhopadhyay SM (2012) Molecular modeling approach to prediction of thermo-mechanical behavior of thermoset polymer networks. Macromolecules 45:5307–5315
Mark JE (1999) Polymer data handbook. Oxford University Press, Oxford
Ellis B, Smith R (2009) Polymers a property database. CRC Press, London
Ali U, Karim KJBA, Buang NA (2015) A review of the properties and applications of poly (methyl methacrylate) (pmma). Polym Rev 55:678–705
Fan CF, Gagin T, Shi W (1997) Local chain dynamics of a model polycarbonate near glass transition temperature: a molecular dynamics simulation. Macromol Theory Simul 6:82–102
Soldera A (1998) Comparison between the glass transition temperatures of the two pmma tacticities: a molecular dynamics simulation point of view. Macromol Symp 133:21–32
Wu C (2020) Tacticity effects on the bulk modulus of poly(methyl methacrylate) explored by coarse-grained simulations. J Phys Chem B 124:10811–10821
Lyulin AV, Balabaev NK, Michels MAJ (2003) Molecular-weight and cooling-rate dependence of simulated tg for amorphous polystyrene. Macromolecules 36:8574–8575
Bicerano J (2002) Prediction of polymer properties. Marcel Dekker Inc, New York
Quach A, Wilson PS, Simha R (1974) The effects of stereoregularity on the pressure-volume-ternperature and related properties of poly(methy1 methacrylate). J Macromol Sci-Phys B9:533–550
Metatla N, Soldera A (2006) Computation of densities, bulk moduli and glass transition temperatures of vinylic polymers from atomistic simulation. Mol Simul 32:1187–1193
Yeh I-C, Rinderspacher BC, Andzelm JW, Cureton LT, Scala JL (2014) Computational study of thermal and mechanical properties of nylons and bio-based furan polyamides. Polymer 55:166–174
Theodorou DN, Suter UW (1986) Atomistic modeling of mechanical properties of polymeric glasses. Macromolecules 19:139–154
Lempesis N, in ‘t Veld PJ, Rutledge GC (2016) Atomistic simulation of the structure and mechanics of a semicrystalline polyether. Macromolecules 49:5714–5726
Darden T, York D, Pedersen L (1993) Particle mesh ewald: An n•log(n) method for ewald sums in large systems. J Chem Phys 98:10089–10092
Essmann U, Perera L, Berkowitz ML, Darden T, Lee H, Pedersen LG (1995) A smooth particle mesh ewald potential. J Chem Phys 103:8577–8592
Raiter PD, Vidavsky Y, Silberstein MN (2021) Can polyelectrolyte mechanical properties be directly modulated by an electric field? A molecular dynamics study. Adv Funct Mater 31:2006969
Marrink SJ, Risselada HJ, Yefimov S, Tieleman DP, de Vries AH (2007) The martini force field: Coarse grained model for biomolecular simulations. J Phys Chem B 111:7812–7824
Li C, Shen J, Pete C, der Vegt NFA (2012) A chemically accurate implicit-solvent coarse-grained model for polystyrenesulfonate solutions. Macromolecules 45:2551–2561
Rawdon EJ, Kern JC, Piatek M, Plunkett P, Stasiak A, Millett KC (2008) Effect of knotting on the shape of polymers. Macromolecules 41:8281–8287
Acknowledgments
The author is indebted to the Molecular Simulation Center of Hunan Province (situated at Hunan University), which provides the commercial software (Materials Studio-4.0) to build the initial structural models and to perform the empirical calculations. The MD simulations were carried out at Shanxi Supercomputing Center (SXSC) in China.
Funding
This work is financially supported by the Natural Science Foundation of Hunan Province (2022JJ30311), and Double First-Class Discipline Construction Program of Hunan Province, and the Innovative Research Team in Higher Educational Institute of Hunan Province, and the Talent Support Plan of Hunan University of Humanities Science & Technology (HUHST).
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Wu, C. Multiscale modeling of thermomechanical properties of stereoregular polymers. J Mol Model 28, 214 (2022). https://doi.org/10.1007/s00894-022-05214-8
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DOI: https://doi.org/10.1007/s00894-022-05214-8