Chain breaking in the statistical mechanical constitutive theory of polymer networks
Tài liệu tham khảo
Bacca, 2017, A model for the Mullins effect in multinetwork elastomers, J. Appl. Mech., 84, 10.1115/1.4037881
Bell, 1978, Models for the specific adhesion of cells to cells, Science, 200, 618, 10.1126/science.347575
Bender, 2013
Brighenti, 2017, Rate-dependent failure mechanism of elastomers, Int. J. Mech. Sci., 130, 448, 10.1016/j.ijmecsci.2017.05.033
Buche, 2021
Buche, 2020, Statistical mechanical constitutive theory of polymer networks: The inextricable links between distribution, behavior, and ensemble, Phys. Rev. E, 102
Chagnon, 2006, Development of new constitutive equations for the Mullins effect in rubber using the network alteration theory, Int. J. Solids Struct., 43, 6817, 10.1016/j.ijsolstr.2006.02.011
Clough, 2016, Covalent bond scission in the Mullins effect of a filled elastomer: real-time visualization with mechanoluminescence, Adv. Funct. Mater., 26, 9063, 10.1002/adfm.201602490
Cochran, 1972
Coleman, 1967, Thermodynamics with internal state variables, J. Chem. Phys., 47, 597, 10.1063/1.1711937
Coleman, 1963, The thermodynamics of elastic materials with heat conduction and viscosity, Arch. Ration. Mech. Anal., 13, 167, 10.1007/BF01262690
Ducrot, 2014, Toughening elastomers with sacrificial bonds and watching them break, Science, 344, 186, 10.1126/science.1248494
Ducrot, 2016, Characterizing large strain elasticity of brittle elastomeric networks by embedding them in a soft extensible matrix, Adv. Funct. Mater., 26, 2482, 10.1002/adfm.201504536
Dudko, 2006, Intrinsic rates and activation free energies from single-molecule pulling experiments, Phys. Rev. Lett., 96, 10.1103/PhysRevLett.96.108101
Fiasconaro, 2019, Analytical results of the extensible freely jointed chain model, Physica A, 532, 10.1016/j.physa.2019.121929
Flory, 1960, Elasticity of polymer networks cross-linked in states of strain, Trans. Faraday Soc., 56, 722, 10.1039/tf9605600722
Fricker, 1973, On the theory of stress relaxation by cross-link reorganization, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 335, 289
Giaquinta, 2004
Gong, 2003, Double-network hydrogels with extremely high mechanical strength, Adv. Mater., 15, 1155, 10.1002/adma.200304907
Grebikova, 2014, Single-molecule force measurements by nano-handling of individual dendronized polymers, ACS Nano, 8, 2237, 10.1021/nn405485h
Grebikova, 2016, Recording stretching response of single polymer chains adsorbed on solid substrates, Polymer, 102, 350, 10.1016/j.polymer.2016.02.045
Green, 1946, A new approach to the theory of relaxing polymeric media, J. Chem. Phys., 14, 80, 10.1063/1.1724109
Guo, 2020, Mechanics of polymer networks with dynamic bonds
Guo, 2016, Mechanics of a dual cross-link gel with dynamic bonds: Steady state kinetics and large deformation effects, Macromolecules, 49, 3497, 10.1021/acs.macromol.6b00421
Guo, 2021, A micromechanics-based model for deformation-induced damage and failure in elastomeric media, Int. J. Plast., 140, 10.1016/j.ijplas.2021.102976
Hui, 2012, A constitutive model for the large deformation of a self-healing gel, Soft Matter, 8, 8209, 10.1039/c2sm25367d
Kanwal, 2013
Kauzmann, 1940, The viscous flow of large molecules, J. Am. Chem. Soc., 62, 3113, 10.1021/ja01868a059
Khare, 2021, Transition-metal coordinate bonds for bioinspired macromolecules with tunable mechanical properties, Nat. Rev. Mater., 6, 421, 10.1038/s41578-020-00270-z
Kloxin, 2013, Covalent adaptable networks: smart, reconfigurable and responsive network systems, Chem. Soc. Rev., 42, 7161, 10.1039/C3CS60046G
Kramers, 1940, Brownian motion in a field of force and the diffusion model of chemical reactions, Physica, 7, 284, 10.1016/S0031-8914(40)90098-2
Lake, 1967, The strength of highly elastic materials, Proc. R. Soc. A, 300, 108
Lavoie, 2016, A rate-dependent damage model for elastomers at large strain, Extreme Mech. Lett., 8, 114, 10.1016/j.eml.2016.05.016
Lavoie, 2019, Modeling the mechanics of polymer chains with deformable and active bonds, J. Phys. Chem. B, 124, 253, 10.1021/acs.jpcb.9b09068
Lavoie, 2019, A continuum model for progressive damage in tough multinetwork elastomers, J. Mech. Phys. Solids, 125, 523, 10.1016/j.jmps.2019.01.001
Li, 2020, A variational phase-field model for brittle fracture in polydisperse elastomer networks, Int. J. Solids Struct., 182, 193, 10.1016/j.ijsolstr.2019.08.012
Li, 2016, A highly stretchable autonomous self-healing elastomer, Nature Chem., 8, 618, 10.1038/nchem.2492
Lin, 2020, Constitutive behaviors of tough physical hydrogels with dynamic metal-coordinated bonds, J. Mech. Phys. Solids, 139, 10.1016/j.jmps.2020.103935
Long, 2014, The mechanics of network polymers with thermally reversible linkages, J. Mech. Phys. Solids, 63, 386, 10.1016/j.jmps.2013.08.017
Long, 2014, Time dependent behavior of a dual cross-link self-healing gel: Theory and experiments, Macromolecules, 47, 7243, 10.1021/ma501290h
Long, 2013, Modeling the mechanics of covalently adaptable polymer networks with temperature-dependent bond exchange reactions, Soft Matter, 9, 4083, 10.1039/c3sm27945f
Lovitt, 1924
Lu, 2020, A pseudo-elasticity theory to model the strain-softening behavior of tough hydrogels, J. Mech. Phys. Solids, 137, 10.1016/j.jmps.2019.103832
Manca, 2014, On the equivalence of thermodynamics ensembles for flexible polymer chains, Physica A, 395, 154, 10.1016/j.physa.2013.10.042
Manca, 2012, Elasticity of flexible and semiflexible polymers with extensible bonds in the Gibbs and Helmholtz ensembles, J. Chem. Phys., 136, 10.1063/1.4704607
Mao, 2018, Fracture of elastomeric materials by crosslink failure, J. Appl. Mech., 85, 10.1115/1.4040100
Mao, 2017, Rupture of polymers by chain scission, Extreme Mech. Lett., 13, 17, 10.1016/j.eml.2017.01.003
Marckmann, 2002, A theory of network alteration for the Mullins effect, J. Mech. Phys. Solids, 50, 2011, 10.1016/S0022-5096(01)00136-3
Mayumi, 2013, Stress–strain relationship of highly stretchable dual cross-link gels: separability of strain and time effect, ACS Macro Lett., 2, 1065, 10.1021/mz4005106
McQuarrie, 2000
Meng, 2016, Stress relaxation, dynamics, and plasticity of transient polymer networks, Macromolecules, 49, 2843, 10.1021/acs.macromol.5b02667
Meng, 2019, Elasticity and relaxation in full and partial vitrimer networks, Macromolecules, 52, 7423, 10.1021/acs.macromol.9b01123
Montarnal, 2011, Silica-like malleable materials from permanent organic networks, Science, 334, 965, 10.1126/science.1212648
Morovati, 2019, Micro-mechanical modeling of the stress softening in double-network hydrogels, Int. J. Solids Struct., 164, 1, 10.1016/j.ijsolstr.2019.01.002
Morovati, 2020, Necking of double-network gels: Constitutive modeling with microstructural insight, Phys. Rev. E, 102
Morse, 1929, Diatomic molecules according to the wave mechanics. II. Vibrational levels, Phys. Rev., 34, 57, 10.1103/PhysRev.34.57
Mulderrig, 2021, Affine and non-affine microsphere models for chain scission in polydisperse elastomer networks, Mech. Mater., 160, 10.1016/j.mechmat.2021.103857
Müller, 2013
Mullins, 1948, Effect of stretching on the properties of rubber, Rubber Chem. Technol., 21, 281, 10.5254/1.3546914
Nakajima, 2019, Tough double-network gels and elastomers from the nonprestretched first network, ACS Macro Lett., 8, 1407, 10.1021/acsmacrolett.9b00679
Narita, 2013, Viscoelastic properties of poly (vinyl alcohol) hydrogels having permanent and transient cross-links studied by microrheology, classical rheometry, and dynamic light scattering, Macromolecules, 46, 4174, 10.1021/ma400600f
Neumann, 1985, Nonequivalence of the stress and strain ensembles in describing polymer-chain elasticity, Phys. Rev. A, 31, 3516, 10.1103/PhysRevA.31.3516
Paolucci, 2016
Powers, 2016
Powers, 2015
Prigogine, 1967
Rahman, 2007
Rubinstein, 2003
Schwaderer, 2008, Single-molecule measurement of the strength of a siloxane bond, Langmuir, 24, 1343, 10.1021/la702352x
Shen, 2020, Rate-dependent fracture in transient networks, J. Mech. Phys. Solids, 143, 10.1016/j.jmps.2020.104028
Silberstein, 2014, Modeling mechanophore activation within a viscous rubbery network, J. Mech. Phys. Solids, 63, 141, 10.1016/j.jmps.2013.09.014
Silberstein, 2013, Modeling mechanophore activation within a crosslinked glassy matrix, J. Appl. Phys., 114, 10.1063/1.4812581
Sun, 2016, Thermomechanics of a temperature sensitive covalent adaptable polymer with bond exchange reactions, Soft Matter, 12, 8847, 10.1039/C6SM01857B
Sun, 2012, Highly stretchable and tough hydrogels, Nature, 489, 133, 10.1038/nature11409
Talamini, 2018, Progressive damage and rupture in polymers, J. Mech. Phys. Solids, 111, 434, 10.1016/j.jmps.2017.11.013
Tanaka, 1992, Viscoelastic properties of physically crosslinked networks, J. Non-Newton. Fluid Mech., 43, 247, 10.1016/0377-0257(92)80027-U
Tanaka, 1992, Viscoelastic properties of physically crosslinked networks. I. Transient network theory, Macromolecules, 25, 1516, 10.1021/ma00031a024
Tehrani, 2017, Effect of chain length distribution on mechanical behavior of polymeric networks, Eur. Polym. J., 87, 136, 10.1016/j.eurpolymj.2016.12.017
Thomas, 1966, Limitations of the Tobolsky ‘two network’ theory in the interpretation of stress-relaxation data in rubbers, Polymer, 7, 125, 10.1016/0032-3861(66)90072-3
Towns, 2014, Xsede: accelerating scientific discovery, Comput. Sci. Eng., 16, 62, 10.1109/MCSE.2014.80
Treloar, 1949
Truesdell, 2004
Vernerey, 2018, Transient response of nonlinear polymer networks: A kinetic theory, J. Mech. Phys. Solids, 115, 230, 10.1016/j.jmps.2018.02.018
Vernerey, 2018, Statistical damage mechanics of polymer networks, Macromolecules, 51, 6609, 10.1021/acs.macromol.8b01052
Vernerey, 2017, A statistically based continuum theory for polymers with transient networks, J. Mech. Phys. Solids, 107, 1, 10.1016/j.jmps.2017.05.016
Vidavsky, 2020, Tuning the mechanical properties of metallopolymers via ligand interactions: A combined experimental and theoretical study, Macromolecules, 53, 2021, 10.1021/acs.macromol.9b02756
Wang, 2021
Webber, 2007, Large strain hysteresis and mullins effect of tough double-network hydrogels, Macromolecules, 40, 2919, 10.1021/ma062924y
Yang, 2020, A multiscale cohesive zone model for rate-dependent fracture of interfaces, J. Mech. Phys. Solids, 145, 10.1016/j.jmps.2020.104142
Yin, 2020, Topological origin of strain induced damage of multi-network elastomers by bond breaking, Extreme Mech. Lett., 40, 10.1016/j.eml.2020.100883
Yu, 2018, Mechanics of self-healing polymer networks crosslinked by dynamic bonds, J. Mech. Phys. Solids, 121, 409, 10.1016/j.jmps.2018.08.007
Zhao, 2012, A theory for large deformation and damage of interpenetrating polymer networks, J. Mech. Phys. Solids, 60, 319, 10.1016/j.jmps.2011.10.005
Zheng, 2016, Metal-coordination complexes mediated physical hydrogels with high toughness, stick–slip tearing behavior, and good processability, Macromolecules, 49, 9637, 10.1021/acs.macromol.6b02150
Zhong, 2020, A constitutive model for multi network elastomers pre-stretched by swelling, Extreme Mech. Lett., 40, 10.1016/j.eml.2020.100926
Zhurkov, 1984, Kinetic concept of the strength of solids, Int. J. Fract., 26, 295, 10.1007/BF00962961
Zwanzig, 1961, Memory effects in irreversible thermodynamics, Phys. Rev., 124, 983, 10.1103/PhysRev.124.983
Zwanzig, 2001