Acknowledgements¶
Please refer to the CITATION.cff file, as well as to the references below for information on what and how to cite.
The authors gratefully acknowledge financial support from the Swiss National Science Foundation (SNSF project 200021_204196).
References¶
Takuma Aoyama, Naoto Yamada, and Kenji Urayama. Nonlinear Elasticity of Ultrasoft Near-Critical Gels with Extremely Sparse Network Structures Revealed by Biaxial Stretching. Macromolecules, 54(5):2353–2365, March 2021. doi:10.1021/acs.macromol.0c02737.
Tim Bernhard and Andrei A. Gusev. Phantom force balance procedure for predicting the modulus of entangled polymer networks. ACS Polymers Au, 2025. doi:10.1021/acspolymersau.5c00036.
Andrei A. Gusev. Numerical Estimates of the Topological Effects in the Elasticity of Gaussian Polymer Networks and Their Exact Theoretical Description. Macromolecules, 52(9):3244–3251, May 2019. doi:10.1021/acs.macromol.9b00262.
Andrei A. Gusev and Tim Bernhard. Molecular Model for Linear Viscoelastic Properties of Entangled Polymer Networks. Macromolecules, 57(21):10152–10163, November 2024. doi:10.1021/acs.macromol.4c01429.
Andrei A. Gusev and Fabian Schwarz. Molecular Dynamics Study on the Validity of Miller–Macosko Theory for Entanglement and Crosslink Contributions to the Elastic Modulus of End-Linked Polymer Networks. Macromolecules, 55(18):8372–8383, September 2022. doi:10.1021/acs.macromol.2c00814.
Michael Langeloth, Yuichi Masubuchi, Michael C. Böhm, and Florian Müller-Plathe. Recovering the reptation dynamics of polymer melts in dissipative particle dynamics simulations via slip-springs. The Journal of Chemical Physics, 138(10):104907, March 2013. doi:10.1063/1.4794156.
Neal R. Langley. Elastically Effective Strand Density in Polymer Networks. Macromolecules, 1(4):348–352, July 1968. doi:10.1021/ma60004a015.
Christopher W. Macosko and Douglas R. Miller. A New Derivation of Average Molecular Weights of Nonlinear Polymers. Macromolecules, 9(2):199–206, March 1976. doi:10.1021/ma60050a003.
Douglas R. Miller and Christopher W. Macosko. A New Derivation of Post Gel Properties of Network Polymers. Macromolecules, 9(2):206–211, March 1976. doi:10.1021/ma60050a004.
Douglas R. Miller and Christopher W. Macosko. Average Property Relations for Nonlinear Polymerization with Unequal Reactivity. Macromolecules, 11(4):656–662, July 1978. doi:10.1021/ma60064a008.
Douglas R. Miller, Enrique M. Valles, and Christopher W. Macosko. Calculation of molecular parameters for stepwise polyfunctional polymerization. Polymer Engineering & Science, 19(4):272–283, 1979. doi:10.1002/pen.760190409.
Suman K. Patel, Shawn Malone, Claude Cohen, Jeffrey R. Gillmor, and Ralph H. Colby. Elastic modulus and equilibrium swelling of poly(dimethylsiloxane) networks. Macromolecules, 25(20):5241–5251, September 1992. doi:10.1021/ma00046a021.
Jorge Ramírez, Sathish K. Sukumaran, Bart Vorselaars, and Alexei E. Likhtman. Efficient on the fly calculation of time correlation functions in computer simulations. The Journal of Chemical Physics, 133(15):154103, October 2010. doi:10.1063/1.3491098.
Jurek Schneider, Frank Fleck, Hossein Ali Karimi-Varzaneh, and Florian Müller-Plathe. Simulation of Elastomers by Slip-Spring Dissipative Particle Dynamics. Macromolecules, 54(11):5155–5166, June 2021. doi:10.1021/acs.macromol.1c00567.
Ludwig Schneider and Juan J. De Pablo. Entanglements via Slip Springs with Soft, Coarse-Grained Models for Systems Having Explicit Liquid–Vapor Interfaces. Macromolecules, 56(18):7445–7453, September 2023. doi:10.1021/acs.macromol.3c00960.
Ioanna Ch. Tsimouri, Walter R. Caseri, and Andrei A. Gusev. Monte Carlo Evidence on Simple Conventional Means to Characterize the Final Extent of Reaction of Cured End-Linked Polymer Networks through the Miller–Macosko Nonlinear Polymerization Theory. Macromolecules, 54(4):1589–1598, February 2021. doi:10.1021/acs.macromol.0c02251.
Ioanna Ch. Tsimouri, Fabian Schwarz, Tim Bernhard, and Andrei A. Gusev. A Comparison between Predictions of the Miller–Macosko Theory, Estimates from Molecular Dynamics Simulations, and Long-Standing Experimental Data of the Shear Modulus of End-Linked Polymer Networks. Macromolecules, 57(9):4273–4284, May 2024. doi:10.1021/acs.macromol.3c02544.
Kenji Urayama, Takashi Miki, Toshikazu Takigawa, and Shinzo Kohjiya. Damping Elastomer Based on Model Irregular Networks of End-Linked Poly(Dimethylsiloxane). Chemistry of Materials, 16(1):173–178, January 2004. doi:10.1021/cm0343507.
Enrique M. Valles and Christopher W. Macosko. Properties of Networks Formed by End Linking of Poly(dimethylsiloxane). Macromolecules, 12(4):673–679, July 1979. doi:10.1021/ma60070a025.
Sundar K. Venkataraman, Larry Coyne, Francois Chambon, Moshe Gottlieb, and H.Henning Winter. Critical extent of reaction of a polydimethylsiloxane polymer network. Polymer, 30(12):2222–2226, December 1989. doi:10.1016/0032-3861(89)90253-X.