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Erschienen in: Tribology Letters 2/2016

01.08.2016 | Original Paper

Effect of Crosslinking on the Microtribological Behavior of Model Polymer Brushes

verfasst von: Manjesh K. Singh, Patrick Ilg, Rosa M. Espinosa-Marzal, Martin Kröger, Nicholas D. Spencer

Erschienen in: Tribology Letters | Ausgabe 2/2016

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Abstract

Polymer brushes in good solvents are known to exhibit excellent tribological properties. We have modeled polymer brushes and gels using a multibead-spring model and studied their tribological behavior via nonequilibrium molecular dynamics. Simulations of brush-against-wall systems were performed using an implicit solvent-based approach. Polymer chains were modeled as linear chains, randomly grafted on a planar surface. Quantities extracted from the simulations are the normal stress, shear stress and concentration profiles. We find that while an increase in the degree of crosslinking leads to an increase in the coefficient of friction, an increase in the length of crosslinker chains does the opposite. The effect of crosslinking can be understood in two ways: (1) There is a lower polymer concentration in the outer layer to take part in brush-assisted lubrication as the degree of crosslinking increases and (2) crosslinked polymer chains are more resistant to shear than noncrosslinked ones.

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Literatur
1.
Zurück zum Zitat Napper, D.H.: Polymeric Stabilization of Colloidal Dispersions. Academic Press, London, New York (1983) Napper, D.H.: Polymeric Stabilization of Colloidal Dispersions. Academic Press, London, New York (1983)
2.
Zurück zum Zitat Hucknall, A., Simnick, A.J., Hill, R.T., Chilkoti, A., Garcia, A., Johannes, M.S., Clark, R.L., Zauscher, S., Ratner, B.D.: Versatile synthesis and micropatterning of nonfouling polymer brushes on the wafer scale. Biointerphases 4, FA50–FA57 (2009)CrossRef Hucknall, A., Simnick, A.J., Hill, R.T., Chilkoti, A., Garcia, A., Johannes, M.S., Clark, R.L., Zauscher, S., Ratner, B.D.: Versatile synthesis and micropatterning of nonfouling polymer brushes on the wafer scale. Biointerphases 4, FA50–FA57 (2009)CrossRef
3.
Zurück zum Zitat Auroy, P., Auvray, L., Leger, L.: Characterization of the brush regime for grafted polymer layers at the solid–liquid interface. Phys. Rev. Lett. 66, 719–722 (1991)CrossRef Auroy, P., Auvray, L., Leger, L.: Characterization of the brush regime for grafted polymer layers at the solid–liquid interface. Phys. Rev. Lett. 66, 719–722 (1991)CrossRef
4.
Zurück zum Zitat Lee, S., Spencer, N.D.: Achieving ultralow friction by aqueous, brush-assisted lubrication. In: Erdemir, A., Martin, J.M. (eds.) Superlubricity, pp. 365-396. Elsevier, Amsterdam (2007) Lee, S., Spencer, N.D.: Achieving ultralow friction by aqueous, brush-assisted lubrication. In: Erdemir, A., Martin, J.M. (eds.) Superlubricity, pp. 365-396. Elsevier, Amsterdam (2007)
5.
Zurück zum Zitat Li, A.: Structure-Property Relationships of Surface-Grafted Polymeric Architectures: From Ultra-Thin Films To Quasi-3D Polymer Assemblies. PhD Thesis. ETH Zurich (2013) Li, A.: Structure-Property Relationships of Surface-Grafted Polymeric Architectures: From Ultra-Thin Films To Quasi-3D Polymer Assemblies. PhD Thesis. ETH Zurich (2013)
6.
Zurück zum Zitat Dunn, A.C., Sawyer, W.G., Angelini, T.E.: Gemini interfaces in aqueous lubrication with hydrogels. Tribol. Lett. 54, 59–66 (2014)CrossRef Dunn, A.C., Sawyer, W.G., Angelini, T.E.: Gemini interfaces in aqueous lubrication with hydrogels. Tribol. Lett. 54, 59–66 (2014)CrossRef
7.
Zurück zum Zitat Freeman, M.E., Furey, M.J., Love, B.J., Hampton, J.M.: Friction, wear, and lubrication of hydrogels as synthetic articular cartilage. Wear 241, 129–135 (2000)CrossRef Freeman, M.E., Furey, M.J., Love, B.J., Hampton, J.M.: Friction, wear, and lubrication of hydrogels as synthetic articular cartilage. Wear 241, 129–135 (2000)CrossRef
8.
Zurück zum Zitat Irfachsyad, D., Tildesley, D., Malfreyt, P.: Dissipative particle dynamics simulation of grafted polymer brushes under shear. Phys. Chem. Chem. Phys. 4, 3008–3015 (2002)CrossRef Irfachsyad, D., Tildesley, D., Malfreyt, P.: Dissipative particle dynamics simulation of grafted polymer brushes under shear. Phys. Chem. Chem. Phys. 4, 3008–3015 (2002)CrossRef
9.
Zurück zum Zitat Chen, M., Briscoe, W.H., Armes, S.P., Klein, J.: Lubrication at physiological pressures by polyzwitterionic brushes. Science 323, 1698–1701 (2009)CrossRef Chen, M., Briscoe, W.H., Armes, S.P., Klein, J.: Lubrication at physiological pressures by polyzwitterionic brushes. Science 323, 1698–1701 (2009)CrossRef
10.
Zurück zum Zitat Klein, J., Perahia, D., Warburg, S.: Forces between polymer-bearing surfaces undergoing shear. Nature 352, 143–145 (1991) Klein, J., Perahia, D., Warburg, S.: Forces between polymer-bearing surfaces undergoing shear. Nature 352, 143–145 (1991)
11.
Zurück zum Zitat Li, A., Benetti, E.M., Tranchida, D., Clasohm, J.N., Schönherr, H., Spencer, N.D.: Surface-grafted, covalently cross-linked hydrogel brushes with tunable interfacial and bulk properties. Macromolecules 44, 5344–5351 (2011)CrossRef Li, A., Benetti, E.M., Tranchida, D., Clasohm, J.N., Schönherr, H., Spencer, N.D.: Surface-grafted, covalently cross-linked hydrogel brushes with tunable interfacial and bulk properties. Macromolecules 44, 5344–5351 (2011)CrossRef
12.
Zurück zum Zitat Gong, J.P.: Friction and lubrication of hydrogels? Its richness and complexity. Soft Matter 2, 544 (2006)CrossRef Gong, J.P.: Friction and lubrication of hydrogels? Its richness and complexity. Soft Matter 2, 544 (2006)CrossRef
13.
Zurück zum Zitat Stachowiak, G.W., Batchelor, A.W.: Engineering Tribology. Elsevier, Amsterdam, London, New York, Tokyo (1993) Stachowiak, G.W., Batchelor, A.W.: Engineering Tribology. Elsevier, Amsterdam, London, New York, Tokyo (1993)
14.
Zurück zum Zitat Raviv, U., Klein, J.: Adhesion, Friction, and Lubrication between Polymer-Bearing Surfaces. In: Matyjaszewski, K., Moeller, M. (eds.) Polymer Science: A Comprehensive Reference, pp. 607–628. Elsevier, Amsterdam (2012) Raviv, U., Klein, J.: Adhesion, Friction, and Lubrication between Polymer-Bearing Surfaces. In: Matyjaszewski, K., Moeller, M. (eds.) Polymer Science: A Comprehensive Reference, pp. 607–628. Elsevier, Amsterdam (2012)
15.
Zurück zum Zitat Klein, J., Kumacheva, E., Perahia, D., Mahalu, D., Warburg, S.: Interfacial sliding of polymer-bearing surfaces. Faraday Discuss. 98, 173 (1994)CrossRef Klein, J., Kumacheva, E., Perahia, D., Mahalu, D., Warburg, S.: Interfacial sliding of polymer-bearing surfaces. Faraday Discuss. 98, 173 (1994)CrossRef
16.
Zurück zum Zitat Klein, J., Kumacheva, E., Mahaiu, D., Perahia, D., Fetters, L.J.: Reduction of frictional forces between solid surfaces bearing polymer brushes. Nature 370, 634–636 (1994)CrossRef Klein, J., Kumacheva, E., Mahaiu, D., Perahia, D., Fetters, L.J.: Reduction of frictional forces between solid surfaces bearing polymer brushes. Nature 370, 634–636 (1994)CrossRef
17.
Zurück zum Zitat Nalam, P.C., Ramakrishna, S.N., Espinosa-Marzal, R.M., Spencer, N.D.: Exploring lubrication regimes at the nanoscale: nanotribological characterization of silica and polymer brushes in viscous solvents. Langmuir 29, 10149–10158 (2013)CrossRef Nalam, P.C., Ramakrishna, S.N., Espinosa-Marzal, R.M., Spencer, N.D.: Exploring lubrication regimes at the nanoscale: nanotribological characterization of silica and polymer brushes in viscous solvents. Langmuir 29, 10149–10158 (2013)CrossRef
18.
Zurück zum Zitat Lee, S., Spencer, N.D.: Sweet, hairy, soft, and slippery. Science 319, 575–576 (2008)CrossRef Lee, S., Spencer, N.D.: Sweet, hairy, soft, and slippery. Science 319, 575–576 (2008)CrossRef
19.
Zurück zum Zitat Kreer, T.: Polymer-brush lubrication: a review of recent theoretical advances. Soft Matter 12(15), 3479–3501 (2016)CrossRef Kreer, T.: Polymer-brush lubrication: a review of recent theoretical advances. Soft Matter 12(15), 3479–3501 (2016)CrossRef
20.
Zurück zum Zitat Grest, G.S.: Computer simulations of shear and friction between polymer brushes. Curr. Opin. Colloid Interface Sci. 2, 271–277 (1997)CrossRef Grest, G.S.: Computer simulations of shear and friction between polymer brushes. Curr. Opin. Colloid Interface Sci. 2, 271–277 (1997)CrossRef
21.
Zurück zum Zitat Hoy, R.S., Grest, G.S.: Entanglements of an end-grafted polymer brush in a polymeric matrix. Macromolecules 40, 8389–8395 (2007)CrossRef Hoy, R.S., Grest, G.S.: Entanglements of an end-grafted polymer brush in a polymeric matrix. Macromolecules 40, 8389–8395 (2007)CrossRef
22.
Zurück zum Zitat Grest, G.S.: Grafted polymer brushes: a constant surface pressure molecular dynamics simulation. Macromolecules 27, 418–426 (1994)CrossRef Grest, G.S.: Grafted polymer brushes: a constant surface pressure molecular dynamics simulation. Macromolecules 27, 418–426 (1994)CrossRef
23.
Zurück zum Zitat Kremer, K., Grest, G.S.: Dynamics of entangled linear polymer melts: a molecular-dynamics simulation. J. Chem. Phys. 92, 5057–5086 (1990)CrossRef Kremer, K., Grest, G.S.: Dynamics of entangled linear polymer melts: a molecular-dynamics simulation. J. Chem. Phys. 92, 5057–5086 (1990)CrossRef
24.
Zurück zum Zitat Grest, G.: Interfacial sliding of polymer brushes: a molecular dynamics simulation. Phys. Rev. Lett. 76, 4979–4982 (1996)CrossRef Grest, G.: Interfacial sliding of polymer brushes: a molecular dynamics simulation. Phys. Rev. Lett. 76, 4979–4982 (1996)CrossRef
25.
Zurück zum Zitat Murat, M., Grest, G.S.: Molecular dynamics simulations of the force between a polymer brush and an AFM tip. Macromolecules 29, 8282–8284 (1996)CrossRef Murat, M., Grest, G.S.: Molecular dynamics simulations of the force between a polymer brush and an AFM tip. Macromolecules 29, 8282–8284 (1996)CrossRef
26.
Zurück zum Zitat Grest, G.S.: Normal and shear forces between polymer brushes. Adv. Polym. Sci. 138, 149–183 (1999)CrossRef Grest, G.S.: Normal and shear forces between polymer brushes. Adv. Polym. Sci. 138, 149–183 (1999)CrossRef
27.
Zurück zum Zitat Singh, M.K., Ilg, P., Espinosa-Marzal, R.M., Kröger, M., Spencer, N.D.: Polymer brushes under shear: molecular dynamics simulations compared to experiments. Langmuir 31, 4798–4805 (2015)CrossRef Singh, M.K., Ilg, P., Espinosa-Marzal, R.M., Kröger, M., Spencer, N.D.: Polymer brushes under shear: molecular dynamics simulations compared to experiments. Langmuir 31, 4798–4805 (2015)CrossRef
28.
Zurück zum Zitat Galuschko, A., Spirin, L., Kreer, T., Johner, A., Pastorino, C., Wittmer, J., Baschnagel, J.: Frictional forces between strongly compressed, nonentangled polymer brushes: molecular dynamics simulations and scaling theory. Langmuir 26, 6418–6429 (2010)CrossRef Galuschko, A., Spirin, L., Kreer, T., Johner, A., Pastorino, C., Wittmer, J., Baschnagel, J.: Frictional forces between strongly compressed, nonentangled polymer brushes: molecular dynamics simulations and scaling theory. Langmuir 26, 6418–6429 (2010)CrossRef
29.
Zurück zum Zitat Nalam, P.C.: Polymer Brushes in Aqueous Solvent Mixtures: Impact of Polymer Conformation on Tribological Properties. PhD Thesis. ETH Zurich (2012) Nalam, P.C.: Polymer Brushes in Aqueous Solvent Mixtures: Impact of Polymer Conformation on Tribological Properties. PhD Thesis. ETH Zurich (2012)
30.
Zurück zum Zitat Kim, S.H., Opdahl, A., Marmo, C., Somorjai, G.A.: AFM and SFG studies of pHEMA-based hydrogel contact lens surfaces in saline solution: adhesion, friction, and the presence of non-crosslinked polymer chains at the surface. Biomaterials 23, 1657–1666 (2002)CrossRef Kim, S.H., Opdahl, A., Marmo, C., Somorjai, G.A.: AFM and SFG studies of pHEMA-based hydrogel contact lens surfaces in saline solution: adhesion, friction, and the presence of non-crosslinked polymer chains at the surface. Biomaterials 23, 1657–1666 (2002)CrossRef
31.
Zurück zum Zitat Pan, Y.-S., Xiong, D.-S., Ma, R.-Y.: A study on the friction properties of poly(vinyl alcohol) hydrogel as articular cartilage against titanium alloy. Wear 262, 1021–1025 (2006)CrossRef Pan, Y.-S., Xiong, D.-S., Ma, R.-Y.: A study on the friction properties of poly(vinyl alcohol) hydrogel as articular cartilage against titanium alloy. Wear 262, 1021–1025 (2006)CrossRef
32.
Zurück zum Zitat Gong, J.P., Higa, M., Iwasaki, Y., Katsuyama, Y., Osada, Y.: Friction of gels. J. Phys. Chem. B 101, 5487–5489 (1997)CrossRef Gong, J.P., Higa, M., Iwasaki, Y., Katsuyama, Y., Osada, Y.: Friction of gels. J. Phys. Chem. B 101, 5487–5489 (1997)CrossRef
33.
Zurück zum Zitat Caravia, L., Dowson, D., Fisher, J., Corkhill, P.H., Tighe, B.J.: Friction of hydrogel and polyurethane elastic layers when sliding against each other under a mixed lubrication regime. Wear 181, 236–240 (1995)CrossRef Caravia, L., Dowson, D., Fisher, J., Corkhill, P.H., Tighe, B.J.: Friction of hydrogel and polyurethane elastic layers when sliding against each other under a mixed lubrication regime. Wear 181, 236–240 (1995)CrossRef
34.
Zurück zum Zitat Gong, J.P., Kurokawa, T., Narita, T., Kagata, G., Osada, Y., Nishimura, G., Kinjo, M.: Synthesis of hydrogels with extremely low surface friction. J. Am. Chem. Soc. 123, 5582–5583 (2001)CrossRef Gong, J.P., Kurokawa, T., Narita, T., Kagata, G., Osada, Y., Nishimura, G., Kinjo, M.: Synthesis of hydrogels with extremely low surface friction. J. Am. Chem. Soc. 123, 5582–5583 (2001)CrossRef
35.
Zurück zum Zitat Mamada, K., Fridrici, V., Kosukegawa, H., Kapsa, P., Ohta, M.: Friction properties of poly(vinyl alcohol) hydrogel: effects of degree of polymerization and saponification value. Tribol. Lett. 42, 241–251 (2011)CrossRef Mamada, K., Fridrici, V., Kosukegawa, H., Kapsa, P., Ohta, M.: Friction properties of poly(vinyl alcohol) hydrogel: effects of degree of polymerization and saponification value. Tribol. Lett. 42, 241–251 (2011)CrossRef
36.
Zurück zum Zitat Bavaresco, V.P., Zavaglia, C.A.C., Reis, M.C., Gomes, J.R.: Study on the tribological properties of pHEMA hydrogels for use in artificial articular cartilage. Wear 265, 269–277 (2008)CrossRef Bavaresco, V.P., Zavaglia, C.A.C., Reis, M.C., Gomes, J.R.: Study on the tribological properties of pHEMA hydrogels for use in artificial articular cartilage. Wear 265, 269–277 (2008)CrossRef
37.
Zurück zum Zitat Ohsedo, Y., Takashina, R., Gong, J.P., Osada, Y.: Surface friction of hydrogels with well-defined polyelectrolyte brushes. Langmuir 20, 6549–6555 (2004)CrossRef Ohsedo, Y., Takashina, R., Gong, J.P., Osada, Y.: Surface friction of hydrogels with well-defined polyelectrolyte brushes. Langmuir 20, 6549–6555 (2004)CrossRef
38.
Zurück zum Zitat Ishikawa, Y., Hiratsuka, K.-I., Sasada, T.: Role of water in the lubrication of hydrogel. Wear 261, 500–504 (2005)CrossRef Ishikawa, Y., Hiratsuka, K.-I., Sasada, T.: Role of water in the lubrication of hydrogel. Wear 261, 500–504 (2005)CrossRef
39.
Zurück zum Zitat Alexander, S.: Adsorption of chain molecules with a polar head a scaling description. J. Phys.-Paris 38, 983–987 (1977)CrossRef Alexander, S.: Adsorption of chain molecules with a polar head a scaling description. J. Phys.-Paris 38, 983–987 (1977)CrossRef
40.
Zurück zum Zitat De Gennes, P.G.: Conformations of polymers attached to an interface. Macromolecules 13, 1069–1075 (1980)CrossRef De Gennes, P.G.: Conformations of polymers attached to an interface. Macromolecules 13, 1069–1075 (1980)CrossRef
41.
Zurück zum Zitat Semenov, A.N.: Contribution to the theory of microphase layering in block-copolymer melts. Zh. Eksp. Teor. Fiz. 88, 1242–1256 (1985) Semenov, A.N.: Contribution to the theory of microphase layering in block-copolymer melts. Zh. Eksp. Teor. Fiz. 88, 1242–1256 (1985)
42.
Zurück zum Zitat Milner, S.T., Witten, T.A., Cates, M.E.: Theory of the grafted polymer brush. Macromolecules 21, 2610–2619 (1988)CrossRef Milner, S.T., Witten, T.A., Cates, M.E.: Theory of the grafted polymer brush. Macromolecules 21, 2610–2619 (1988)CrossRef
43.
Zurück zum Zitat Zhulina, Y.B., Pryamitsyn, V.A., Borisov, O.V.: Structure and conformational transitions in grafted polymer chain layers. A new theory. Polym. Sci. U.S.S.R. 31, 205–216 (1989)CrossRef Zhulina, Y.B., Pryamitsyn, V.A., Borisov, O.V.: Structure and conformational transitions in grafted polymer chain layers. A new theory. Polym. Sci. U.S.S.R. 31, 205–216 (1989)CrossRef
44.
Zurück zum Zitat Binder, K., Müller, M.: Monte Carlo simulation of block copolymers. Curr. Opin. Colloid Interface Sci. 5, 315–323 (2000)CrossRef Binder, K., Müller, M.: Monte Carlo simulation of block copolymers. Curr. Opin. Colloid Interface Sci. 5, 315–323 (2000)CrossRef
45.
Zurück zum Zitat Hsu, H.-P., Paul, W.: A fast Monte Carlo algorithm for studying bottle-brush polymers. Comput. Phys. Commun. 182, 2115–2121 (2011)CrossRef Hsu, H.-P., Paul, W.: A fast Monte Carlo algorithm for studying bottle-brush polymers. Comput. Phys. Commun. 182, 2115–2121 (2011)CrossRef
46.
Zurück zum Zitat Binder, K., Müller, M., Schmid, F., Werner, A.: Interfaces in partly compatible polymer mixtures: a Monte-Carlo simulation approach. Phys. A 249, 293–300 (1998)CrossRef Binder, K., Müller, M., Schmid, F., Werner, A.: Interfaces in partly compatible polymer mixtures: a Monte-Carlo simulation approach. Phys. A 249, 293–300 (1998)CrossRef
47.
Zurück zum Zitat Doyle, P.S., Shaqfeh, E., Gast, A.P.: Rheology of polymer brushes: a Brownian dynamics study. Macromolecules 31, 5474–5486 (1998)CrossRef Doyle, P.S., Shaqfeh, E., Gast, A.P.: Rheology of polymer brushes: a Brownian dynamics study. Macromolecules 31, 5474–5486 (1998)CrossRef
48.
Zurück zum Zitat Goujon, F., Ghoufi, A., Malfreyt, P., Tildesley, D.J.: The kinetic friction coefficient of neutral and charged polymer brushes. Soft Matter 9, 2966 (2013)CrossRef Goujon, F., Ghoufi, A., Malfreyt, P., Tildesley, D.J.: The kinetic friction coefficient of neutral and charged polymer brushes. Soft Matter 9, 2966 (2013)CrossRef
49.
Zurück zum Zitat Carrillo, J.-M.Y., Brown, W.M., Dobrynin, A.V.: Explicit solvent simulations of friction between brush layers of charged and neutral bottle-brush macromolecules. Macromolecules 45, 8880–8891 (2012)CrossRef Carrillo, J.-M.Y., Brown, W.M., Dobrynin, A.V.: Explicit solvent simulations of friction between brush layers of charged and neutral bottle-brush macromolecules. Macromolecules 45, 8880–8891 (2012)CrossRef
50.
Zurück zum Zitat Elliott, I.G., Kuhl, T.L., Faller, R.: Compression of high grafting density opposing polymer brushes using molecular dynamics simulations in explicit solvent. J. Phys. Chem. B 117, 4134–4141 (2013)CrossRef Elliott, I.G., Kuhl, T.L., Faller, R.: Compression of high grafting density opposing polymer brushes using molecular dynamics simulations in explicit solvent. J. Phys. Chem. B 117, 4134–4141 (2013)CrossRef
51.
Zurück zum Zitat Jentzsch, C., Sommer, J.-U.: Polymer brushes in explicit poor solvents studied using a new variant of the bond fluctuation model. J. Chem. Phys. 141, 104908 (2014)CrossRef Jentzsch, C., Sommer, J.-U.: Polymer brushes in explicit poor solvents studied using a new variant of the bond fluctuation model. J. Chem. Phys. 141, 104908 (2014)CrossRef
52.
Zurück zum Zitat Kreer, T., Binder, K., Müser, M.H.: Friction between polymer brushes in good solvent conditions: steady-state sliding versus transient behavior. Langmuir 19, 7551–7559 (2003)CrossRef Kreer, T., Binder, K., Müser, M.H.: Friction between polymer brushes in good solvent conditions: steady-state sliding versus transient behavior. Langmuir 19, 7551–7559 (2003)CrossRef
53.
Zurück zum Zitat Kreer, T., Müser, M.H., Binder, K., Klein, J.: Frictional drag mechanisms between polymer-bearing surfaces. Langmuir 17, 7804–7813 (2001)CrossRef Kreer, T., Müser, M.H., Binder, K., Klein, J.: Frictional drag mechanisms between polymer-bearing surfaces. Langmuir 17, 7804–7813 (2001)CrossRef
54.
Zurück zum Zitat Kreer, T., Müser, M.H.: On the tribology and rheology of polymer brushes in good solvent conditions: a molecular dynamics study. Wear 254, 827–831 (2003)CrossRef Kreer, T., Müser, M.H.: On the tribology and rheology of polymer brushes in good solvent conditions: a molecular dynamics study. Wear 254, 827–831 (2003)CrossRef
55.
Zurück zum Zitat de Beer, S., Müser, M.H.: Alternative dissipation mechanisms and the effect of the solvent in friction between polymer brushes on rough surfaces. Soft Matter 9, 7234 (2013)CrossRef de Beer, S., Müser, M.H.: Alternative dissipation mechanisms and the effect of the solvent in friction between polymer brushes on rough surfaces. Soft Matter 9, 7234 (2013)CrossRef
56.
Zurück zum Zitat Dimitrov, D.I., Milchev, A., Binder, K.: Polymer brushes in solvents of variable quality: molecular dynamics simulations using explicit solvent. J. Chem. Phys. 127, 084905 (2007)CrossRef Dimitrov, D.I., Milchev, A., Binder, K.: Polymer brushes in solvents of variable quality: molecular dynamics simulations using explicit solvent. J. Chem. Phys. 127, 084905 (2007)CrossRef
57.
Zurück zum Zitat Galuschko, A.: Molecular Dynamics Simulations of Sheared Polymer Brushes. PhD Thesis. Strasbourg University. (2010) Galuschko, A.: Molecular Dynamics Simulations of Sheared Polymer Brushes. PhD Thesis. Strasbourg University. (2010)
58.
Zurück zum Zitat Pastorino, C., Kreer, T., Müller, M., Binder, K.: Comparison of dissipative particle dynamics and Langevin thermostats for out-of-equilibrium simulations of polymeric systems. Phys. Rev. E 76, 026706 (2007)CrossRef Pastorino, C., Kreer, T., Müller, M., Binder, K.: Comparison of dissipative particle dynamics and Langevin thermostats for out-of-equilibrium simulations of polymeric systems. Phys. Rev. E 76, 026706 (2007)CrossRef
59.
Zurück zum Zitat Chen, J., Zhou, S.-M., Ma, B.-G., Zhang, L.-M., Yi, J.-Z.: Molecular dynamics simulations on dextran hydrogels. e-Polymers 13, 1–8 (2013)CrossRef Chen, J., Zhou, S.-M., Ma, B.-G., Zhang, L.-M., Yi, J.-Z.: Molecular dynamics simulations on dextran hydrogels. e-Polymers 13, 1–8 (2013)CrossRef
60.
Zurück zum Zitat Walter, J., Sehrt, J., Vrabec, J., Hasse, H.: Molecular dynamics and experimental study of conformation change of poly(N-isopropylacrylamide) hydrogels in mixtures of water and methanol. J. Phys. Chem. B 116, 5251–5259 (2012)CrossRef Walter, J., Sehrt, J., Vrabec, J., Hasse, H.: Molecular dynamics and experimental study of conformation change of poly(N-isopropylacrylamide) hydrogels in mixtures of water and methanol. J. Phys. Chem. B 116, 5251–5259 (2012)CrossRef
61.
Zurück zum Zitat Tönsing, T., Oldiges, C.: Molecular dynamic simulation study on structure of water in crosslinked poly(N-isopropylacrylamide) hydrogels. Phys. Chem. Chem. Phys. 3, 5542–5549 (2001)CrossRef Tönsing, T., Oldiges, C.: Molecular dynamic simulation study on structure of water in crosslinked poly(N-isopropylacrylamide) hydrogels. Phys. Chem. Chem. Phys. 3, 5542–5549 (2001)CrossRef
62.
Zurück zum Zitat Hoffmann, M., Lang, M., Sommer, J.-U.: Gelation threshold of cross-linked polymer brushes. Phys. Rev. E 83, 021803 (2011)CrossRef Hoffmann, M., Lang, M., Sommer, J.-U.: Gelation threshold of cross-linked polymer brushes. Phys. Rev. E 83, 021803 (2011)CrossRef
63.
Zurück zum Zitat Ou, X., Han, Q., Dai, H.-H., Wang, J.: Molecular dynamic simulations of the water absorbency of hydrogels. J. Molec. Model. 21, 231 (2015)CrossRef Ou, X., Han, Q., Dai, H.-H., Wang, J.: Molecular dynamic simulations of the water absorbency of hydrogels. J. Molec. Model. 21, 231 (2015)CrossRef
64.
Zurück zum Zitat Plimpton, S.: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)CrossRef Plimpton, S.: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1–19 (1995)CrossRef
65.
Zurück zum Zitat Kröger, M.: Efficient hybrid algorithm for the dynamic creation of wormlike chains in solutions, brushes, melts and glasses. Comput. Phys. Commun. 118, 278–298 (1999)CrossRef Kröger, M.: Efficient hybrid algorithm for the dynamic creation of wormlike chains in solutions, brushes, melts and glasses. Comput. Phys. Commun. 118, 278–298 (1999)CrossRef
Metadaten
Titel
Effect of Crosslinking on the Microtribological Behavior of Model Polymer Brushes
verfasst von
Manjesh K. Singh
Patrick Ilg
Rosa M. Espinosa-Marzal
Martin Kröger
Nicholas D. Spencer
Publikationsdatum
01.08.2016
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 2/2016
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-016-0705-8

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Tribology Letters 2/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.