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Erschienen in: Rheologica Acta 8/2007

01.10.2007 | Original Contribution

Stress relaxation of large amplitudes and long timescales in soft thermoplastic and filled elastomers

verfasst von: Didier Long, Paul Sotta

Erschienen in: Rheologica Acta | Ausgabe 8/2007

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Abstract

We propose a model for describing mesoscale relaxation mechanisms in soft thermoplastic elastomers and also in the high-temperature regime of filled rubbers. The model consists of hard spheres embedded in an elastic matrix. It is solved by dissipative particle dynamics. We study the response of the model to deformations of various amplitudes. We show that it displays slow relaxation processes of large amplitudes that are related to irreversible reorganizations at a mesoscopic scale. We characterize these reorganizations as buckling of instabilities that change the local environment of the hard inclusions.

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Literatur
Zurück zum Zitat Alexander S (1998) Amophous solids: their structure, lattice dynamics and elasticity. Phys Rep 296:65–236CrossRef Alexander S (1998) Amophous solids: their structure, lattice dynamics and elasticity. Phys Rep 296:65–236CrossRef
Zurück zum Zitat Arbabi S, Sahimi M (1990) Critical properties of viscoelasticity of gels and elastic percolation networks. Phys Rev Lett 65:725–728CrossRef Arbabi S, Sahimi M (1990) Critical properties of viscoelasticity of gels and elastic percolation networks. Phys Rev Lett 65:725–728CrossRef
Zurück zum Zitat Bastide J, Leibler L (1988) Large-scale heterogeneities in randomly cross-linked networks. Macromolecules 21:2647–2649CrossRef Bastide J, Leibler L (1988) Large-scale heterogeneities in randomly cross-linked networks. Macromolecules 21:2647–2649CrossRef
Zurück zum Zitat Bastide J, Leibler L, Prost J (1990) Scattering by swollen gels- butterfly isointensity patterns. Macromolecules 23:1821–1825CrossRef Bastide J, Leibler L, Prost J (1990) Scattering by swollen gels- butterfly isointensity patterns. Macromolecules 23:1821–1825CrossRef
Zurück zum Zitat Berriot J, Montès H, Lequeux F, Long D, Sotta P (2002) Evidence for the shift of the glass transition near the particles in silica-filled elastomers. Macromolecules 35:9756–9762CrossRef Berriot J, Montès H, Lequeux F, Long D, Sotta P (2002) Evidence for the shift of the glass transition near the particles in silica-filled elastomers. Macromolecules 35:9756–9762CrossRef
Zurück zum Zitat Berriot J, Montès H, Lequeux F, Long D, Sotta P (2003) Gradient of glass transition temperature in filled elastomers. Europhys Lett 64:50–56CrossRef Berriot J, Montès H, Lequeux F, Long D, Sotta P (2003) Gradient of glass transition temperature in filled elastomers. Europhys Lett 64:50–56CrossRef
Zurück zum Zitat Chasset R, Thirion P (1965) In: Prins JA (ed) Proceedings of the conference on physics of non-crystalline solids. North-Holland Publishing, Amsterdam, p 345 Chasset R, Thirion P (1965) In: Prins JA (ed) Proceedings of the conference on physics of non-crystalline solids. North-Holland Publishing, Amsterdam, p 345
Zurück zum Zitat Curro JG, Pincus P (1983) A theoretical basis for viscoelastic relaxation of elastomers in the long-time limit. Macromolecules 16:559–562CrossRef Curro JG, Pincus P (1983) A theoretical basis for viscoelastic relaxation of elastomers in the long-time limit. Macromolecules 16:559–562CrossRef
Zurück zum Zitat DeGennes P-G (1976) Relation between percolation theory and elasticity of gels. J Phys Lett 37:L1–L2CrossRef DeGennes P-G (1976) Relation between percolation theory and elasticity of gels. J Phys Lett 37:L1–L2CrossRef
Zurück zum Zitat Dickie RA, Ferry JD (1966) Dynamic mechanical properties of cross-linked rubbers. III. Dicumyl peroxide vulcanizates of natural rubber. J Phys Chem 70:2594–2600CrossRef Dickie RA, Ferry JD (1966) Dynamic mechanical properties of cross-linked rubbers. III. Dicumyl peroxide vulcanizates of natural rubber. J Phys Chem 70:2594–2600CrossRef
Zurück zum Zitat DiDonna BA, Lubensky TC (2005) Nonaffine correlations in random elastic media. Phys Rev E 72:066619CrossRef DiDonna BA, Lubensky TC (2005) Nonaffine correlations in random elastic media. Phys Rev E 72:066619CrossRef
Zurück zum Zitat Doi M, Edwards SF (1986) The theory of polymers dynamics. Clarendon, Oxford Doi M, Edwards SF (1986) The theory of polymers dynamics. Clarendon, Oxford
Zurück zum Zitat Edwards DC (1990) Polymer-filler interactions in rubber reinforcement. J Mater Sci 25:4175–4185CrossRef Edwards DC (1990) Polymer-filler interactions in rubber reinforcement. J Mater Sci 25:4175–4185CrossRef
Zurück zum Zitat Epps TH, Cochran EW, Hardy CM, Bailey TS, Waletzko RS, Bates FS (2004) Network phases in ABC triblock copolymers. Macromolecules 37:7085–7088CrossRef Epps TH, Cochran EW, Hardy CM, Bailey TS, Waletzko RS, Bates FS (2004) Network phases in ABC triblock copolymers. Macromolecules 37:7085–7088CrossRef
Zurück zum Zitat Farago O, Kantor Y (2000) Entropic elasticity of phantom percolation networks. Europhys Lett 52:413–419CrossRef Farago O, Kantor Y (2000) Entropic elasticity of phantom percolation networks. Europhys Lett 52:413–419CrossRef
Zurück zum Zitat Feng S, Sen PN (1984) Percolation on elastic networks—new exponent and threshold. Phys Rev Lett 52:216–219CrossRef Feng S, Sen PN (1984) Percolation on elastic networks—new exponent and threshold. Phys Rev Lett 52:216–219CrossRef
Zurück zum Zitat Ferry JD (1980) Viscoelastic properties of polymers. Wiley, New York Ferry JD (1980) Viscoelastic properties of polymers. Wiley, New York
Zurück zum Zitat Gusev AA (2004) Finite element mapping for spring network representations of the mechanics of solids. Phys Rev Lett 93:0304302–0304304CrossRef Gusev AA (2004) Finite element mapping for spring network representations of the mechanics of solids. Phys Rev Lett 93:0304302–0304304CrossRef
Zurück zum Zitat Haidar B, Salah Deradji H, Vidal A, Papirer E (1996) Physical aging phenomena in silica and glass beads filled elastomers (EPDM). Macromol Symp 108:147–161 Haidar B, Salah Deradji H, Vidal A, Papirer E (1996) Physical aging phenomena in silica and glass beads filled elastomers (EPDM). Macromol Symp 108:147–161
Zurück zum Zitat Harwood JAC, Mullins L, Payne AR (1965) Stress softening effects in pure gum and filler loaded rubbers. J Appl Polym Sci 9:3011–3021CrossRef Harwood JAC, Mullins L, Payne AR (1965) Stress softening effects in pure gum and filler loaded rubbers. J Appl Polym Sci 9:3011–3021CrossRef
Zurück zum Zitat Holden G, Kricheldorf HR, Quirk RP (2004) Thermoplastic elastomers. Hanser Publishers, Munich Holden G, Kricheldorf HR, Quirk RP (2004) Thermoplastic elastomers. Hanser Publishers, Munich
Zurück zum Zitat Kantor Y, Webman I (1984) Elastic properties of random percolating systems. Phys Rev Lett 52:1891–1894CrossRef Kantor Y, Webman I (1984) Elastic properties of random percolating systems. Phys Rev Lett 52:1891–1894CrossRef
Zurück zum Zitat Kaufmann S, Slichter WP, Davis DD (1971) Nuclear magnetic resonance study of rubber-carbon black interactions. J Polym Sci A2 9:829–839CrossRef Kaufmann S, Slichter WP, Davis DD (1971) Nuclear magnetic resonance study of rubber-carbon black interactions. J Polym Sci A2 9:829–839CrossRef
Zurück zum Zitat Kazanci M, Cohn D, Marom G, Migliaresi C, Pegoretti A (2002) Fatigue characterization of polyethylene fiber reinforced polyolefin biomedical composites. Composites: part A 33:453–458 Kazanci M, Cohn D, Marom G, Migliaresi C, Pegoretti A (2002) Fatigue characterization of polyethylene fiber reinforced polyolefin biomedical composites. Composites: part A 33:453–458
Zurück zum Zitat Kellomaki M, Astrom J, Timonen J (1996) Rigidity and dynamics of random spring networks. Phys Rev Lett 77:2730–2733CrossRef Kellomaki M, Astrom J, Timonen J (1996) Rigidity and dynamics of random spring networks. Phys Rev Lett 77:2730–2733CrossRef
Zurück zum Zitat Kraus G (1984) Mechanical losses in carbon-black-filled rubbers. J Appl Polym Sci Appl Polym Symp 39:75–92 Kraus G (1984) Mechanical losses in carbon-black-filled rubbers. J Appl Polym Sci Appl Polym Symp 39:75–92
Zurück zum Zitat Kwee T, Taylor SJ, Mauritz KA, Storey RF (2005) Morphology and mechanical and dynamic mechanical properties of linear and star poly(styrene-b-isobutylene-b-styrene) block copolymers. Polymer 46:4480–4491CrossRef Kwee T, Taylor SJ, Mauritz KA, Storey RF (2005) Morphology and mechanical and dynamic mechanical properties of linear and star poly(styrene-b-isobutylene-b-styrene) block copolymers. Polymer 46:4480–4491CrossRef
Zurück zum Zitat Landau LD, Lifshitz EM (1993) Elasticity. Pergamon, New York Landau LD, Lifshitz EM (1993) Elasticity. Pergamon, New York
Zurück zum Zitat Long D, Sotta P (2005) IMA volume in mathematics and its applications: modeling of soft matter. In: Calderer M-CT, Terentjev EM (eds) 141:205–234 Long D, Sotta P (2005) IMA volume in mathematics and its applications: modeling of soft matter. In: Calderer M-CT, Terentjev EM (eds) 141:205–234
Zurück zum Zitat Long D, Sotta P (2006) Nonlinear and plastic behavior of soft thermoplastic and filled elastomers studied by dissipative particle dynamics. Macromolecules 39:6282–6297CrossRef Long D, Sotta P (2006) Nonlinear and plastic behavior of soft thermoplastic and filled elastomers studied by dissipative particle dynamics. Macromolecules 39:6282–6297CrossRef
Zurück zum Zitat Matsuo ES, Orkisz M, Sun S-T, Li Y, Tanaka T (1994) Origin of structural inhomogeneities in polymer gels. Macromolecules 27:6791–6796CrossRef Matsuo ES, Orkisz M, Sun S-T, Li Y, Tanaka T (1994) Origin of structural inhomogeneities in polymer gels. Macromolecules 27:6791–6796CrossRef
Zurück zum Zitat Mars WV, Fatemi A (2002) A literature survey on fatigue analysis approaches for rubber. Int J Fatigue 24:949–961CrossRef Mars WV, Fatemi A (2002) A literature survey on fatigue analysis approaches for rubber. Int J Fatigue 24:949–961CrossRef
Zurück zum Zitat Montès H, Lequeux F, Berriot J (2003) Influence of the glass transition temperature gradient on the nonlinear viscoelastic behavior in reinforced elastomers. Macromolecules 36:8107–8118CrossRef Montès H, Lequeux F, Berriot J (2003) Influence of the glass transition temperature gradient on the nonlinear viscoelastic behavior in reinforced elastomers. Macromolecules 36:8107–8118CrossRef
Zurück zum Zitat Nielsen LE, Landel RF (1994) Mechanical properties of polymers and composites. Marcel Dekker, New York Nielsen LE, Landel RF (1994) Mechanical properties of polymers and composites. Marcel Dekker, New York
Zurück zum Zitat Panyukov S, Rabin Y (1996) Polymer gels: frozen inhomogeneities and density fluctuations. Macromolecules 29:7960–7975CrossRef Panyukov S, Rabin Y (1996) Polymer gels: frozen inhomogeneities and density fluctuations. Macromolecules 29:7960–7975CrossRef
Zurück zum Zitat Pego AP, Grijpma DW, Feijen J (2003) Enhanced mechanical properties of 1,3-trimethylene carbonate polymers and networks. Polymer 44:6495–6504CrossRef Pego AP, Grijpma DW, Feijen J (2003) Enhanced mechanical properties of 1,3-trimethylene carbonate polymers and networks. Polymer 44:6495–6504CrossRef
Zurück zum Zitat Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1992) Numerical recipes in C: the art of scientific computing. Cambridge University Press, Cambridge Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1992) Numerical recipes in C: the art of scientific computing. Cambridge University Press, Cambridge
Zurück zum Zitat Ramzi A, Zielinski F, Bastide J, Boué F (1995) Butterfly patterns-small-angle neutron-scattering from deuterated mobile chains in a randomly cross-linked polystyrene network. Macromolecules 28:3570–3587CrossRef Ramzi A, Zielinski F, Bastide J, Boué F (1995) Butterfly patterns-small-angle neutron-scattering from deuterated mobile chains in a randomly cross-linked polystyrene network. Macromolecules 28:3570–3587CrossRef
Zurück zum Zitat Ramzi A, Hakiki A, Bastide J, Boué F (1997) Uniaxial extension of end-linked polystyrene networks containing deuterated free chains studied by small-angle neutron scattering: effect of the network chains and the size of the free chains. Macromolecules 30:2963–2977CrossRef Ramzi A, Hakiki A, Bastide J, Boué F (1997) Uniaxial extension of end-linked polystyrene networks containing deuterated free chains studied by small-angle neutron scattering: effect of the network chains and the size of the free chains. Macromolecules 30:2963–2977CrossRef
Zurück zum Zitat Rouf C, Bastide J, Pujol JM, Schosseler F, Munch JP (1994) Strain effect on quasi-static fluctuations in a polymer gel. Phys Rev Lett 73:830–833CrossRef Rouf C, Bastide J, Pujol JM, Schosseler F, Munch JP (1994) Strain effect on quasi-static fluctuations in a polymer gel. Phys Rev Lett 73:830–833CrossRef
Zurück zum Zitat Rubinstein M, Leibler L, Bastide J (1992) Giant fluctuations of cross-link positions in gels. Phys Rev Lett 68:405–407CrossRef Rubinstein M, Leibler L, Bastide J (1992) Giant fluctuations of cross-link positions in gels. Phys Rev Lett 68:405–407CrossRef
Zurück zum Zitat Ruzette A-V, Leibler L (2005) Block copolymers in tomorrow’s plastics. Nature Materials 4:19–31CrossRef Ruzette A-V, Leibler L (2005) Block copolymers in tomorrow’s plastics. Nature Materials 4:19–31CrossRef
Zurück zum Zitat Starr FW, Schroder BT, Glotzer SC (2002) Molecular dynamics simulation of a polymer melt with a nanosocpic particle. Macromolecules 35:4481–4492CrossRef Starr FW, Schroder BT, Glotzer SC (2002) Molecular dynamics simulation of a polymer melt with a nanosocpic particle. Macromolecules 35:4481–4492CrossRef
Zurück zum Zitat Struik LCE (1987) The mechanical and physical aging of semicrystalline polymers. Polymer 28:1521–1533CrossRef Struik LCE (1987) The mechanical and physical aging of semicrystalline polymers. Polymer 28:1521–1533CrossRef
Zurück zum Zitat Tong JD, Moineau G, Leclere Ph, Brédas JL, Lazzaroni R, Jérome R (2000) Synthesis, morphology and mechanical properties of poly(methyl methacrylate)-b-poly(n-butyl acrylate)-b-poly(methyl methacrylate) triblocks. Ligated anionic polymerization vs atom transfer. Macromolecules 33:470–479CrossRef Tong JD, Moineau G, Leclere Ph, Brédas JL, Lazzaroni R, Jérome R (2000) Synthesis, morphology and mechanical properties of poly(methyl methacrylate)-b-poly(n-butyl acrylate)-b-poly(methyl methacrylate) triblocks. Ligated anionic polymerization vs atom transfer. Macromolecules 33:470–479CrossRef
Zurück zum Zitat Tsagaropoulos G, Eisenberg A (1995) Dynamic-mechanical study of the factors affecting the 2 glass-transition behavior of filled polymers- similarities and differences with random ionomers. Macromolecules 28:6067–6077CrossRef Tsagaropoulos G, Eisenberg A (1995) Dynamic-mechanical study of the factors affecting the 2 glass-transition behavior of filled polymers- similarities and differences with random ionomers. Macromolecules 28:6067–6077CrossRef
Zurück zum Zitat Wang MJ (1998) Effect of polymer-filler and filler-filler interactions on dynamic properties of filled vulcanizates. Rubber Chem Technol 71:520–589 Wang MJ (1998) Effect of polymer-filler and filler-filler interactions on dynamic properties of filled vulcanizates. Rubber Chem Technol 71:520–589
Zurück zum Zitat Weiner JH (1983) Statistical mechanics of elasticity. Wiley, New York Weiner JH (1983) Statistical mechanics of elasticity. Wiley, New York
Zurück zum Zitat Westermann S, Kreitschmann M, Pyckout-Hintzen W, Richter D, Straube E, Farago B, Goerigk G (1999) Matrix chain deformation in reinforced networks: a SANS approach. Macromolecules 32:5793–5802CrossRef Westermann S, Kreitschmann M, Pyckout-Hintzen W, Richter D, Straube E, Farago B, Goerigk G (1999) Matrix chain deformation in reinforced networks: a SANS approach. Macromolecules 32:5793–5802CrossRef
Zurück zum Zitat Westermann S, Pyckout-Hintzen W, Richter D, Straube E, Egelhaaf S, May R (2001) On the length scale dependence of microscopic strain by SANS. Macromolecules 34:2186–2194CrossRef Westermann S, Pyckout-Hintzen W, Richter D, Straube E, Egelhaaf S, May R (2001) On the length scale dependence of microscopic strain by SANS. Macromolecules 34:2186–2194CrossRef
Metadaten
Titel
Stress relaxation of large amplitudes and long timescales in soft thermoplastic and filled elastomers
verfasst von
Didier Long
Paul Sotta
Publikationsdatum
01.10.2007
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 8/2007
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-007-0187-6

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