Simple model for the deformation-induced eelaxation of glassy polymers

Physical Review Letters

Volumn 108, Issue 4, 2012, Pages

  Fielding, S M ^a   Larson, R G ^b   Cates, M E ^c  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF MICHIGAN   (United States)

^c UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTANT LOADS; EXTENSIONAL LOADS; GLASSY POLYMERS; MINIMAL MODEL; SEGMENTAL MODE; SEGMENTAL MOTION; SEGMENTAL RELAXATION;

DEFORMATION; LIQUEFACTION; STRAIN HARDENING;

POLYMERS;

EID: 84856173108     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.048301     Document Type: Article

References (41)

1. T.C.B. McLeish, Adv. Phys. ADPHAH 0001-8732 51, 1379 (2002). 10.1080/00018730210153216 (Pubitemid 35241942)
2. R.G. Larson, Constitutive Equations for Polymer Melts and Solutions (Butterworth-Heinemann, Boston, 1988).
3. H.-N. Lee, K. Paeng, S.F. Swallen, and M.D. Ediger, Science 323, 231 (2009). SCIEAS 0036-8075 10.1126/science.1165995
4. L.C.E. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, New York, 1978).
5. P.G. Debenedetti and F.H. Stillinger, Nature (London) NATUAS 0028-0836 410, 259 (2001). 10.1038/35065704 (Pubitemid 32218700)
6. D.C. Hofmann, Nature (London) NATUAS 0028-0836 451, 1085 (2008). 10.1038/nature06598 (Pubitemid 351317446)
7. P. Schall, D.A. Weitz, and F. Spaepen, Science 318, 1895 (2007). SCIEAS 0036-8075 10.1126/science.1149308
8. J.M. Brader, M.E. Cates, and M. Fuchs, Phys. Rev. Lett. 101, 138301 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.138301
9. J.M. Brader, T. Voigtmann, M. Fuchs, R. Larson, and M.E. Cates, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 106, 15186 (2009). 10.1073/pnas. 0905330106
10. S.M. Fielding, P. Sollich, and M.E. Cates, J. Rheol. 44, 323 (2000). JORHD2 0148-6055 10.1122/1.551088
11. K. Chen and K.S. Schweizer, Europhys. Lett. 79, 26006 (2007). EULEEJ 0295-5075 10.1209/0295-5075/79/26006
12. M.L. Falk and J.S. Langer, Annu. Rev. Condens. Matter Phys. 1947-5454 2, 353 (2011). 10.1146/annurev-conmatphys-062910-140452
13. C. Derec, A. Ajdari, F. Lequeux, Eur. Phys. J. E 4, 355 (2001). EPJSFH 1292-8941 10.1007/s101890170118
14. P. Coussot, Q.D. Nguyen, H.T. Huynh, and D. Bonn, Phys. Rev. Lett. 88, 175501 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.175501
15. B. Rinn, P. Maass, and J.-P. Bouchaud, Phys. Rev. Lett. 84, 5403 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.5403
16. H.-N. Lee and M.D. Ediger, Macromolecules 43, 5863 (2010). MAMOBX 0024-9297 10.1021/ma1006649
17. R.A. Riggleman, H.N. Lee, M.D. Ediger, and J.J. de Pablo, Phys. Rev. Lett. 99, 215501 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.215501 (Pubitemid 350137184)
18. H.N. Lee, R.A. Riggleman, J.J. de Pablo, and M.D. Ediger, Macromolecules 42, 4328 (2009). MAMOBX 0024-9297 10.1021/ma900394n
19. M. Warren and J. Rottler, Phys. Rev. E PLEEE8 1539-3755 76, 031802 (2007). 10.1103/PhysRevE.76.031802 (Pubitemid 47443127)
20. M. Warren and J. Rottler, Phys. Rev. Lett. 104, 205501 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.205501
21. H. Eyring, J. Chem. Phys. 4, 283 (1936). JCPSA6 0021-9606 10.1063/1.1749836
22. K. Chen and K.S. Schweizer, Phys. Rev. Lett. 102, 038301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.038301
23. K. Chen and K.S. Schweizer, Phys. Rev. E PLEEE8 1539-3755 82, 041804 (2010). 10.1103/PhysRevE.82.041804
24. K. Chen, E.J. Saltzman, and K.S. Schweizer, J. Phys. Condens. Matter JCOMEL 0953-8984 21, 503101 (2009). 10.1088/0953-8984/21/50/503101
25. R.N. Haward and G. Thackray, Proc. R. Soc. A PRLAAZ 1364-5021 302, 453 (1968). 10.1098/rspa.1968.0029
26. E.T.J. Klompen, T.A.P. Engels, L.E.Govaert, and H.E.H. Meijer, Macromolecules 38, 6997 (2005). MAMOBX 0024-9297 10.1021/ma050498v (Pubitemid 41181646)
27. R.S. Hoy and C.S. O'Hern, Phys. Rev. E PLEEE8 1539-3755 82, 041803 (2010). 10.1103/PhysRevE.82.041803
28. R.S. Hoy and M.O. Robbins, Phys. Rev. Lett. 99, 117801 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.117801 (Pubitemid 47429406)
29. K. Nayak, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 49, 920 (2011). 10.1002/polb.22263
30. P.J. Hine, A. Duckett, and D.J. Read, Macromolecules 40, 2782 (2007). MAMOBX 0024-9297 10.1021/ma062474+ (Pubitemid 46686428)
31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.048301 for the lubrication theory, numerical methods, parameter estimations, and some additional results.
32. L.C.A. van Breemen, E.T.J. Klompen, L.E. Govaert, and H.E.H. Meijer, J. Mech. Phys. Solids JMPSA8 0022-5096 59, 2191 (2011). 10.1016/j.jmps.2011.05.001
33. R.N. Haward, Macromolecules 26, 5860 (1993). MAMOBX 0024-9297 10.1021/ma00074a006
34. R.G. Larson, Rheol. Acta 29, 371 (1990). RHEAAK 0035-4511 10.1007/BF01376787
35. E.J. Hinch, J. Non-Newtonian Fluid Mech. 54, 209 (1994). JNFMDI 0377-0257 10.1016/0377-0257(94)80023-5
36. J.P. Rothstein and G.H. McKinley, J. Non-Newtonian Fluid Mech. 108, 275 (2002). JNFMDI 0377-0257 10.1016/S0377-0257(02)00134-9 (Pubitemid 36141408)
37. M.M. Denn, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 12, 365 (1980). 10.1146/annurev.fl.12.010180.002053
38. M.A. Matovich and J.R.A. Pearson, Ind. Eng. Chem. Fundam. IECFA7 0196-4313 8, 512 (1969). 10.1021/i160031a023
39. D.O. Olagunju, J. Non-Newtonian Fluid Mech. 87, 27 (1999). JNFMDI 0377-0257 10.1016/S0377-0257(99)00007-5 (Pubitemid 30014968)
40. W.H. Press, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988).
41. Physical Properties of Polymers Handbook, edited by J.E. Mark (Springer, New York, 2007), 2nd ed.