On the nonlinear stress-strain behavior of nematic elastomers - materials of two coupled preferred directions

Journal of Applied Physics

Volumn 105, Issue 1, 2009, Pages

  Menzel, Andreas M ^a   Pleiner, Harald ^b   Brand, Helmut R ^a,b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b MAX PLANCK INSTITUTE FOR POLYMER RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTOR FIELDS; DIRECTOR REORIENTATION; EXPERIMENTAL OBSERVATION; LINEAR ELASTIC; LIQUID CRYSTALLINE PHASE; LIQUID SINGLE CRYSTAL ELASTOMERS; MACROSCOPIC MODEL; MONODOMAIN; NEMATIC ELASTOMERS; NON-LINEAR ELASTIC BEHAVIOR; NON-LINEAR REGIMES; NON-LINEAR STRESS-STRAIN BEHAVIOR; NONLINEAR STRAIN; POLYMER NETWORKS; RELATIVE ROTATION; SIDE-CHAIN; STRESS STRAIN RELATION;

ELASTOMERS; LIQUID CRYSTAL POLYMERS; LIQUIDS; PLASTICS; ROTATION; RUBBER; SINGLE CRYSTALS; STRESS-STRAIN CURVES;

MATERIALS PROPERTIES;

EID: 67649767099     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3054295     Document Type: Article

References (42)

1. J. Küpfer and H. Finkelmann, Makromol. Chem., Rapid Commun. 0173-2803 10.1002/marc.1991.030121211 12, 717 (1991).
2. J. Küpfer and H. Finkelmann, Macromol. Chem. Phys. 1022-1352 10.1002/macp.1994.021950419 195, 1353 (1994).
3. I. Kundler and H. Finkelmann, Macromol. Rapid Commun. 1022-1336 10.1002/marc.1995.030160908 16, 679 (1995).
4. I. Kundler and H. Finkelmann, Macromol. Chem. Phys. 1022-1352 10.1002/(SICI)1521-3935(19980401)199:4677::AID-MACP6773.0.CO;2-E 199, 677 (1998).
5. K. Urayama, S. Honda, and T. Takigawa, Macromolecules 0024-9297 10.1021/ma0503054 38, 3574 (2005).
6. Y. Yusuf, J. H. Huh, P. E. Cladis, H. R. Brand, H. Finkelmann, and S. Kai, Phys. Rev. E 1063-651X 10.1103/PhysRevE.71.061702 71, 061702 (2005).
7. D. -U. Cho, Y. Yusuf, P. E. Cladis, H. R. Brand, H. Finkelmann, and S. Kai, Jpn. J. Appl. Phys., Part 1 0021-4922 10.1143/JJAP.46.1106 46, 1106 (2007).
8. M. Warner and E. M. Terentjev, Liquid Crystal Elastomers (Clarendon, Oxford, 2003), and references therein.
9. S. Conti, A. DeSimone, and G. Dolzmann, J. Mech. Phys. Solids 0022-5096 10.1016/S0022-5096(01)00120-X 50, 1431 (2002).
10. D. Rogez, G. Francius, H. Finkelmann, and P. Martinoty, Eur. Phys. J. E 1292-8941 10.1140/epje/i2005-10132-5 20, 369 (2006).
11. P. Martinoty, P. Stein, H. Finkelmann, H. Pleiner, and H. R. Brand, Eur. Phys. J. E 14, 311 (2004). 1292-8941
12. H. R. Brand, H. Pleiner, and P. Martinoty, Soft Matter 1744-683X 10.1039/b512693m 2, 182 (2006).
13. L. Golubović and T. C. Lubensky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.63.1082 63, 1082 (1989).
14. F. Ye, R. Mukhopadhyay, O. Stenull, and T. C. Lubensky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.147801 98, 147801 (2007).
15. E. Fried and S. Sellers, J. Mech. Phys. Solids 0022-5096 10.1016/j.jmps.2003.12.005 52, 1671 (2004).
16. E. Fried and S. Sellers, J. Appl. Phys. 0021-8979 10.1063/1.2234824 100, 043521 (2006).
17. P. G. de Gennes, in Liquid Crystals of One- and Two-Dimensional Order, edited by, W. Helfrich, and, G. Heppke, (Springer, Berlin, 1980), p. 231.
18. H. R. Brand and H. Pleiner, Physica A 0378-4371 10.1016/0378-4371(94) 00060-3 208, 359 (1994).
19. J. Weilepp and H. R. Brand, Europhys. Lett. 0295-5075 10.1209/epl/i1996-00485-9 34, 495 (1996).
20. O. Müller and H. R. Brand, Eur. Phys. J. E 1292-8941 10.1140/epje/i2004-10105-2 17, 53 (2005).
21. A. M. Menzel and H. R. Brand, Eur. Phys. J. E 1292-8941 10.1140/epje/i2007-10320-3 26, 235 (2008).
22. A. M. Menzel, H. Pleiner, and H. R. Brand, J. Chem. Phys. 0021-9606 10.1063/1.2742383 126, 234901 (2007).
23. P. G. de Gennes, M. H́bert, and R. Kant, Macromol. Symp. 113, 39 (1997). 1022-1360
24. M. H́bert, R. Kant, and P. G. de Gennes, J. Phys. I 1155-4304 10.1051/jp1:1997209 7, 909 (1997).
25. Y. Yu and T. Ikeda, Angew. Chem., Int. Ed. 1433-7851 10.1002/anie. 200601760 45, 5416 (2006).
26. A. Cho, Science 287, 783a (2000) 0036-8075; R. Pelrine, R. Kornbluh, Q. Pei, and J. Joseph, Science 0036-8075 10.1126/science.287.5454.836 287, 836 (2000).
27. F. Vollrath and D. P. Knight, Nature (London) 0028-0836 10.1038/35069000 410, 541 (2001), and references therein.
28. G. R. Plaza, G. V. Guinea, J. Ṕrez-Rigueiro, and M. Elices, J. Polym. Sci., Part B: Polym. Phys. 44, 994 (2006).
29. K. Urayama, R. Mashita, I. Kobayashi, and T. Takigawa, Macromolecules 40, 7665 (2007).
30. F. Brömmel and H. Finkelmann (unpublished).
31. H. R. Brand and K. Kawasaki, Macromol. Rapid Commun. 1022-1336 10.1002/marc.1994.030150311 15, 251 (1994).
32. C. H. Legge, F. J. Davis, and G. R. Mitchell, J. Phys. II 1, 1253 (1991).
33. S. T. Kim and H. Finkelmann, Macromol. Rapid Commun. 1022-1336 10.1002/1521-3927(20010301)22:6429::AID-MARC4293.0.CO;2-# 22, 429 (2001).
34. A. Komp, J. Rühe, and H. Finkelmann, Macromol. Rapid Commun. 1022-1336 10.1002/marc.200500049 26, 813 (2005).
35. More precisely, a so-called initial field a (r) must be used in an Eulerian description instead of the displacement field u (r). However, in a static picture, we can also perform our analysis in terms of u (r).
36. H. Temmen, H. Pleiner, M. Liu, and H. R. Brand, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.84.3228 84, 3228 (2000).
37. H. Pleiner, M. Liu, and H. R. Brand, Rheol. Acta 0035-4511 10.1007/s003970000100 39, 560 (2000).
38. L. R. G. Treloar, The Physics of Rubber Elasticity (Clarendon, Oxford, 1975).
39. G. R. Mitchell, F. J. Davis, and W. Guo, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.2947 71, 2947 (1993).
40. A. Lebar, Z. Kutnjak, S. Žumer, H. Finkelmann, A. Sánchez-Ferrer, and B. Zalar, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.94.197801 94, 197801 (2005).
41. G. Cordoyiannis, A. Lebar, B. Zalar, S. Žumer, H. Finkelmann, and Z. Kutnjak, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.99.197801 99, 197801 (2007).
42. N. Uchida, Phys. Rev. E 1063-651X 10.1103/PhysRevE.60.R13 60, R13 (1999).