Abstract
Shape recovery of a droplet of liquid crystalline polymer (LCP) hydroxypropylcellulose in a matrix of poly(dimethyl siloxane) subjected to a step shear strain has been studied via optical microscopy. Just after application of a large strain, the LCP droplet shape is flat ellipsoid, and then the droplet takes cylindrical shape and band texture perpendicular to the flow direction appears. The band texture fades away before emergence of poly-domain structure. In the final process with the shape of spheroid, poly-domain structure recovers very slowly. Except for the final process, the shape change is identical with that of isotropic droplet at strains smaller than 3, when the LCP viscosity in Region II is taken as an equivalent viscosity for normalization. For a 20:80 blend, the excess relaxation modulus is calculated based on the Doi-Ohta theory, taking account of the distribution of droplet size and compared with experimental modulus data.
Similar content being viewed by others
References
Almusallam AS, Larson RG, Solomon MJ (2000) J Rheol 44:1055–1083
Astruc M, Navard P (2000) J Rheol 44:693–712
Baek SG, Magda JJ, Larson RG, Hudson SD (1994) J Rheol 38:1473–1503
Batchelor GK (1970) J Fluid Mech 41:545–570
Bousmina M (1999) Rheol Acta 38:73–83
Burghardt WR, Fuller GG (1991) Macromolecules 24:2546–2555
Doi M (1981) J Polym Sci, Polym Phys Ed 19:229–243
Doi M, Ohta T (1991) J Chem Phys 95:1242–1248
Feng JJ, Sgalari G, Leal LG (2000) J Rheol 44:1085–1101
Grizzuti N, Cavella S, Cicarelli P (1990) J Rheol 34:1293–1310
Harrison P, Navard P (1999) Rheol Acta 38:569–593
Harrison P, Navard P, Cidade MT (1999) Rheol Acta 38:594–605
Hayashi R, Takahashi M, Yamane H (2000) Nihon Reoroji Gakkaishi (J. Soc. Rheol. Japan) 28:137–142. Downloadable from http://www.jstage.jst.go.jp/browse/rheology/28/3/_contents
Hayashi R, Takahashi M, Yamane H, Jinnai H, Watanabe H (2001a) Polymer 42:757–764
Hayashi R, Takahashi M, Kajihara T, Yamane Y (2001b) J Rheol 45:627–639
Hongladarom K, Burghardt WR (1998) Rheol Acta 37:46–53
Hongladarom K, Secakusuma V, Burghardt WR (1994) J Rheol 38:1505–1523
Jackson NE, Tucker III CL (2003) J Rheol 47:659–682
Kim KM, Cho H, Chung IJ (1994) J Rheol 38:1271–1283
Larson RG (1990) Macromolecules 23:3983–3992
Larson RG (1992) J Rheol 37:175–197
Larson RG, Doi M (1991) J Rheol 35:539–563
Larson RG, Mead DW (1989) J Rheol 33:1251–1281
Lizaso I, Munoz ME, Santamaria A (1999) Rheol Acta 38:108–116
Maffettone PL, Marrucci G (1992) J Rheol 36:1547–1561
Maffettone PL, Minale M (1998) J Non-Newton Fluid Mech 78:227–241
Marrucci G, Maffettone PL (1990a) J Rheol 34:1217–1230
Marrucci G, Maffettone PL (1990b) J Rheol 34:1231–1244
Marrucci G, Maffettone PL (1991) J Rheol 35:313 [original article in J Rheol 34:1217, 1231 (1990)]
Moldenaers P, Yanase H, Mewis J (1991) J Rheol 35:1681–1699
Okamoto K, Takahashi M, Yamane H, Kashihara H, Watanabe H, Masuda T (1999a) J Rheol 43:951–965
Okamoto K, Takahashi M, Yamane H, Watashiba H, Tsukahara Y, Masuda T (1999b) Nihon Reoroji Gakkaishi (J. Soc. Rheol. Japan) 27:109–115. Downloadable from http://www.jstage.jst.go.jp/browse/rheology/27/2/_contents
Onuki A (1987) Phys Rev A 35:5149–5155
Palierne JF (1990) Rheol Acta 29:204–214
Palierne JF (1991) Rheol Acta 30:497
Riise BL, Mikler N, Denn MM (1999) J Non-Newton Fluid Mech 86:3–14
Sgalari G, Leal LG, Meiburg E (2003) J Rheol 47:1417–1444
Smyth SF, Mackay ME (1994) J Rheol 38:1549–1558
Soskey PR, Winter HH (1984) J Rheol 28:625–645
Stone AH, Leal LG (1989) J Fluid Mech 198:399–427
Tao J, Feng JJ (2003) J Rheol 47:1051–1070
Vermant J, Moldenaers P, Mewis J (1994) J Rheol 38:1571–1589
Vermant J, Mortier M, Moldenaers P, Mewis J (1999) Rheol Acta 38:537–547
Viola GG, Baird DG (1986) J Rheol 30:601–628
Walker L, Wagner N (1994) J Rheol 38:1525–1547
Walker LM, Mortier M, Moldenaers P (1996) J Rheol 40:967–981
Walker LM, Vermant J, Moldenaers P, Mewis J (2000) Rheol Acta 39:26–37
Wetzel ED, Tucker III CL (2001) J Fluid Mech 426:199–228
Wissbrun KF (1981) J Rheol 25:619–662
Wu J, Mather PT (2005) Macromolecules 38:7343–7351
Yamane H, Takahashi M, Hayashi R, Okamoto K, Kashihara H, Masuda T (1998) J Rheol 42:567–580
Yu W, Bousmina M (2003) J Rheol 47:1011–1039
Yu R, Yu W, Zhou C, Feng JJ (2004) J Appl Polym Sci 94:1404–1410
Yu W, Bousmina M, Zhou C (2004a) Rheol Acta 43:342–349
Yu W, Bousmina M, Zhou C, Tucker III CL (2004b) J Rheol 48:417–438
Yu W, Wu Y, Yu R, Zhou C (2005a) Rheol Acta 45:105–115
Yu W, Zhou C, Bousmina M (2005b) J Rheol 49:215–236
Yue PT, Feng JJ, Liu C, Shen J (2004) J Fluid Mech 515:293–s317
Acknowledgment
This work was supported by a Grant-in-Aid for Scientific Research (B) No. 16350127 and No. 18350119 from the Japan Society for the Promotion of Science (JSPS) and by a Grant-in-Aid for JSPS Fellows No. 15-03299 from the Ministry of Education, Culture, Sports, Science and Technology, Japan.
Author information
Authors and Affiliations
Corresponding author
Additional information
Paulo H. P. Macaúbas is on leave from Department of Metallurgical and Materials Engineering, Escola Politécnica, São Paulo University, Av. Prof. Mello Moraes, 2463, CEP 05508-900, São Paulo-SP, Brazil.
Rights and permissions
About this article
Cite this article
Macaúbas, P.H.P., Kawamoto, H., Takahashi, M. et al. Shape and structure recovery of an LCP droplet under a large step strain: observation and stress calculation. Rheol Acta 46, 921–932 (2007). https://doi.org/10.1007/s00397-007-0175-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00397-007-0175-x