Statistical models of elasticity in main chain and smectic liquid ...

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138 BIBLIOGRAPHY[13] S. Courty, A. R. Tajbakhsh, and E. M. Terentjev. Stereo-selectiveswelling of imprinted cholesteric networks. Phys. Rev. Lett., 91:085503,2003.[14] X. Xing, S. Mukhopadhyay, P. M. Goldbart, and A. Zippelius. Fromvulcanization to isotropic and nematic rubber elasticity. 2005.[15] R. T. Deam and S. F. Edwards. The theory of rubber elasticity. Phil.Trans. R. Soc. A, 280:317, 1976.[16] S. V. Fridrikh and E. M. Terentjev. Order-disorder transition in anexternal field in random ferromagnets and nematic elastomers. Phys.Rev. Lett., 79:4661, 1997.[17] S. V. Fridrikh and E. M. Terentjev. Polydomain-monodomain transtionin nematic elastomers. Phys. Rev. E, 60:1847, 1999.[18] N. Uchida. Elastic effects in disordered nematic networks. Phys. Rev.E, 60:R13, 1999.[19] N. Uchida. Soft and nonsoft structural transitions in disordered nematicnetworks. Phys. Rev. E, 62:5119, 2000.[20] E. M. Terentjev. Liquid-crystalline elastomers. J. Phys.:Condens.Matter, 11:R239, 1999.[21] D. K. Shenoy, D. L. Thomsen III, A. Srinivasan, P. Keller, and B. R.Ratna. Carbon coated liquid crystal elastomer film for artificial muscleapplications. Sensors and Actuators A, 96:184, 2002.[22] J. Naciri, A. Srinivasan, H. Jeon, N. Nikolov, P. Keller, and B. R. Ratna.Nematic elastomer fiber actuator. Macromolecules, 36:8499, 2003.[23] M. Warner, J. M. F. Gunn, and A. B. Baumgärtner. Rod to coil transitionsin nematic polymers. J. Phys. A: Math. Gen., 18:3007, 1985.[24] D. R. M. Williams and M. Warner. Statics and dynamics of hairpins inworm-like main chain nematic polymer liquid crystals. J. Phys. France,51:317, 1990.[25] J.F.D’Allest, P.Maïssa, A.tenBosch, P.Sixou, A.Blumstein, R.Blumstein,J. Teixeira, and L. Noirez. Experimental evidence of chain extensionat the transition temperatture of a nematic polymer. Phys. Rev.Lett., 61:2562, 1988.[26] M. H. Li, A. Brûlet, P. Davidson, P. Keller, and J. P. Cotton. Observationof hairpin defects in a nematic main-chain polyester. Phys. Rev.Lett., 70:2297, 1993.
139[27] J-.C. Meiners and S. R. Quake. Femtonewton force spectroscopy ofsingle extended dna molecules. Phys. Rev. Lett., 84:5014, 2000.[28] A. Dhar and D. Chaudhuri. Triple minima in the free energy of semiflexiblepolymers. Phys. Rev. Lett., 89:065502, 2002.[29] B. Donnio, H. Wermter, and H. Finkelmann. A simple and verstailesynthetic route for the preparation of main-chain, liquid-crystalline elastomers.Macromolecules, 33:7724, 2000.[30] H. Wermter and H. Finkelmann. Liquid crystalline elastomers as artificialmuscles. e-Polymers, 013:1, 2001.[31] S. M. Clarke, A. Hotta, A. R. Tajbakhsh, and E. M. Terentjev. Effect ofcross-linker geometry on equilibrium thermal and mechanical propertiesof nematic elastomers. Phys. Rev. E, 64:061702, 2001.[32] M. Warner, P. Bladon, and E. M. Terentjev. “Soft elasticity” - deformationwithout resistance in liquid crystal elastomers. J. Phys. II France,4:93, 1994.[33] P. G. de Gennes. Mechanical properties of nematic polymers. InA. Ciferri, W. R. Krigbaum, and R. B. Meyer, editors, Polymer LiquidCrystals. Academic Press, Inc. New York, 1982.[34] M. Warner and X. J. Wang. Discrete and continuum models of nematicpolymers. J. Phys. A:Math Gen., 25:2831, 1992.[35] J. M. F. Gunn and M. Warner. Giant dielectric response and hairpinsin polymeric nematics. Phys. Rev. Lett., 58:393, 1987.[36] C. M. Bender and S. A. Orszag. Advanced Mathematical methods forScientists and Engineers. Springer, 1978.[37] B. D. Hughes. Random walks and random environments. Oxford:Clarendon, 1995.[38] N. Goldenfeld. Lectures on Phase Transitions and the RenormalizationGroup. Frontiers in Physics, 1992.[39] F. Elias, S. M. Clarke, R. Peck, and E. M. Terentjev. Equilibriumtextures in main-chain liquid crystalline polymers. Europhys. Lett., 47:442, 1999.[40] W. P. Mason. Piezoelectric Crystals and Their Application toUltrasonics. D. Van Nostrand Company, Inc., 1950.[41] R. B. Meyer. Piezoelectric effects in liquid crystals. Phys. Rev. Lett.,22:918, 1969.
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iStatistical models of elasticity i
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AcknowledgementsDuring the course o
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viiiCONTENTS5 Soft elasticity of sm
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2 CHAPTER 1. INTRODUCTION1.2 Neo-cl
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4 CHAPTER 1. INTRODUCTIONticular in
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Chapter TwoThe elasticity of hairpi
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2.1. INTRODUCTION 9Fig. 2.1. This b
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2.2. MODEL OF HAIRPIN CHAINS 11nFig
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2.2. MODEL OF HAIRPIN CHAINS 13za)
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2.2. MODEL OF HAIRPIN CHAINS 15in
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2.2. MODEL OF HAIRPIN CHAINS 17The
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2.2. MODEL OF HAIRPIN CHAINS 1910.8
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2.2. MODEL OF HAIRPIN CHAINS 21This
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2.2. MODEL OF HAIRPIN CHAINS 23f g
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2.3. NON-AFFINE DEFORMATION MODEL 2
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2.4. HAIRPIN CHAIN NETWORK FREE ENE
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2.4. HAIRPIN CHAIN NETWORK FREE ENE
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2.5. CONCLUSIONS 35to their limit
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2.A. GEOMETRY OF A HAIRPIN AT ZERO
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2.B. UNDULATING CHAIN STATISTICS 39
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2.C. COUNTING CONFIGURATIONS BY IND
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2.C. COUNTING CONFIGURATIONS BY IND
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2.D. INTERPRETATION OF FN 452.D Int
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2.E. SPRING CONSTANT OF AN EXTENDED
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50 CHAPTER 3. POLARISATION OF CHIRA
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Chapter FourThe elasticity of smect
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4.1. INTRODUCTION 83wherer 12 is th
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4.1. INTRODUCTION 85HzyxGlobal rota
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Page 99 and 100: 4.1. INTRODUCTION 89−D 2[(v (a)xz
Page 101 and 102: 4.2. MICROSCOPIC, FINITE DEFORMATIO
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Page 123 and 124: 4.4. COMPARISON WITH EXPERIMENT 113
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Page 127: 4.5. CONCLUSIONS 117formation in th
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Page 147: Bibliography[1] P. J. Flory. Statis
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Page 153 and 154: 143[86] L. Golubovic and T. C. Lube
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