Citation: |
[1] |
E. Acerbi and N. Fusco, Semicontinuity problems in the calculus of variations, Arch. for Rat. Mech. and Anal., 86 (1984), 125-145.doi: 10.1007/BF00275731. |
[2] |
D. Anderson, D. Carlson and E. Fried, A continuum-mechanical theory for nematic elastomers, J. Elasticity, 56 (1999), 33-58.doi: 10.1023/A:1007647913363. |
[3] |
J. M. Ball and F. Murat, $W^{1,p}$-quasiconvexity and variational problems for multiple integrals, J. Functional Analysis, 58 (1984), 225-253.doi: 10.1016/0022-1236(84)90041-7. |
[4] |
P. Bladon, E. Terentjev and M. Warner, Transitions and Instabilities in liquid-crystal elastomers, Phys. Rev. E, (Rapid Comm.), 47 (1993), 3838. |
[5] |
P. Bladon, E. Terentjev and M. Warner, Soft elasticity- deformation without resistance in liquid crystal elastomers, Journal de Physique II, 4 (1993), 93-102. |
[6] |
P. Bladon, E. Terentjev and M. Warner, Deformation-induced orientational transitions in liquid crystal elastomer, J. Phys. II France, 4 (1994), 75-91. |
[7] |
M. C. Calderer and C. Luo, Numerical study of liquid crystal elastomers in a mixed finite element method, European J. Appl. Math, 23 (2012), 121-154.doi: 10.1017/S0956792511000313. |
[8] |
P. Cesana and A. DeSimone, Strain-order coupling in nematic elastomers: Equilibrium configurations, Math. Models Methods Appl. Sci., 19 (2009), 601-630.doi: 10.1142/S0218202509003541. |
[9] |
p. Cesana and A. DeSimone, Quasiconvex envelopes of energies for the nematic elastomers in the small strain regime and applications, J. Mech. Phys., 59 (2011), 787-803.doi: 10.1016/j.jmps.2011.01.007. |
[10] |
S. Conti, A. DeSimone and G. Dolzmann, Semisoft elasticity and director reorientation in stretched sheets of nematic elastomers, Physical Review E., 66 (2002), 061710. |
[11] |
S. Conti, A. DeSimone and G. Dolzmann, Soft elastic response of stretched sheets of nematic elastomers: A numerical study, Journal of Mechanics and Physics of Solids, 50 (2002), 1431-1451.doi: 10.1016/S0022-5096(01)00120-X. |
[12] |
A. DeSimone and G. Dolzmann, Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies, Arch. Rational Mech. Anal., 161 (2002), 181-204.doi: 10.1007/s002050100174. |
[13] |
A. DeSimone and G. Dolzmann, Material instabilities in nematic elastomers, Phys. D, 136 (2000), 175-191.doi: 10.1016/S0167-2789(99)00153-0. |
[14] |
A. DeSimone and G. Dolzmann, Stripe-domains in nematic elastomers: Old and new, in Modeling of Soft Matter, IMA Vol. Math. Appl., 141, Springer, New York, 2005, 189-203.doi: 10.1007/0-387-32153-5_8. |
[15] |
H. Finkelmann, I. Kundler, E. M. Terejtev and M. Warner, Critical Stripe-Domain Instability of Nematic Elastomers, J. Phys. II France, (1997), 1059-1069. |
[16] |
I. Kundler and H. Finkelmann, Strain-induced director reorientation in nematic liquid single crystal elastomers, Macromolecular Rapid Communications, 16 (1995), 679-686. |
[17] |
S. Müller, T. Qi and B. S. Yan, On a new class of elastic deformations not allowing for cavitation, Annales de l'I.H.P., Section C, 11 (1994), 217-243. |
[18] |
V. Sverak, Regularity properties of deformations with finite energy, Arch. Rat. Mech. Anal., 100 (1988), 105-127.doi: 10.1007/BF00282200. |
[19] |
Terentjev, M. Warner and G. C. Verwey, Non-uniform deformations in liquid crystal elastomers, J. Phys. II France, 6 (1996), 1049-1060. |
[20] |
M. Verwey, M. Warner and E. M. Terenjtev, Elastic instability and stripe domains in liquid crystalline elastomers, J. Phys. II France, 6 (1996), 1273-1290. |
[21] |
S. K. Vodopyanov and V. M. Goldstein, Quasiconformal mappings and spaces of functions with generalized first derivatives, Siberian math. J., 12 (1977), 515-531. |
[22] |
M. Warner and E. M. Terenjtev, Liquid Crystal Elastomers, Oxford University Press, 2003. |
[23] |
E. Zubarev, S. Kuptsov, T. Yuranova, R. Talroze and H. Finkelmann, Monodomain liquid crystalline networks: Reorientation mechanism from uniform to stripe domains, Liquid Crystals, 26 (1999), 1531-1540. |