[1] Liang H Y, Mahadevan L. Growth, geometry, and mechanics of a blooming lily[J]. Proceedings of the National Academy of Sciences, 2011, 108(14): 5 516-5 521. [2] Sharon E, Efrati E. The mechanics of non-Euclidean plates[J]. Soft Matter, 2010, 6(22): 5 693-5 704. [3] Klein Y, Venkataramani S, Sharon E. Experimental study of shape transitions and energy scaling in thin non-Euclidean plates[J]. Physical Review Letters, 2011, 106(11): 118303. [4] Efrati E, Sharon E, Kupferman R. Non-Euclidean plates and shells[EB/OL].[2015-01-01] http://math.huji.ac.il/~razk/Publications/PDF/ESK09b.pdf. [5] Kim J, Hanna J A, Byun M, et al. Designing responsive buckled surfaces by halftone gel lithography[J]. Science, 2012, 335(6 073): 1 201-1 205. [6] Byun M, Santangelo C D, Hayward R C. Swelling-driven rolling and anisotropic expansion of striped gel sheets[J]. Soft Matter, 2013,9:8 264-8 273. [7] Kirchhoff G. ber das Gleichgewicht und die Bewegung einer elastischen Scheibe[J]. Journal für die reine und angewandte Mathematik, 1850, 40: 51-88. [8] Truesdell C. The Mechanical Foundations of Elasticity and Fluid Dynamics[M]. New York: Gordon & Breach Science Pub, 1966. [9] Oneill B. Elementary Differential Geometry[M]. New York: Academic Press, 1966. [10] Spivak M. A Comprehensive Introduction to Differential Geometry, Volume Ⅰ[M]. Berkeley: Publish or Perish, 1979. [11] Efrati E, Sharon E, Kupferman R. Buckling transition and boundary layer in non-Euclidean plates[J]. Physical Review E, 2009, 80(1): 016602. [12] Li J, Liu M, Xu W, et al. Boundary-dominant flower blooming simulation[J]. Computer Animation and Virtual Worlds, 2015, 26: 433-443. |