1Ball, J. M.. Minimizers and the Euler-Lagrange equations. In Trends and applications of pure mathematics to mechanics (Palaiseau, 1983), volume 195 of Lecture Notes in Phys., pp. 1–4 (Berlin: Springer, 1984).
2Ball, J. M.. Some open problems in elasticity. In Geometry, mechanics, and dynamics pp. 3–59 (New York: Springer, 2002).
3Bernoulli, J.. Quadratura curvae, e cujus evolutione describitur inflexae laminae curvatura. In Die Werke von Jakob Bernoulli pp. 223–227 (Birkhäuser, 1692). Med. CLXX; Ref. UB: L Ia 3, pp. 211–212.
4Braides, A., Fonseca, I. and Francfort, G.. 3D-2D asymptotic analysis for inhomogeneous thin films. Indiana Univ. Math. J. 49 (2000), 1367–1404.
5Bukal, M., Pawelczyk, M., Velčić, I.. Derivation of homogenized Euler–Lagrange equations for von Kármán rods. J. Diff. Equ. 262 (2017), 5565–5605.
6Davoli, E. and Mora, M. G.. Convergence of equilibria of thin elastic rods under physical growth conditions for the energy density. Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), 501–524.
7Euler, L.. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti, chapter Additamentum 1. eulerarchive.org E065, 1744.
8Friesecke, G., James, R. D. and Müller, S.. A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity. Comm. Pure Appl. Math. 55 (2002), 1461–1506.
9Friesecke, G., James, R. D. and Müller, S.. A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence. Arch. Ration. Mech. Anal. 180 (2006), 183–236.
10Griso, G.. Asymptotic behavior of structures made of curved rods. Anal. Appl. (Singap.) 6 (2008a), 11–22.
11Griso, G.. Decompositions of displacements of thin structures. J. Math. Pures Appl. (9) 89 (2008b), 199–223.
12Le Dret, H. and Raoult, A.. The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity. J. Math. Pures Appl. (9) 74 (1995), 549–578.
13Levien, R.. The elastica: a mathematical history. Technical Report UCB/EECS- 2008-103, EECS Department, University of California, Berkeley, Aug 2008.
14Marohnić, M. and Velčić, I.. Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity. Ann. Mat. Pura Appl. (4) 195 (2016), 1055–1079.
15Mora, M.G., Müller, S.. Derivation of the nonlinear bending-torsion theory for inextensible rods by Γ-convergence. Calc. Var. Partial Diff. Equ. 18 (2003), 287–305.
16Mora, M. G. and Müller, S.. Convergence of equilibria of three-dimensional thin elastic beams. Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008), 873–896.
17Mora, M. G., Müller, S. and Schultz, M. G.. Convergence of equilibria of planar thin elastic beams. Indiana Univ. Math. J., 56 (2007), 2413–2438.
18Neukamm, S.. Homogenization, linearization and dimension reduction in elasticity with variational methods. PhD thesis, Technische Universität München, 2010.
19Pawelczyk, M.. Convergence of equilibria for simultaneous dimension reduction and homogenization. PhD thesis, Technische Universtität Dresden, 2018. Unpublished thesis.
20Velčić, I.. On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity. Anal. Appl. (Singap.), 15 (2017), 1–49.