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... the use of the approximate theory that results. In the context of standard nonlinear elasticity (see, e.g. Ciarlet (2000)) for thin plates and shells such rigorous derivations have been carried out (=-=Friesecke et al. 2006-=-; Lewicka et al. 2008, 2010; Lewicka & Pakzad 2009a). Further, in Lewicka & Pakzad (2009b) a version of the linearized Kirchhoff theory for plates (Kirchhoff 1850) with residual strain was rigorously ...

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...riants of thin plate theory to highlight the self-similar structures that form near the edge owing to variations in a prescribed intrinsic metric of a surface that is asymptotically flat at infinity (=-=Audoly & Boudaoud 2004-=-), and also on the case of a circular disc with edge-localized growth (Dervaux & Ben Amar 2008; Efrati et al. 2009), the shape of a long leaf (Liang & Mahadevan 2009), etc. However, the theories used ...