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math.AP2016
A variational model for anisotropic and naturally twisted ribbons
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
We consider thin plates whose energy density is a quadratic function of the difference between the second fundamental form of the deformed configuration and a "natural" curvature t…
math.AP2015
Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers
Roberto Paroni, Ali Sili
We first consider an elastic thin heterogeneous cylinder of radius of order epsilon: the interior of the cylinder is occupied by a stiff material (fiber) that is surrounded by a so…