19 citations · 28 across the 8 of their papers we have counts for
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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…
math-ph2015
A Justification of the Timoshenko Beam Model through -Convergence
Lior Falach, Roberto Paroni, Paolo Podio-Guidugli
We validate the Timoshenko beam model as an approximation of the linear-elasticity model of a three-dimensional beam-like body. Our validation is achieved within the framework of $…