Examinando por Autor "Valencia C."
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Ítem Finite element modeling of micropolar-based phononic crystals(Elsevier BV, 2019-11-11) Guarín-Zapata N.; Gomez J.; Valencia C.; Dargush G.F.; Hadjesfandiari A.R.; Mecánica AplicadaThe performance of a Cosserat/micropolar solid as a numerical vehicle to represent dispersive media is explored. The study is conducted using the finite element method with emphasis on Hermiticity, positive definiteness, principle of virtual work and Bloch–Floquet boundary conditions. The periodic boundary conditions are given for both translational and rotational degrees of freedom and for the associated force- and couple-traction vectors. Results in terms of band structures for different material cells and mechanical parameters are provided. © 2019 Elsevier B.V.Ítem A General-Purpose Element-Based Approach to Compute Dispersion Relations in Periodic Materials with Existing Finite Element Codes(World Scientific Publishing Co. Pte Ltd, 2019-01-01) Valencia C.; Gomez J.; Guarín-Zapata N.; Mecánica AplicadaThe numerical determination of dispersion relations in periodic materials via the finite element method is a difficult task in most standard codes. Here, we propose a novel technique which allows the computation of these band structures from local elemental subroutines in contrast with existing methods which impose Bloch boundary conditions on the global arrays. The proposed local approach is thus readily applicable to several physical contexts and space dimensionalities. Here we present the details of this element-based algorithm and provide verification results for three different kinematic assumptions applied to phononic crystals in a classical and a micropolar elastic medium. The paper also includes in the form of supplementary material, a fully-coded user subroutine and a test-problem to be used in a commercial finite element code. © 2019 IMACS.