Examinando por Autor "Osorno, María C."

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    Ítem
    Geometry simplification for modeling of porous materials
    (2015) Ruíz, Óscar E.; Cadavid, Esteban; Osorno, María C.; Uribe, David; Steeb, Holger; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAE
    Porous and lattice materials have become everpresent in applications such as medicine, aerospace, design, manufacturing, art, entertainment, robotics, material handling, etc -- However, their application is impeded by the uncertainty of their mechanical properties (elongation, torsion, compression moduli, etc.) -- Computational Mechanics of poorus materials is also hindered by the massive geometric data sets that they entail, if their full geometric representations are used -- In response to these limitations, this article presents a truss simplification of a porous material --This simplified representation is usable in computer simulations, instead of the full triangle- or freeform-based Boundary Representations (B-Rep), which produce intractable problems -- This article presents the simplification methodology, along with results of estimation of the stress - strain response of porous material (in this case, Aluminum) -- Our methodology presents itself as a possible alternative in contrast with impossible processing when full data is used -- Follow up work is needed in using the truss methodology for calculating macro-scaleequivalent Young or Poisson moduli, with applications on mechanical design
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    On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
    (Science Journal Publication, 2012-05-01) Carlos A. Cadavid; Osorno, María C.; Ruiz OE; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAE
    We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface of genus two
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    On the critical point structure of eigenfunctions belonging to the first nonzero eigenvalue of a genus two closed hyperbolic surface
    (2012-05-30) Cadavid, Carlos A.; Osorno, María C.; Ruíz, Óscar E.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAE
    We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold -- The method is applied to a closed hyperbolic surface of genus two -- The results obtained agree with the ones obtained by other authors by different methods, and they serve as experimental evidence supporting the conjectured fact that the generic eigenfunctions belonging to the first nonzero eigenvalue of a closed hyperbolic surface of arbitrary genus are Morse functions having the least possible total number of critical points among all Morse functions admitted by such manifolds
  • No hay miniatura disponible
    Ítem
    On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
    (Science Journal Publication, 2012-05-01) Carlos A. Cadavid; Osorno, María C.; Ruiz OE; Carlos A. Cadavid; Osorno, María C.; Ruiz OE; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface of genus two