Fast Fourier Transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise disordered porous media

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dc.creatorWillot, Francois
dc.creatorPellegrini, Yves-Patrick
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:41:12Z
dc.date.available2026-07-07T09:41:12Z
dc.descriptionStress and strain fields in a two-dimensional pixelwise disordered system are computed by a Fast Fourier Transform method. The system, a model for a ductile damaged medium, consists of an elastic-perfectly matrix containing void pixels. Its behavior is investigated under equibiaxial or shear loading. We monitor the evolution with loading of plastically deformed zones, and we exhibit a nucleation / growth / coalescence scenario of the latter. Identification of plastic ``clusters'' is eased by using a discrete Green function implementing equilibrium and continuity at the level of one pixel. Observed morphological regimes are put into correspondence with some features of the macroscopic stress / strain curves.
dc.description6 pages, 5 figures. Presented at the "11th International Symposium On Continuum Models and Discrete Systems (CMDS 11)" (Ecole des Mines, Paris, July 30- August 3 2007)
dc.identifierhttps://arxiv.org/abs/0802.2488
dc.identifierhttp://arxiv.org/abs/0802.2488
dc.identifierin D. Jeulin, S. Forest (eds), "Continuum Models and Discrete Systems CMDS 11", (Ecole des Mines, Paris, 2008), pp. 443-449. [ISBN: 978-2-356-71000-0]
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161746
dc.subjectMaterials Science
dc.subjectDisordered Systems and Neural Networks
dc.titleFast Fourier Transform computations and build-up of plastic deformation in 2D, elastic-perfectly plastic, pixelwise disordered porous media
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