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• W2734854926 abstract "This paper presents recent results obtained by the Lattice Discrete Particle Model (LDPM) for the simulation of concrete and fiber reinforced concrete behavior. LDPM is a meso-scale model which has been recently formulated at Rensselaer Polytechnic Institute and extensively validated against experimental data. LDPM can accurately predict several phenomena characterizing concrete behavior, including failure under uniaxial, biaxial, and triaxial compression; material compaction under hydrostatic compression; and tensile fracturing. 1 THE LATTICE DISCRETE PARTICLEMODEL Since the mid-1980s, many meso-scale models for concrete have appeared in the literature. The main advantage of these models over classic constitutive models for concrete is their ability to simulate material heterogeneity and its effect on damage evolution and fracture. Noteworthy examples of mesoscale models are the ones published in Roelfstra et al. (1985), Wittmann et al. (1988), Bažant et al. (1990), Schlangen & Van Mier (1992), Carol et al. (2001), Lilliu & Van Mier (2003), Cusatis et al. (2003a), Cusatis et al. (2003b), Cusatis et al. (2006a), Cusatis & Cedolin (2006b), Yip et al. (2006). This paper presents and discusses recent results obtained at Rensselaer Polytechnic Institute by the Lattice Discrete Particle Model (LDPM). LDPM simulates concrete mesostructure by taking into account only the coarse aggregate pieces, typically with characteristic size greater than 5 mm. The mesostructure is constructed through the following steps. 1) The coarse aggregate pieces, whose shapes are assumed to be spherical, are introduced into the concrete volume by a try-and-reject random procedure. 2) Zero-radius aggregate pieces (nodes) are randomly distributed over the external surfaces. 3) A three-dimensional domain tessellation, based on the Delaunay tetrahedralization of the generated aggregate centers, creates a system of cells interacting through triangular facets, which can be represented in a two-dimensional sketch by straight line segments (Fig. 1). A vectorial constitutive law governing the behavior of the model is imposed at the centroid of the projection of each single facet (contact point) onto a plane orthogonal to the straight line connecting the particle centers (edges of the tetrahedralization). The projections are used inFigure 1: a) Meso-structure tessellation. b) Threedimensional discrete particle. c) Definition of nodal degrees of freedom and contact facets in two-dimension. stead of the facets themselves to ensure that the shear interaction between adjacent particles does not depend on the shear orientation. The straight lines connecting the contact points with the particle centers define the lattice system. Rigid body kinematics describes the displacement field along the lattice struts and the displacement jump, uC , at the contact point. The strain vector is defined as the displacement jump at the contact point divided by the inter-particle distance, L. The components of the strain vector in a local system of reference, characterized by the unit vectors n, l, and m, are the normal and shear strains: The Lattice Discrete Particle Model (LDPM) for the Simulation of Uniaxial and Multiaxial Behavior of Concrete: Recent Results. G. Cusatis & A. Mencarelli Rensselaer Polytechnic Institute, Troy (NY), USA D. Pelessone ES3, Solana Beach (CA), USA J.T. Baylot Engineer Research and Development Center, Vicksburg (MS), USA Fracture Mechanics of Concrete and Concrete Structures Recent Advances in Fracture Mechanics of Concrete B. H. Oh, et al.(eds) c 2010 Korea Concrete Institute, Seoul, ISBN 978-89-5708-180-8" @default.
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• W2734854926 date "2010-01-01" @default.
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• W2734854926 title "The Lattice Discrete Particle Model (LDPM) for the simulation of Uniaxial and Multiaxial Behavior of Concrete: Recent Results" @default.
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