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Accepted Paper: A volume-averaged nodal projection method for the Reissner-Mindlin plate model

  • July 31, 2018
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Paper Accepted for Publication in Computer Methods in Applied Mechanics and Engineering A. Ortiz-Bernardin, Philip Köbrich, Jack S. Hale, Edgardo Olate-Sanzana, Stéphane P. A. Bordas, Sundararajan Natarajan, “A volume-averaged nodal projection method for the Reissner-Mindlin plate model.” ABSTRACT We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in

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Robust Meshfree Methods for Solid Mechanics Simulations

  • June 25, 2015
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A talk given by A. Ortiz-Bernardin at the Encuentro de Elasticidad No Lineal, Homogenización y Fractura, June 23 – 24, 2015, Santiago, Chile. Robust Meshfree Methods for Solid Mechanics Simulations Alejandro Ortiz-Bernardin Department of Mechanical Engineering Universidad de Chile Av. Beauchef 851, Santiago, 8370456, Chile aortizb@ing.uchile.cl https://camlab.cl/people/camlab/alejandro/ ABSTRACT In this talk, I will present recent developments in meshfree

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Paper Accepted: Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations

  • May 9, 2015
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Paper Accepted for Publication in Computer Methods in Applied Mechanics and Engineering A. Ortiz-Bernardin, M.A. Puso, N. Sukumar, “Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations.” ABSTRACT A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay

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Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations

  • May 9, 2015
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Computer Methods in Applied Mechanics and Engineering Vol. 293, pp. 348 – 374, 2015 A. Ortiz-Bernardin,  M.A. Puso and N. Sukumar Abstract A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay tessellation (three-node triangles and four-node tetrahedra), which is used to

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Paper Submitted: Meshfree Volume-Averaged Nodal Projection Method for Nearly-Incompressible Elasticity

  • May 13, 2014
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A. Ortiz-Bernardin, J.S. Hale, C. J. Cyron, “Meshfree volume-averaged nodal projection method for nearly-incompressible elasticity,” submitted. ABSTRACT We present a displacement-based Galerkin meshfree method for the analysis of nearly-incompressible linear elastic solids, where low-order simplicial tessellations (i.e., 3-node triangular or 4-node tetrahedral meshes) are used as a background structure for numerical integration of the weak

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Maximum-entropy meshfree method for incompressible media problems

  • November 25, 2013
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Finite Elements in Analysis and Design Vol. 47, No. 6, pp. 572-585, 2011 A. Ortiz , M.A. Puso, N. Sukumar Abstract A novel maximum-entropy meshfree method that we recently introduced in Ortiz et al. (2010) [1] is extended to Stokes flow in two dimensions and to three-dimensional incompressible linear elasticity. The numerical procedure is aimed

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Development and Assessment of An Efficient Numerical Method for Simulation of Nearly Incompressible Large Deformations Problems in Solid Mechanics

  • September 18, 2013
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Principal Investigator: Alejandro Ortiz-Bernardin. In the era of simulation-based design, robust simulation tools are needed to efficiently analyze and accurately predict the performance of solids and structures for loadings and materials with large deformation response. Applications such as metal forming processes, kinematic response of soft biological tissues, earth moving and deep penetration in geotechnical/offshore engineering, and

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