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Paper Accepted: A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies

  • September 22, 2015
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Paper Accepted for Publication in Acta Mechanica S. Montero, R. Bustamante, A. Ortiz-Bernardin, “A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies.” ABSTRACT Recently, there has been interest in the study of a new class of constitutive relation, wherein the linearized strain tensor is assumed

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A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies

  • September 22, 2015
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Acta Mechanica Vol. 227, No. 2, pp. 601-615, 2016 S. Montero, R. Bustamante, A. Ortiz-Bernardin Abstract Recently, there has been interest in the study of a new class of constitutive relation, wherein the linearized strain tensor is assumed to be a function of the stresses. In this communication, some boundary value problems are solved using

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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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Maximum-Entropy Meshfree Method for Linear and Nonlinear Elasticity

  • May 19, 2015
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Doctoral Dissertation By Alejandro A. Ortiz Office of Graduate Studies, University of California, Davis, California March 2011 ABSTRACT A Galerkin-based maximum-entropy meshfree method for linear and nonlinear elastic media is developed. The standard displacement-based Galerkin formulation is used to model compressible linear elastic solids, whereas the classical u-p mixed formulation for near-incompressible linear elastic media

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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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Consistent, Accurate, and Stable Meshfree Galerkin Methods Based on The Virtual Element Decomposition

  • May 9, 2015
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A talk given by A. Ortiz-Bernardin at the 1st Pan-American Congress on Computational Mechanics, April 27 – 29, 20145, Buenos Aires, Argentina. Consistent, Accurate, and Stable Meshfree Galerkin Methods Based on The Virtual Element Decomposition   Alejandro Ortiz-Bernardin*, Alessandro Russo†, Natarajan Sukumar‡ * Department of Mechanical Engineering, University of Chile Av. Beauchef 850, Santiago, 8370448, Chile

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Faculty Position in Manufacturing Engineering

  • April 13, 2015
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The Department of Mechanical Engineering (www.dimec.uchile.cl) at University of Chile invites applications for a full time tenure-track faculty position in Mechanical Engineering. Applicants must have deep interest in undergraduate and graduate teaching, as well as the purpose to conduct long-term, externally funded research programs at international level. Candidates are also expected to maintain fruitful work

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Structural damage assessment using linear approximation with maximum entropy and transmissibility data

  • April 13, 2015
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Mechanical Systems and Signal Processing Vol. 54-55, pp. 210-223, 2015 V. Meruane, A. Ortiz-Bernardin Abstract Supervised learning algorithms have been proposed as a suitable alternative to model updating methods in structural damage assessment, being Artificial Neural Networks the most frequently used. Notwithstanding, the slow learning speed and the large number of parameters that need to

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A finite element formulation for stressed bodies with continuous distribution of edge dislocations

  • April 13, 2015
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Acta Mechanica Vol. 226, No. 5, pp. 1621-1640, 2015 A. Ortiz-Bernardin and D. Sfyris Abstract On using Noll’s theory of materially uniform but inhomogeneous bodies, a nonlinear finite element method for treating a body with a continuous distribution of edge dislocations is presented. To this end, we use the multiplicative decomposition of the deformation gradient, which is herein

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