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Accepted Paper: A novel nonlinear constitutive model for rock: numerical assessment and benchmarking

  • August 29, 2020
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Paper Accepted for Publication in Applications in Engineering Science R. Bustamante, S. Montero, A. Ortiz-Bernardin, “A novel nonlinear constitutive model for rock: numerical assessment and benchmarking” ABSTRACT In this article, we assess and benchmark a novel nonlinear constitutive relation for modeling the behavior of rock, in which the linearized strain tensor is a function of

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Paper Published in the ICCS 2020: Convex polygon packing based meshing algorithm for modeling of rock and porous media

  • June 30, 2020
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Paper Accepted for Publication in ICCS 2020: Computational Science – ICCS 2020 J. Torres, N. Hitschfeld, R. O. Ruiz and A. Ortiz-Bernardin, “Convex Polygon Packing Based Meshing Algorithm for Modeling of Rock and Porous Media.” ABSTRACT In this work, we propose new packing algorithm designed for the generation of polygon meshes to be used for modeling

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A maximum entropy supervised learning algorithm for the identification of skin/core debonding in honeycomb aluminium panels

  • April 11, 2020
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The Twelfth International Conference on Computational Structures Technology (CST2014) 2 – 5 September 2014, Naples, Italy Proceedings of CST2014 Civil-Comp Press, Stirlingshire, UK, Paper 120, 2014 V. Meruane, V. del Fierro and A. Ortiz-Bernardin Abstract Honeycomb sandwich structures are used in a wide variety of applications. Nevertheless, due to manufacturing defects or impact loads, these

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A Meshfree Nodal Integration Method for Elastic and Elastoplastic Applications Using The Virtual Element Decomposition

  • December 23, 2019
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A talk given by A. Ortiz-Bernardin at COMPLAS 2019, September 3, 2019, Barcelona, Spain. A MESHFREE NODAL INTEGRATION METHOD FOR ELASTIC AND ELASTOPLASTIC APPLICATIONS USING THE VIRTUAL ELEMENT DECOMPOSITION A. ORTIZ-BERNARDIN a, E. ARTIOLI b, AND R. SILVA-VALENZUELA a Abstract. In meshfree Galerkin methods to solve partial differential equations, a cloud of nodes is used

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Sample of two-dimensional nodal cells used in nodal integration

Accepted Paper: A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

  • December 18, 2019
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Paper Accepted for Publication in International Journal for Numerical Methods in Engineering R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli,  N. Hitschfeld-Kahler, “A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition” ABSTRACT In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical

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Sample of two-dimensional nodal cells used in nodal integration

A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

  • December 18, 2019
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International Journal for Numerical Methods in Engineering Vol. 121, No. 10, pp. 2174-2205, 2020 R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli,  N. Hitschfeld-Kahler Abstract In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis

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Accepted Paper: A MINI element over star convex polytopes

  • December 10, 2019
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Paper Accepted for Publication in Finite Elements in Analysis and Design Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan Natarajan, “A MINI element over star convex polytopes” ABSTRACT In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal

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A MINI element over star convex polytopes

  • December 10, 2019
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Finite Elements in Analysis and Design Vol. 172, pp. 103368, 2020 A. Francis, A. Ortiz-Bernardin, S. P. A. Bordas, S. Natarajan Abstract In this paper, we extend the concept of MINI element over triangles to star convex arbitrary polytopes. This is achieved by employing the volume averaged nodal projection (VANP) method over polytopes in combination

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