Veamy: an extensible object-oriented C++ library for the virtual element method

Numerical Algorithms In press. Alejandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana. Abstract This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have…

On the behaviour of spherical inclusions in a cylinder under tension loads

Ingenius Vol. 19, 2018, pp. 69-78 S. Montero, R. Bustamante, A. Ortiz-Bernardin Abstract In the present paper the behaviour of a hyperelastic body is studied, considering the presence of one, two and more spherical inclusions, under the effect of an external tension load. The inclusions are modelled as nonlinear elastic bodies that undergo small strains….

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

Computer Methods in Applied Mechanics and Engineering Volume 341, Issue 1, 2018, Pages 827-850 A. Ortiz-Bernardin, Philip Köbrich, Jack S. Hale, Edgardo Olate-Sanzana, Stéphane P. A. Bordas, Sundararajan Natarajan. Abstract We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e.,…

Modal strain energy-based debonding assessment of sandwich panels using a linear approximation with maximum entropy

Entropy 2017, 19(11), 619 V. Meruane, Matias Lasen, E. López Droguett, A. Ortiz-Bernardin Abstract Sandwich structures are very attractive due to their high strength at a minimum weight, and, therefore, there has been a rapid increase in their applications. Nevertheless, these structures may present imperfect bonding or debonding between the skins and core as a result…

Impact location and quantification on an aluminum sandwich panel using principal component analysis and linear approximation with maximum entropy

Entropy 2017, 19(4), 137 V. Meruane, P. Véliz, E. López Droguett, A. Ortiz-Bernardin Abstract To avoid structural failures it is of critical importance to detect, locate and quantify impact damage as soon as it occurs. This can be achieved by impact identification methodologies, which continuously monitor the structure, detecting, locating, and quantifying impacts as they occur….

Consistent and stable meshfree Galerkin methods using the virtual element decomposition

International Journal for Numerical Methods in Engineering Volume 112, Issue 7, 2017, pp 655-684 A. Ortiz-Bernardin, A. Russo, N. Sukumar Abstract Over the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree methods are smooth (nonpolynomial functions),…

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