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 (2017) Accepted paper 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), and they…

Precauciones acerca del uso del elemento beam en simulaciones por el método del elemento finito

(The following document is an unpublished article.) A. Ortiz-Bernardin Resumen En este artículo se presenta la resolución numérica mediante el método del elemento finito de dos problemas de mecánica estructural, con los que se pretende precaver al diseñador de estructuras de las problemáticas que podrían resultar de modelaciones basadas en el elemento finito tipo beam, perjudicando…

A novel impact identification algorithm based on a linear approximation with maximum entropy

Smart Materials and Structures Volume 25, Issue 9, 24 August 2016, Pages 095050 N. Sanchez, V. Meruane, A. Ortiz-Bernardin Abstract This article presents a novel impact identification algorithm that uses a linear approximation handled by a statistical inference model based on the maximum-entropy principle, termed linear approximation with maximum entropy (LME). Unlike other regression algorithms…

Linear smoothed polygonal and polyhedral finite elements

International Journal for Numerical Methods in Engineering (2016) doi: 10.1002/nme.5324 A. Francis, A. Ortiz-Bernardin, SPA. Bordas, S. Natarajan Abstract It was observed in [1, 2] that the strain smoothing technique over higher order elements and arbitrary polytopes yields less accurate solutions than other techniques such as the conventional polygonal finite element method. In this work,…

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

Acta Mechanica Volume 227, Issue 2, 2016, pp 601-615 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 the finite…

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