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

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…

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

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…

Accepted Paper: A MINI element over star convex polytopes

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…


PublicationsLatest Publications

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

International Journal for Numerical Methods in Engineering Accepted Manuscript. 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 functions for the discretization of…

A MINI element over star convex polytopes

Finite Elements in Analysis and Design Accepted Manuscript. Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan 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 with the strain…

Impact identification using nonlinear dimensionality reduction and supervised learning

Smart Materials and Structures Volume 28, Issue 11, 1 October 2019, Pages 115005 V. Meruane, C. Espinoza, E. Lopez Droguett, A. Ortiz-Bernardin Abstract Real-time monitoring systems that can automatically locate and identify impacts as they occur have become increasingly attractive for ensuring safety and preventing catastrophic accidents in aerospace structures. In most cases, a set…