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Título:	The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics
Autor/a:	Askes, Harm; Rodríguez Ferran, Antonio; Hetherington, Jack
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Abstract:	In this paper, the effects of element shape on the critical time step are investigated. The common rule-of-thumb, used in practice, is that the critical time step is set by the shortest distance within an element divided by the dilatational (compressive) wave speed, with a modest safety factor. For regularly shaped elements, many analytical solutions for the critical time step are available, but this paper focusses on distorted element shapes. The main purpose is to verify whether element distortion adversely affects the critical time step or not. Two types of element distortion will be considered, namely aspect ratio distortion and angular distortion, and two particular elements will be studied: four-noded bilinear quadrilaterals and three-noded linear triangles. The maximum eigenfrequencies of the distorted elements are determined and compared to those of the corresponding undistorted elements. The critical time steps obtained from single element calculations are also compared to those from calculations based on finite element patches with multiple elements. Copyright (c) 2014 John Wiley & Sons, Ltd.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Strength of materials -Elasticity -explicit time integration -critical time step -eigenfrequency -element distortion -element aspect ratio -DOMAIN COMPUTATIONAL DYNAMICS -BIPENALTY METHOD -SHEET-METAL -SIMULATION -STABILITY -Resistència de materials -Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
Derechos:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
Editor:	John Wiley & Sons
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