dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor
Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.contributor.author
Askes, Harm
dc.contributor.author
Rodríguez Ferran, Antonio
dc.contributor.author
Hetherington, Jack
dc.date.issued
2015-03-16
dc.identifier
Askes, H., Rodriguez-Ferran, A., Hetherington, J. The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics. "International journal for numerical methods in engineering", 16 Març 2015, vol. 101, núm. 11, p. 809-824.
dc.identifier
https://hdl.handle.net/2117/78105
dc.identifier
10.1002/nme.4819
dc.description.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.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author’s final draft)
dc.format
application/pdf
dc.publisher
John Wiley & Sons
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject
Strength of materials
dc.subject
explicit time integration
dc.subject
critical time step
dc.subject
eigenfrequency
dc.subject
element distortion
dc.subject
element aspect ratio
dc.subject
DOMAIN COMPUTATIONAL DYNAMICS
dc.subject
BIPENALTY METHOD
dc.subject
Resistència de materials
dc.subject
Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.title
The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics
