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The effects of element shape on the critical time step in explicit time integrators for elasto-dynamics

Autor
Askes, H.; Rodriguez-Ferran, A.; Hetherington, J.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2015-03-16
Volum
101
Número
11
Pàgina inicial
809
Pàgina final
824
DOI
https://doi.org/10.1002/nme.4819 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/78105 Obrir en finestra nova
Resum
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 distor...
Citació
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.
Paraules clau
BIPENALTY METHOD, DOMAIN COMPUTATIONAL DYNAMICS, SHEET-METAL, SIMULATION, STABILITY, critical time step, eigenfrequency, element aspect ratio, element distortion, explicit time integration
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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