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Computational Mechanics
Erschienen in: Computational Mechanics 5/2020

31.01.2020 | Original Paper

An enriched finite volume formulation for the simulation of ductile material failure under shock loading

verfasst von: Marie Gorecki, Guillaume Peillex, Laurianne Pillon, Nicolas Moës

Erschienen in: Computational Mechanics | Ausgabe 5/2020

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Abstract

A method is proposed to model failure under shock loading. Finite Volume schemes are known to be efficient to take into account the density variations in the shock regions. The proposed method, called eXtended Finite Volume (XFV), is able to model failure in a finite volume framework. The material degradation is modeled using a cohesive zone model to dissipate the amount of energy required to create new surfaces. The XFV method allows to locate the cohesive surface inside elements and to introduce a displacement jump inside the cracked cells without remeshing, in an explicit dynamics finite volume framework. Attention is paid to the mass lumping and scheme stability. The XFV method is validated to simulate a plate impact experiment. It shows the ability to reproduce spall patterns and free surface velocities. However, numerical stability issues still need to be fixed before being able to compare the simulation with experimental data.
Vorheriger Artikel Non-localised contact between beams with circular and elliptical cross-sections
Nächster Artikel Application of PDS–FEM to simulate dynamic crack propagation and supershear rupture

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Fußnoten
1
\(\sigma _{N0}\) depictes the cohesive traction projected on the cohesive surface, as a force per unit surface.
 
2
Cases A and E are limit cases respectively approaching a linear cohesive law and a Dugdale model. However, in the implementation of the cohesive model in Hesione code, it is not possible to choose \(\delta _1 = 0 \) or \(\delta _1 = \delta _{Nc}\). These values have therefore been approximated to get \(\delta _1 \approx 0 \) and \( \delta _1 \approx \delta _{Nc} \).
 
3
Once again, cases A and E are limit cases corresponding respectively to a linear cohesive law and a Dugdale model.
 
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Metadaten
Titel
An enriched finite volume formulation for the simulation of ductile material failure under shock loading
verfasst von
Marie Gorecki
Guillaume Peillex
Laurianne Pillon
Nicolas Moës
Publikationsdatum
31.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2020
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-020-01818-0

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