A Variational Multiscale Method to Model Crack Propagation at Finite Strains

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autor(en): Mergheim J
Zeitschrift: International Journal For Numerical Methods in Engineering
Verlag: Wiley-Blackwell
Jahr der Veröffentlichung: 2009
Band: 80
Heftnummer: 3
Seitenbereich: 269-289
ISSN: 0029-5981


Abstract


This contribution presents a hierarchical variational multiscale framework to model propagating discontinuities at finite strains. Thereby the deformation map is decomposed into coarse-scale and fine-scale displacements, which results in a decoupled system of coarse-scale and fine-scale equations. Both are solved numerically by means of the finite element method whereby crack propagation is taken into account at the fine scale. Growing cracks are numerically handled by the introduction of discontinuous elements. A locality assumption on the fine-scale solution and an adaptive scheme to resize the fine-scale domain are introduced and demonstrated to increase the efficiency of the method. © 2009 John Wiley & Sons, Ltd.



FAU-Autoren / FAU-Herausgeber

Mergheim, Julia PD Dr.
Professur für Computational Mechanics


Zitierweisen

APA:
Mergheim, J. (2009). A Variational Multiscale Method to Model Crack Propagation at Finite Strains. International Journal For Numerical Methods in Engineering, 80(3), 269-289. https://dx.doi.org/10.1002/nme.2602

MLA:
Mergheim, Julia. "A Variational Multiscale Method to Model Crack Propagation at Finite Strains." International Journal For Numerical Methods in Engineering 80.3 (2009): 269-289.

BibTeX: 

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