Efficient and robust numerical treatment of a gradient-enhanced damage model at large deformations

verfasst von
Philipp Junker, Johannes Riesselmann, Daniel Balzani
Abstract

The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the discrete system of equations is counteracted by regularization schemes of which the gradient enhancement of the strain energy density is often used. In this contribution, we present an extension of the efficient numerical treatment, which has been proposed by Junker et al. in 2019, to materials that are subjected to large deformations. Along with the model derivation, we present a technique for element erosion in the case of severely damaged materials. Efficiency and robustness of our approach is demonstrated by two numerical examples including snapback and springback phenomena.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Externe Organisation(en)
Ruhr-Universität Bochum
Typ
Artikel
Journal
International Journal for Numerical Methods in Engineering
Band
123
Seiten
774-793
Anzahl der Seiten
20
ISSN
0029-5981
Publikationsdatum
17.02.2022
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
Elektronische Version(en)
https://doi.org/10.1002/nme.6876 (Zugang: Offen)
 

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