Details
| Original language | English |
|---|---|
| Pages (from-to) | 774-793 |
| Number of pages | 20 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 123 |
| Issue number | 3 |
| Early online date | 15 Nov 2021 |
| Publication status | Published - 17 Feb 2022 |
Abstract
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In: International Journal for Numerical Methods in Engineering, Vol. 123, No. 3, 17.02.2022, p. 774-793.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Efficient and robust numerical treatment of a gradient-enhanced damage model at large deformations
AU - Junker, Philipp
AU - Riesselmann, Johannes
AU - Balzani, Daniel
N1 - Funding Information: The authors Johannes Riesselmann and Daniel Balzani greatly appreciate funding by the German Science Foundation (Deutsche Forschungsgemeinschaft, DFG) as part of the Priority Program German 1748 “Reliable simulation techniques in solid mechanics. Development of non‐standard discretization methods, mechanical and mathematical analysis,” project ID BA2823/15‐1.
PY - 2022/2/17
Y1 - 2022/2/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85106163244&partnerID=8YFLogxK
U2 - 10.1002/nme.6876
DO - 10.1002/nme.6876
M3 - Article
AN - SCOPUS:85106163244
VL - 123
SP - 774
EP - 793
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -