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Efficient and robust numerical treatment of a gradient‐enhanced damage model at large deformations
Author(s) -
Junker Philipp,
Riesselmann Johannes,
Balzani Daniel
Publication year - 2021
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6876
Subject(s) - finite element method , robustness (evolution) , strain energy density function , regularization (linguistics) , mathematics , structural engineering , computer science , engineering , biochemistry , chemistry , artificial intelligence , gene
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.