Adaptive and highly accurate numerical treatment for a gradient‐enhanced brittle damage model

authored by: A. Vogel, Philipp Junker
Abstract: We present an adaptive numerical treatment for a recently published model for brittle damage with gradient enhancement. We employ adaptive strategies both in time and space, yielding detailed investigations of the convergence behavior: the damage distribution can be resolved with very high accuracy, turning the damage behavior into cracks known from fracture mechanics. Although the localization is extreme, mesh-independent results are obtained thanks to the spatial adaptivity and allow for a detailed investigation of the influence of the regularization parameter.
External Organisation(s): Ruhr-Universität Bochum
Type: Article
Journal: International Journal for Numerical Methods in Engineering
Volume: 121
Pages: 3108-3131
No. of pages: 24
ISSN: 0029-5981
Publication date: 08.06.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s): https://doi.org/10.1002/nme.6349 (Access: Open)
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