Open access
Date
2023Type
- Journal Article
Abstract
We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in elastic and fracture material properties influences the observed behavior of the bar, as obtained from the phase-field modeling approach. The results clarify how the elastic limit stress, the peak stress and the fracture toughness of the heterogeneous bar relate to those of the reference homogeneous bar, and what are the parameters affecting these relationships. Overall, the effect of heterogeneity is shown to be strictly tied to the non-local nature of the phase-field regularization. Finally, we show that this non-locality may amend the ill-posedness of the sharp-crack problem in heterogeneous bars where multiple points compete as fracture locations. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000578777Publication status
publishedExternal links
Journal / series
European Journal of Mechanics. A, SolidsVolume
Pages / Article No.
Publisher
ElsevierSubject
Heterogeneity; Phase-field; 1D; Fracture toughness; Peak stressOrganisational unit
09697 - De Lorenzis, Laura / De Lorenzis, Laura
09697 - De Lorenzis, Laura / De Lorenzis, Laura
Funding
861061 - New strategies for multifield fracture problems across scales in heterogeneous systems for Energy, Health and Transport (EC)
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