Phase-field modeling of brittle fracture in heterogeneous bars


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Date

2023

Publication Type

Journal Article

ETH Bibliography

yes

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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.

Publication status

published

Editor

Book title

Volume

97

Pages / Article No.

104826

Publisher

Elsevier

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Heterogeneity; Phase-field; 1D; Fracture toughness; Peak stress

Organisational unit

09697 - De Lorenzis, Laura / De Lorenzis, Laura check_circle
09697 - De Lorenzis, Laura / De Lorenzis, Laura check_circle

Notes

Funding

861061 - New strategies for multifield fracture problems across scales in heterogeneous systems for Energy, Health and Transport (EC)

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