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Computational Mechanics
Erschienen in: Computational Mechanics 5/2019

19.09.2018 | Original Paper

A phase-field crack model based on directional stress decomposition

verfasst von: Christian Steinke, Michael Kaliske

Erschienen in: Computational Mechanics | Ausgabe 5/2019

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Abstract

Phase-field crack approximation relies on the proper definition of the crack driving strain energy density to govern the crack evolution and a realistic model for the modified stresses on the crack surface. A novel approach, the directional split, is introduced, analyzed and compared to the two commonly used formulations, which are the spectral split and the volumetric–deviatoric split. The directional split is based on the decomposition of the stress tensor with respect to the crack orientation, specified by a local crack coordinate system, into crack driving and persistent components. Accordingly, a modified stress strain relation is proposed to model fundamental crack characteristics properly, and a thermodynamically consistent crack driving strain energy density is postulated. The split is applied to numerical examples of initially cracked specimens and compared to results obtained by the two standard approaches.
Vorheriger Artikel Effects of shape and misalignment of fibers on the failure response of carbon fiber reinforced polymers
Nächster Artikel Identification of fracture models based on phase field for crack propagation in heterogeneous lattices in a context of non-separated scales

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Metadaten
Titel
A phase-field crack model based on directional stress decomposition
verfasst von
Christian Steinke
Michael Kaliske
Publikationsdatum
19.09.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2019
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1635-0

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