Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-11586
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Main Title: Computation of brittle fracture propagation in strain gradient materials by the FEniCS library
Author(s): Barchiesi, Emilio
Yang, Hua
Tran, C. A.
Placidi, Luca
Müller, Wolfgang H.
Type: Article
URI: https://depositonce.tu-berlin.de/handle/11303/12786
http://dx.doi.org/10.14279/depositonce-11586
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: Strain gradient continuum damage modelling has been applied to quasistatic brittle fracture within an approach based on a maximum energy-release rate principle. The model was implemented numerically, making use of the FEniCS open-source library. The considered model introduces non-locality by taking into account the strain gradient in the deformation energy. This allows for stable computations of crack propagation in differently notched samples. The model can take wedges into account, so that fracture onset can occur at wedges. Owing to the absence of a damage gradient term in the dissipated energy, the normal part of the damage gradient is not constrained on boundaries. Thus, non-orthogonal and non-parallel intersections between cracks and boundaries can be observed.
Subject(s): strain gradient elasticity
brittle fracture
FEniCS
variational principles
regularization
Issue Date: 1-Mar-2021
Date Available: 10-Mar-2021
Is Part Of: 10.14279/depositonce-12553
Language Code: en
DDC Class: 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
Journal Title: Mathematics and Mechanics of Solids
Publisher: SAGE
Volume: 26
Issue: 3
Publisher DOI: 10.1177/1081286520954513
Page Start: 325
Page End: 340
EISSN: 1741-3028
ISSN: 1081-2865
Notes: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
TU Affiliation(s): Fak. 5 Verkehrs- und Maschinensysteme » Inst. Mechanik » FG Kontinuumsmechanik und Materialtheorie
Appears in Collections:Technische Universität Berlin » Publications

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