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Main Title: Dynamics of the Size and Orientation Distribution of Microcracks and Evolution of Macroscopic Damage Parameters
Author(s): Papenfuss, Christina
Böhme, Thomas
Herrmann, Heiko
Muschik, Wolfgang
Verhás, Joseph
Type: Article
Language Code: en
Abstract: We are dealing with damage of brittle materials caused by growth of microcracks. In our model the cracks are penny-shaped. They can only enlarge but not heal. For a single crack a Rice–Griffith growth law is assumed: There is crack growth only if tension is applied normally to the crack surface, exceeding a critical value. Our aim is to investigate the effect of crack growth on macroscopic constitutive quantities. A possible approach taking into account such an internal structure within continuum mechanics is the mesoscopic theory. A distribution of crack lengths and crack orientations within the continuum element is introduced. Macroscopic quantities are calculated as averages with the distribution function. A macroscopic measure of the progressing damage, i.e., a damage parameter, is the average crack length. For this scalar damage parameter we derive an evolution equation. Due to the unilateral growth law for the single crack, it turns out that the form of this differential equation depends explicitly on the initial crack length distribution. In order to treat biaxial loading, it is necessary to introduce a tensorial damage parameter. We define a second-order tensor damage parameter in terms of the crack length and orientation distribution function.
Issue Date: 2007
Date Available: 10-Oct-2018
DDC Class: 530 Physik
Subject(s): microcracks
crack growth
damage parameter
Journal Title: Journal of non-equilibrium thermodynamics
Publisher: De Gruyter
Publisher Place: Berlin
Volume: 32
Issue: 2
Publisher DOI: 10.1515/JNETDY.2007.005
Page Start: 129
Page End: 142
EISSN: 1437-4358
ISSN: 0340-0204
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.
Appears in Collections:Inst. Theoretische Physik » Publications

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