Cracks of higher modes in Cosserat continua

Pasternak, E., Dyskin, A. V. and Muhlhaus, H-B. (2006). Cracks of higher modes in Cosserat continua. In: E. Bouchaud, B. Chiaia, A. Hansen, H. Herrmann, R. Kalia, M. Marder and J. van Mier, Proceedings of 11th International Conference on Fracture: Physics and scaling of fracture. 11th International Conference on Fracture, Turino, Italy, (189-199). 20-25 March 2005. doi:10.1007/s10704-006-0077-4


Author Pasternak, E.
Dyskin, A. V.
Muhlhaus, H-B.
Title of paper Cracks of higher modes in Cosserat continua
Conference name 11th International Conference on Fracture
Conference location Turino, Italy
Conference dates 20-25 March 2005
Proceedings title Proceedings of 11th International Conference on Fracture: Physics and scaling of fracture   Check publisher's open access policy
Journal name International Journal of Fracture   Check publisher's open access policy
Place of Publication Dordrecht, Netherlands
Publisher Springer
Publication Year 2006
Sub-type Fully published paper
DOI 10.1007/s10704-006-0077-4
ISSN 0376-9429
1573-2673
Editor E. Bouchaud
B. Chiaia
A. Hansen
H. Herrmann
R. Kalia
M. Marder
J. van Mier
Volume 140
Issue 1-4
Start page 189
End page 199
Total pages 11
Language eng
Abstract/Summary Rotational degrees of freedom in Cosserat continua give rise to higher fracture modes. Three new fracture modes correspond to the cracks that are surfaces of discontinuities in the corresponding components of independent Cosserat rotations. We develop a generalisation of J- integral that includes these additional degrees of freedom. The obtained path-independent integrals are used to develop a criterion of crack propagation for a special type of failure in layered materials with sliding layers. This fracture propagates as a progressive bending failure of layers – a “bending crack that is, a crack that can be represented as a distribution of discontinuities in the layer bending. This situation is analysed using a 2D Cosserat continuum model. Semi-infinite bending crack normal to layering is considered. The moment stress concentrates along the line that is a continuation of the crack and has a singularity of the power − 1/4. A model of process zone is proposed for the case when the breakage of layers in the process of bending crack propagation is caused by a crack (microcrack in our description) growing across the layer adjacent to the crack tip. This growth is unstable (in the moment-controlled loading), which results in a typical descending branch of moment stress – rotation discontinuity relationship and hence in emergence of a Barenblatt-type process zone at the tip of the bending crack.
Keyword Invariant integrals
Bending crack
Cosserat rotation
Moment stress
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

 
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Created: Mon, 27 Aug 2007, 12:58:23 EST