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Technical Brief

Fracture Formation in Axisymmetrical Layered Materials

[+] Author and Article Information
Jérôme Colin

Institut P’,
Université de Poitiers,
ENSMA, SP2MI-Téléport 2,
Futuroscope-Chasseneuil cedex F86962, France
e-mail: jerome.colin@univ-poitiers.fr

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 5, 2016; final manuscript received April 6, 2016; published online April 21, 2016. Assoc. Editor: Nick Aravas.

J. Appl. Mech 83(7), 074501 (Apr 21, 2016) (3 pages) Paper No: JAM-16-1006; doi: 10.1115/1.4033337 History: Received January 05, 2016; Revised April 06, 2016

A stress-based criterion for the formation of a periodic distribution of cracks in an infinite-length cylindrical inclusion of radius R embedded in an infinite-size matrix has been established when the inclusion undergoes intrinsic strain. In agreement with previous studies, it is found that the distance separating two consecutive circular cracks of the same radius than that of inclusion does not depend on stress nor elastic coefficients of the material. This critical distance has been found to be of the order of 1.67 R.

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Figures

Grahic Jump Location
Fig. 1

Schematic representation of an axisymmetrical inclusion of radius R embedded in an infinite-size matrix. A periodic array of circular fractures is introduced into the cylinder submitted to a tensile stress σzz0=σ0. The distance between two adjacent fractures is labeled h, the radius of the fracture is equal to the cylinder radius R.

Grahic Jump Location
Fig. 2

Evolution of the total stress component σ̃zz versus h̃−1=R/h at the point r=0,z=h̃/2 when the radii of the inclusion and the fractures are the same

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