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.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.


Becker, A. , and Gross, M. R. , 1996, “ Mechanism for Joint Saturation in Mechanically Layered Rocks: An Example From Southern Israel,” Tectonophysics, 257(2–4), pp. 223–237. [CrossRef]
Ji, S. , and Saruwatari, K. , 1998, “ A Revised Model for the Relationship Between Joint Spacing and Layer Thickness,” J. Struct. Geol., 20(11), pp. 1495–1508. [CrossRef]
Bai, T. , and Pollard, D. D. , 2000, “ Fracture Spacing in Layered Rocks: A New Explanation Based on the Stress Transition,” J. Struct. Geol., 22(1), pp. 43–57. [CrossRef]
Bai, T. , Pollard, D. D. , and Gao, H. , 2000, “ Explanation for Fracture Spacing in Layered Materials,” Nature, 403(6771), pp. 753–756. [CrossRef] [PubMed]
Adda-Bedia, M. , and Ben Amar, M. , 2001, “ Fracture Spacing in Layered Materials,” Phys. Rev. Lett., 86(25), pp. 5703–5706. [CrossRef] [PubMed]
Timoshenko, S. , and Goodier, J. N. , 1951, Theory of Elasticity, 2nd ed., McGraw-Hill, New York.
Sneddon, I. N. , 1951, Fourier Transforms, McGraw-Hill, New York.
Sneddon, I. N. , 1966, Mixed Boundary Value Problems in Potential Theory, Wiley, New York.
Tanzosh, J. P. , and Stone, H. A. , 1995, “ Transverse Motion of a Disk Through a Rotating Viscous Fluid,” J. Fluid Mech., 301, pp. 295–324. [CrossRef]


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



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In