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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Technical Brief
References
1.
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
.2.
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
.3.
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
.4.
Bai
, T.
, Pollard
, D. D.
, and Gao
, H.
, 2000
, “Explanation for Fracture Spacing in Layered Materials
,” Nature
, 403
(6771
), pp. 753
–756
.5.
Adda-Bedia
, M.
, and Ben Amar
, M.
, 2001
, “Fracture Spacing in Layered Materials
,” Phys. Rev. Lett.
, 86
(25
), pp. 5703
–5706
.6.
Timoshenko
, S.
, and Goodier
, J. N.
, 1951
, Theory of Elasticity
, 2nd ed., McGraw-Hill
, New York
.7.
Sneddon
, I. N.
, 1951
, Fourier Transforms
, McGraw-Hill
, New York
.8.
Sneddon
, I. N.
, 1966
, Mixed Boundary Value Problems in Potential Theory
, Wiley
, New York
.9.
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
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