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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