Abstract
A solution is presented of the problem of quasi-static expansion of a spherical or a cylindrical cavity located in an infinite medium composed of an idealized brittle material with the following properties: (i) Before failure it behaves as a Hooke solid; (ii) In intact state it fails according to a generalized form of the Griffith failure criterion; (iii) In a crushed state it obeys the Mohr-Coulomb failure criterion. The solution covers two different modes of failure of the material around the cavity; with a radially cracked zone for low values of ambient pressure, and without the zone for higher values of the ambient pressure. A tentative application of the theory in the field of indentation hardness testing is shown.
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