The self-consistent scheme is used to model the state of an elastic material with a very high density of nearly connected cracks. Then fracture mechanics is used to pose the problem of the complete and final failure of the material under uniaxial and eqibiaxial tension. These failure states are taken to be those of the extreme case of brittle fracture. A specific form for the resulting extreme brittle failure criterion is given.
A Possible Limiting Case Behavior for Brittle Material Fracture
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, January 2, 2001; final revision, October 19, 2001. Associate Editor: K. Ravi-Chandar. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Christensen, R. M. (October 31, 2002). "A Possible Limiting Case Behavior for Brittle Material Fracture ." ASME. J. Appl. Mech. November 2002; 69(6): 772–774. https://doi.org/10.1115/1.1483835
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