IJPAM: Volume 84, No. 3 (2013)
UNDER CYCLIC LOAD
University of Alabama in Huntsville
Huntsville, AL 35899, USA
Abstract. An existing model of slow crack growth in brittle composites is extended to the case of cyclic loading. The mode of crack growth being modeled consists of a sequence of jumps of random magnitude with random arrest durations between the jumps. Both the jumps and the arrest durations are governed by their respective non-homogeneous Poisson processes, one in space coordinate, the other one in the number of cycles N. A PDE is derived for the transition probability of the random process that represents crack tip location as a function of N. A Paris Law type relation is derived. A numerical illustration is considered.
Received: October 24, 2012
AMS Subject Classification: 74R10, 60K35
Key Words and Phrases: brittle fracture, stochastic Crack growth, Paris law
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DOI: 10.12732/ijpam.v84i3.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395