Accession Number:

AD0652419

Title:

A PROBABILISTIC INTERPRETATION OF MINER'S RULE

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB

Personal Author(s):

Report Date:

1967-04-01

Pagination or Media Count:

34.0

Abstract:

Miners rule for the cumulative damage due to fatigue, the behavior of which is well known in engineering practice as a deterministic rule, is examined from a probabilistic point of view. By adopting a model for stochastic crack growth with incremental extensions having a distribution with increasing failure rate, and utilizing some results from renewal theory, we exhibit conditions of dependence upon load under which Miners rule does yield the mathematical expectation of the fatigue life. We also obtain conditions of dependence under which it is conservative and others when it is unconservative. The relationships between the mathematical assumptions which govern when the rule is, on the average, conservative or unconservative, are related to the physical conditions in practice which are known to force significant departures from the rule

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE