The Probability of Failure of a System Subjected to the Joint Effect of Cyclic Loading and Randomly Distributed Discrete Load Peaks.

Abstract

If a specimen is subjected to some kind of cyclic loading with a maximum load level S, which is larger than the fatigue limit of the specimen, then the strength of the specimen will gradually decrease until its residual strength R reaches the value S, when static failure occurs. This deterioration process may, as indicated, be described graphically by an R-S-N-diagram or analytically by a set of parameter functions of S and N. If now a discrete load peak of known level L is imposed upon the specimen after N fatigue cycles, then the probability of failure may be directly read from the diagram or computed by use of the parameter functions. A generalization of the R-S-N-diagram is proposed in order to make it applicable to the case, when the discrete load peaks are replaced by sequences of different cyclic loadings. By use of this diagram it has been proved that Miner's measure of cumulative fatigue damage M = sum over n sub i/N sub i depends on the order in which the different sequences are applied, a defect which has been repeatedly verified by experiment. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1977
Accession Number
ADA055243

Entities

People

  • Waloddi Weibull

Tags

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Air Force
  • Air Force Facilities
  • Aluminum Alloys
  • Cyclic Loads
  • Distribution Functions
  • Fatigue Life
  • Fatigue Tests (Mechanics)
  • Government Procurement
  • Governments
  • Materials Laboratories
  • Metals
  • Probability
  • Random Variables
  • Residuals
  • Tensile Strength
  • Test And Evaluation

Fields of Study

  • Engineering

Readers

  • Computational Modeling and Simulation
  • Mathematics or Statistics
  • Structural Health Monitoring of Composite Structures.