Analysis of Fracture Probabilities in Non-Uniformly Stressed Brittle Materials

Abstract

This paper describes the results of theoretical studies on the effect of non-uniform stress fields limited to those encountered in prismatic beams under bending, upon the fracture of brittle materials. Derivations were carried out to determine the risk of rupture of bending specimens subjected to a symmetrical four-point load of arbitrary spacing, the symmetric three-point loading and pure bending forming limiting cases of this more general loading. The analysis was based on materials obeying the Weibull distribution function with assumptions for either volumetric or surface flaw dispersion conditions. Comparisons are presented between the predicted strengths of bending and tensile specimens.

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Document Details

Document Type
Technical Report
Publication Date
May 05, 1964
Accession Number
AD0437664

Entities

People

  • I. M. Daniel
  • N. A. Weil

Organizations

  • IIT Research Institute

Tags

DTIC Thesaurus Topics

  • Air Force
  • Data Science
  • Distribution Curves
  • Distribution Functions
  • Experimental Data
  • Government Procurement
  • Information Science
  • Laboratory Tests
  • Least Squares Method
  • Materials
  • Probability
  • Probability Density Functions
  • Quadrants
  • Shear Stresses
  • Statistical Analysis
  • Stresses
  • Tensile Stress

Readers

  • Approximation Theory.
  • Mechanical Engineering/Mechanics of Materials.
  • Statistical inference.

Technology Areas

  • Space