A stress-strength interference approach to reliability analysis of ceramics: Part I - fast fracture

Franz Boehm; E. E. Lewis

doi:10.1016/0266-8920(92)90002-Y

A stress-strength interference approach to reliability analysis of ceramics: Part I - fast fracture

Franz Boehm^*, E. E. Lewis

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A stress-strength interference theory is formulated to treat ceramic component fracture caused by volume embedded cracks. Spatial stress fields obtained from finite element calculations are transformed to obtain equivalent stress probability distribution functions for both normal stress and shear sensitive fracture criteria. These are combined with Weibull and Poisson distributions, respectively, for the strength of the solid containing a single crack and the crack densities to obtain fast fracture probability estimates. The effects of geometry and fracture criteria are examined for components with equal volume and maximum stress.

Original language	English (US)
Pages (from-to)	1-8
Number of pages	8
Journal	Probabilistic Engineering Mechanics
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/0266-8920(92)90002-Y
State	Published - 1992

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Civil and Structural Engineering
Nuclear Energy and Engineering
Condensed Matter Physics
Aerospace Engineering
Ocean Engineering
Mechanical Engineering

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10.1016/0266-8920(92)90002-Y

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title = "A stress-strength interference approach to reliability analysis of ceramics: Part I - fast fracture",

abstract = "A stress-strength interference theory is formulated to treat ceramic component fracture caused by volume embedded cracks. Spatial stress fields obtained from finite element calculations are transformed to obtain equivalent stress probability distribution functions for both normal stress and shear sensitive fracture criteria. These are combined with Weibull and Poisson distributions, respectively, for the strength of the solid containing a single crack and the crack densities to obtain fast fracture probability estimates. The effects of geometry and fracture criteria are examined for components with equal volume and maximum stress.",

author = "Franz Boehm and Lewis, {E. E.}",

note = "Funding Information: This work is based in part on a dissertation submitted by the first author in partial fulfillment of the requirements of the PhD degree at Northwestern University. The work was supported in part by the Air Force Office of Scientific Research.",

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AU - Boehm, Franz

AU - Lewis, E. E.

N1 - Funding Information: This work is based in part on a dissertation submitted by the first author in partial fulfillment of the requirements of the PhD degree at Northwestern University. The work was supported in part by the Air Force Office of Scientific Research.

PY - 1992

Y1 - 1992

N2 - A stress-strength interference theory is formulated to treat ceramic component fracture caused by volume embedded cracks. Spatial stress fields obtained from finite element calculations are transformed to obtain equivalent stress probability distribution functions for both normal stress and shear sensitive fracture criteria. These are combined with Weibull and Poisson distributions, respectively, for the strength of the solid containing a single crack and the crack densities to obtain fast fracture probability estimates. The effects of geometry and fracture criteria are examined for components with equal volume and maximum stress.

AB - A stress-strength interference theory is formulated to treat ceramic component fracture caused by volume embedded cracks. Spatial stress fields obtained from finite element calculations are transformed to obtain equivalent stress probability distribution functions for both normal stress and shear sensitive fracture criteria. These are combined with Weibull and Poisson distributions, respectively, for the strength of the solid containing a single crack and the crack densities to obtain fast fracture probability estimates. The effects of geometry and fracture criteria are examined for components with equal volume and maximum stress.

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A stress-strength interference approach to reliability analysis of ceramics: Part I - fast fracture

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