Weibull Analysis Effective Volume and Effective Area for a Ceramic C-Ring Test Specimen

Abstract

C-ring specimen geometries are used to ascertain Weibull parameters for spatially distributed flaw populations in ceramic gun barrels. A review of previously published results used to compute effective areas and effective volumes for this test specimen geometry is presented along with deficiencies associated with these computations. In addition, the results of the numerical analyses presented utilizing finite-element analysis and component level reliability algorithms clearly indicate that geometric constraints called out in the current ASTM standard for C-ring testing must be revised.

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“…When the specimens are bent in the C-ring tests, the maximum tensile stresses occur on the internal surface (tensile loading) or on the outer surface (compression loading) [29]. Therefore, this test evaluates the strength based on the distribution of flaws on the surfaces of layer I and III, respectively [30].…”