A statistical approach for the assessment of reliability in ceramic materials from ultrasonic velocity measurement: Cumulative Flaw Length Theory

Boccaccini DN, Maioli M, Cannio M, Romagnoli M, Veronesi P, Leonelli C, Boccaccini AR (2009)

Publication Type: Journal article

Publication year: 2009

Journal

Engineering Fracture Mechanics Elsevier

Publisher: Elsevier

Pages Range: 1750-1759

Journal Issue: 76

DOI: 10.1016/j.engfracmech.2009.03.008

Abstract

A primary objective of statistical fracture approach is to predict the probability of failure of a component for an arbitrary stress state when the failure statistics are known. This study introduces the fundamentals and application of a new approach to characterize the mechanical behaviour of high temperature ceramic materials, including refractory materials, by coupling non-destructive methods, in particular ultrasonic velocity measurement, and the Batdorf statistical fracture theory. A new approach, termed Cumulative Flaw Length Theory (CFLT), has been developed for the case of macroscopically homogeneous isotropic materials containing randomly oriented microcracks uniformly distributed in a location subjected to non-uniform multiaxial stresses. A function representing the number of cracks per unit volume is estimated based on the histograms of ultrasonic velocity measurements. This function is used without additional assumptions to determine the probability of fracture under an arbitrary stress condition. Two different cordierite-mullite high temperature ceramic materials were characterized under the assumptions of this theory to provide experimental evidence to support the model. © 2009 Elsevier Ltd. All rights reserved.

Authors with CRIS profile

Aldo Boccaccini Lehrstuhl für Werkstoffwissenschaften (Biomaterialien)

Involved external institutions

Università degli Studi di Modena e Reggio Emilia (UNIMORE) IT Italy (IT)

How to cite

APA:

Boccaccini, D.N., Maioli, M., Cannio, M., Romagnoli, M., Veronesi, P., Leonelli, C., & Boccaccini, A.R. (2009). A statistical approach for the assessment of reliability in ceramic materials from ultrasonic velocity measurement: Cumulative Flaw Length Theory. Engineering Fracture Mechanics, 76, 1750-1759. https://doi.org/10.1016/j.engfracmech.2009.03.008

MLA:

Boccaccini, D. N., et al. "A statistical approach for the assessment of reliability in ceramic materials from ultrasonic velocity measurement: Cumulative Flaw Length Theory." Engineering Fracture Mechanics 76 (2009): 1750-1759.

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