The scatter in KIC-results

Kim Wallin

Research output: Contribution to journalArticleScientificpeer-review

473 Citations (Scopus)

Abstract

Scatter in KIC-results can often be quite extensive, and to make reliable interpretations of the results it is of great importance to understand the nature of it. Cleavage fracture in steels is of a statistical nature and therefore the scatter in KIC-results will behave similarly.

Two different approaches, one based on a microstructural statistical model and an other based on the Weibull distribution are applied to evaluate the theoretical scatter in KIC-results. With both methods it is shown that the theoretical value of the relative scatter described through the Weibull slope factor is constant and equal to four.

The reason for the discrepancy between the theoretical value and the experimentally determined values of the slope factor is shown to be caused by inadequate number of experimental KIC-measurements. The existence of a lower limiting Kmin value is verified and a simple procedure for conservative estimation of the KIc-mean and lower bound values is presented.

Original languageEnglish
Pages (from-to)1085 - 1093
Number of pages9
JournalEngineering Fracture Mechanics
Volume19
Issue number6
DOIs
Publication statusPublished - 1984
MoE publication typeNot Eligible

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Weibull distribution
Steel
Statistical Models

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Wallin, Kim. / The scatter in KIC-results. In: Engineering Fracture Mechanics. 1984 ; Vol. 19, No. 6. pp. 1085 - 1093.
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The scatter in KIC-results. / Wallin, Kim.

In: Engineering Fracture Mechanics, Vol. 19, No. 6, 1984, p. 1085 - 1093.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - The scatter in KIC-results

AU - Wallin, Kim

PY - 1984

Y1 - 1984

N2 - Scatter in KIC-results can often be quite extensive, and to make reliable interpretations of the results it is of great importance to understand the nature of it. Cleavage fracture in steels is of a statistical nature and therefore the scatter in KIC-results will behave similarly.Two different approaches, one based on a microstructural statistical model and an other based on the Weibull distribution are applied to evaluate the theoretical scatter in KIC-results. With both methods it is shown that the theoretical value of the relative scatter described through the Weibull slope factor is constant and equal to four.The reason for the discrepancy between the theoretical value and the experimentally determined values of the slope factor is shown to be caused by inadequate number of experimental KIC-measurements. The existence of a lower limiting Kmin value is verified and a simple procedure for conservative estimation of the KIc-mean and lower bound values is presented.

AB - Scatter in KIC-results can often be quite extensive, and to make reliable interpretations of the results it is of great importance to understand the nature of it. Cleavage fracture in steels is of a statistical nature and therefore the scatter in KIC-results will behave similarly.Two different approaches, one based on a microstructural statistical model and an other based on the Weibull distribution are applied to evaluate the theoretical scatter in KIC-results. With both methods it is shown that the theoretical value of the relative scatter described through the Weibull slope factor is constant and equal to four.The reason for the discrepancy between the theoretical value and the experimentally determined values of the slope factor is shown to be caused by inadequate number of experimental KIC-measurements. The existence of a lower limiting Kmin value is verified and a simple procedure for conservative estimation of the KIc-mean and lower bound values is presented.

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