ISSN: 1945-7553
CODEN: JTEVAB
Page Count: 8

Regression Analysis of Single Specimen Fracture Toughness Data with Serially Correlated Errors

Moskovic, R
Research Officer, Scientific and Technical Branch, OED (South), Central Electricity Generating Board, Gravesend, Kent

Windle, PL
Research Officer, Scientific and Technical Branch, OED (South), Central Electricity Generating Board, Gravesend, Kent

(Received 9 November 1987; accepted 7 January 1989)

Abstract

The statistical properties of errors associated with J-integral estimates and crack growth measurements obtained by single specimen fracture toughness test methods are examined. It is shown that the errors in the J estimates can be serially correlated. Slope and intercept estimates and their standard errors are derived for the fitted line on the basis of a regression model, suggested by Mandel, which makes allowance for the serial correlation of errors in J. A theoretical model is developed to compare the scatter apparent on a J/Δa plot with the true error inherent in the data.

Keywords:
fracture toughness, single specimen testing, serial correlation of errors, regression analysis, lower bound toughness

Paper ID: JTE11128J
DOI: 10.1520/JTE11128J
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