SYMPOSIA PAPER Published: 01 January 1993

Statistical Aspects of Constraint with Emphasis on Testing and Analysis of Laboratory Specimens in the Transition Region


The effect of specimen thickness, side grooving, large-scale yielding of the ligament, and ductile tearing upon the probability of cleavage fracture initiation is examined within the framework of a general statistical model for cleavage fracture initiation. First, a derivation of the statistical model is presented, and then the model is used to explain the effects of different factors affecting the cleavage fracture probability. As a result, a specimen size requirement for elastic-plastic cleavage fracture toughness testing with bend-type specimens is obtained. Additionally, a simple correction function to validate invalid test results with insufficient ligament size and prior ductile tearing is presented.

Author Information

Wallin, K
Technical Research Center of Finland (VTT), Metals Laboratory, Espoo, Finland
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Developed by Committee: E08
Pages: 264–288
DOI: 10.1520/STP18032S
ISBN-EB: 978-0-8031-5229-8
ISBN-13: 978-0-8031-1481-4