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COMPATIBLE COMPLIANCE AND STRESS INTENSITY EXPRESSIONS FOR THE STANDARD THREE‐POINT BEND SPECIMEN
Author(s) -
Bakker A.
Publication year - 1990
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1990.tb00586.x
Subject(s) - stress intensity factor , expression (computer science) , inverse , compliance (psychology) , collocation (remote sensing) , structural engineering , line (geometry) , point (geometry) , mathematics , mathematical analysis , materials science , fracture mechanics , geometry , engineering , computer science , programming language , psychology , social psychology , machine learning
Available expressions for load‐line compliance and crack‐mouth opening compliance expressions for standard three‐point bend specimens (span over width ratio =4) are assessed. It is concluded that none of the available expressions are able to reproduce the source data (boundary collocation results and theoretical limits for relative crack depths equal to 0 and 1) for the entire range of relative crack depth. New expressions for example are proposed and the accuracy of each is indicated. A by‐product of the new expression for load‐line compliance is a new, fully compatible stress intensity expression that is, consistent with the load line compliance expression as known from theoretical considerations. Also inverse expressions are presented which predicting the crack length from compliance. To improve the accuracy of such inverse expressions, a correction that results in a considerable error reduction is presented.