By D. E. McCabe, J. G. Merkle, K. Wallin
This new ASTM guide introduces the idea that of the grasp Curve strategy so it may be understood and utilized by engineers who've had restricted publicity to elastic-plastic fracture mechanics and/or complex statistical equipment. It addresses the sensible design-related challenge of defining the ductile-to-brittle fracture transition temperature of structural steels without delay by way of fracture mechanics facts. subject matters disguise: • historical past and ancient features • information validity requisites imposed on try info, and the variety of information required to represent a statistically useable information set for identifying a reference temperature, To • try out specimens that may be used to strengthen legitimate KJc • Fixturing and try out apparatus wishes • instruction of specimens (precracking and side-grooving) for checking out • try out machines, their mode of operation, and advised specimen loading charges • all the info had to calculate values of KJc • Scale parameter statistical equations for cloth checking out • moment choice for calculating the To temperature that's useable while KJc info were generated at a variety of attempt temperatures • How the variety of KJc values is dealt with utilizing the three-parameter Weibull version • info on strategies lower than research • short dialogue of vital issues enthusiastic about without delay utilizing grasp Curve fracture durability information to the fracture-safety research of exact buildings
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Extra info for An Introduction to the Development and Use of the Master Curve Method (ASTM Manual) (Astm Manual Series, Mnl 52)
2inValid Plus Invalid Data at One Test Temperature The following equation was derived by m a x i m u m likelihood theory to use with mixed valid and invalid Kj~ data . It is assumed here that: 1. All specimens have been tested at one test temperature. 2. All specimens are of ASTM E 1921 specified geometries. 3. If specimens were of varied sizes, the Kjc values have been converted to one c o m m o n size. See Note 3. 4. There are at least six valid Kjc values in the mix of valid/invalid data.
The difference in Kjc is tolerable up to about 1 m m of stable-ductile crack growth. For small specimens, such as precracked Charpys, the permissible amount of prior ductile crack growth is up to 5 % of crack size, or 1 ram, whichever is the smaller. This limitation on stable crack growth is a recent modification to the E 1921 standard. Most of the original data used to develop the Master Curve shape were from non-side-grooved specimens, for which the effect of side-grooving on stable growth toughness development was not an issue.
Including the inhomogeneity makes standard MC analysis non-conservative (267 MPa r versus 215 MPa ~/m). for the complete data set (the broken line in Fig. 18) were noticeably different. Furthermore, the plot of the complete data set did not follow a nearly straight line up to M ~ 30. Therefore, a data treatment procedure was warranted. Note 4--SINTAP Structural Integrity Assessment Procedure for treatment of Fracture Toughness Data . Development of a plot such as Fig. 18 could require as many as 20-30 randomly distributed replicate tests to make an effective demonstration.