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Weibull distribution

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Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.auto.c9001732
EISBN: 978-1-62708-218-1
.... The Weibull distribution is the statistical model used as a basis for these techniques. This method of failure analysis provides the engineer with clear, positive design direction. Door lock assembly Fatigue (materials) Statistical analysis Weibull distribution Metal (Other, miscellaneous...
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Published: 30 August 2021
Fig. 16 Statistics from the sampled weld residual-stress (WRS) profiles from PROMETHEUS with Weibull distribution for initiation and PRO-LOCA More
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006803
EISBN: 978-1-62708-329-4
.... The definition of a minimum and a maximum is crucial. However unlikely those bounds, they still must be considered, but never beyond the realm of physical possibility. This recommendation is also important when infinite tail distributions are considered (normal, lognormal, Weibull), which may end up creating...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.mech.c9001596
EISBN: 978-1-62708-225-9
... on a Weibull plot and a model was developed using the inverse power law or Power-Weibull Model. 11 , 12 The underlying life distribution, f (T; σ ) , of the Inverse Power Law is assumed to be consistent with a Weibull distribution, with a stress dependent scale parameter, η ( σ ) , and a constant shape...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
.... Mathematics Any function that is strictly positive and for which the area is unity qualifies for a PDF, but there are standard functions, or distributions, that are commonly used in engineering practice. Some of these are the normal, lognormal, extreme value, and Weibull distributions. The PDF and CDF...
Series: ASM Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001005
EISBN: 978-1-62708-215-0
...). The expected oxide flaw distribution depth is shown in Fig. 7 , which indicates a finite probability of oxide scale extending to depths greater than 1 mm (0.04 in.). Fig. 6 Weibull analysis of the depth of forged-in oxide scale Fig. 7 Statistical frequency distribution of the depth of forged...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006792
EISBN: 978-1-62708-295-2
... distributed throughout the material; therefore, a Weibull distribution was assumed for the strength of the material. They then added a term for the depth to maximum shear ( z 0 ) to capture the additional time needed for crack propagation when the cracks form deeper in the material. The equation...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006767
EISBN: 978-1-62708-295-2
... situation, including the loads and the distribution of stresses within the configuration. Is there an additional load/stress that was not included in the analysis, which changes the stress distribution? Or is the stress analysis incorrect? In many cases, however, stress analysis alone is not sufficient...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003564
EISBN: 978-1-62708-180-1
...). The ring crack initiation load is much smaller than the crushing load and approximately follows two-parameter Weibull distribution, with a shape parameter ranging from 9 to 11. Impact cracking of silicon nitride balls during ball finishing or by subsequent handling is a cause for concern, because a surface...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006834
EISBN: 978-1-62708-329-4
..., providing what is usually called a true rolling-contact fatigue mechanism (subsurface fatigue crack, Ref 9 – 11 , versus surface fatigue crack, Ref 9 , 12 ), also called a point surface-origin fatigue crack, which generates surface cracks at its first stage. Fig. 4 Distribution of required...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003563
EISBN: 978-1-62708-180-1
... is deep due to a heavy rolling-load contact, then the tendency is for the crack propagation to turn inward ( Fig. 4 ). The cracks continue to propagate under repeated stress until heavy pitting or spalling takes place ( Fig. 5 ). Fig. 3 Stress distribution in contacting surfaces due to rolling...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
...., Gauss, Weibull, logit, arc sin p ) and the failure probability. Table 2 shows u -values for different failure probabilities for the most often applied Gauss log distribution. Safety span for different failure probabilities (Gauss log distribution) Table 2 Safety span for different...