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Weibull distribution

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Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2019
DOI: 10.31399/asm.tb.mfadr7.t91110666
EISBN: 978-1-62708-247-1
... Exponential Distribution where λ = 1. The Weibull Distribution Figure 7 Weibull Distribution Probability Density Function. Abstract Abstract This chapter surveys both basic quality and basic reliability concepts as an introduction to the failure analysis professional. It begins...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290193
EISBN: 978-1-62708-319-5
... distribution. Defects cause most of the measured strength variation. The Weibull distribution recognizes this variation and how it reflects the underlying defect populations (pores, for example). The distribution depends on σ O , termed the characteristic strength, and the Weibull modulus, M . The cumulative...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.tb.sfa.t52780157
EISBN: 978-1-62708-268-6
... larger population. Besides the normal distribution, other forms of continuous distribution functions include: The log normal distribution, which applies when zero probability must be assigned to negative values of a quantity (e.g., lifetime of a component) Weibull distributions, which can...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2012
DOI: 10.31399/asm.tb.lmub.t53550511
EISBN: 978-1-62708-307-2
...-tetragonal zirconia polycrystalline (Y-TZP). It also provides information on materials selection, design optimization, and joining methods, and covers every step of the ceramic production process. brazing ceramic processing diffusion bonding structural ceramics toughened ceramics weibull analysis...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290169
EISBN: 978-1-62708-319-5
... a natural distribution within the microstructure. The sintered grain size distribution is characterized by the median size, as plotted for magnesia in Fig. 8.15 . The grain size is normalized to the median size. The symbols are experimental measures, while the solid line corresponds to a Weibull fit. If F...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250311
EISBN: 978-1-62708-345-4
... formulas for contact and bending to address overload, gear dynamics, size, load distribution, surface condition (contact only), and rim thickness (bending only). Design-allowable stress numbers are modified by further factors that address intended life, operating temperature, reliability, safety factor...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.tb.scm.t52870351
EISBN: 978-1-62708-314-0
... is to require five separate batches of materials with six specimens tested from each batch to give a total sample size of 30. Distributions other than a normal distribution are also used. One of the most popular alternative distributions is the two-parameter Weibull distribution. The Modified ASTM D 695...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870157
EISBN: 978-1-62708-344-7
... for Engineering Research , No. 151, 1939 7.13 Weibull W. , A Statistical Distribution of Wide Applicability , J. Appl. Mech. , Vol 18 , 1951 , p 293 – 297 10.1115/1.4010337 7.14 Manson S.S. , Thermal Stresses and Low-Cycle Fatigue , McGraw-Hill, Inc ., New York , 1966 10.1115...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870325
EISBN: 978-1-62708-344-7
.... 12.48 Weibull distribution and 90% confidence bands determined for fracture stress of hot isostatically pressed silicon carbide. Source: Ref 12.14 Fig. 12.10 Schematic representation of the general fatigue response of polymers in terms of strain range versus number of cycles to failure...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.9781627083195
EISBN: 978-1-62708-319-5
Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290201
EISBN: 978-1-62708-319-5
... 0.07 max Note: Allowed Cr, Ni, and Cu variations are ±1 wt%. Examples of 17-4 PH powder characteristics Table 10.2 Examples of 17-4 PH powder characteristics Type (a) D10, μm D50, μm D90, μm Distribution width (S W ) Pycnometer density, g/cm 3 Tap density, g/cm 3 Oxygen...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870375
EISBN: 978-1-62708-344-7
... Hardness, Shore D scale 2000 . . . . . . 2800 1700 . . . . . . . . . Tensile strength, MPa (ksi) 300 (43.5) 180 (26.1) 950 (137.8) 360 (52.2) 660 (95.7) 200 (29.0) 180 (26.1) 65 (9.4) Weibull modulus for strength . . . . . . 14 10 7 . . . . . . 15 Fracture toughness...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540297
EISBN: 978-1-62708-309-6
... of Advanced Ceramics at Ambient Temperature C 1239 Standard Practice for Reporting Uniaxial Strength Data and Estimating Weibull Distribution Parameters for Advanced Ceramics C 1273 Standard Test Method for Tensile Strength of Monolithic Advanced Ceramics at Ambient Temperatures C 1286 Standard...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540047
EISBN: 978-1-62708-309-6
... as a function of gage length for a fractured tension testpiece. (b) Distribution of elongation along a fractured tension testpiece. Original spacing between gage marks, 12.5 mm (0.5 in.) Source: Ref 2.1 Elongation in an unnotched tension-test bar of a ductile material is uniform until the onset...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2011
DOI: 10.31399/asm.tb.jub.t53290165
EISBN: 978-1-62708-306-5
... is distributed between the closely fitted surfaces of the joint by capillary action. Heat is required to raise the joint to a suitable temperature and melt the solder and to promote the action of a flux on the metal surface so that the molten solder will wet and flow into the joint. Successful soldering involves...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.9781627083096
EISBN: 978-1-62708-309-6
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.9781627083447
EISBN: 978-1-62708-344-7
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870179
EISBN: 978-1-62708-344-7
... that takes into account both the notch effect in altering the stress/strain distribution and maintains the condition that the stress/strain relation is the appropriate stress/strain curve of the material. While the early loadings of a cyclic history may involve some hardening or softening, it is common...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2017
DOI: 10.31399/asm.tb.sccmpe2.t55090367
EISBN: 978-1-62708-266-2
... tension specimen. Behavior is generally representative, but curves will vary with specific alloys and tempers. (a) Localized cracking. (b) General cracking. Source: Ref 17.8 (G 49) The corrosion pattern in the test specimen, particularly the number and distribution of cracks, can impair...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1999
DOI: 10.31399/asm.tb.cmp.t66770171
EISBN: 978-1-62708-337-9
... Residual stresses in the carbonitrided case of EX55 (a) without subzero treatment and (b) with subzero treatment. Source: Ref 50 Fig. 7.33 Increase of compressive-residual stresses due to subzero treatment. Source: Ref 51 Fig. 7.31 Weibull plot of data obtained at 1061.79 MPa (154...