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sampling
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in Analysis Methods for Probabilistic Life Assessment
> Analysis and Prevention of Component and Equipment Failures
Published: 30 August 2021
Fig. 7 Illustration of sampling from a distribution using a random number generator. CDF, cumulative distribution function
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in Analysis Methods for Probabilistic Life Assessment
> Analysis and Prevention of Component and Equipment Failures
Published: 30 August 2021
Fig. 8 Illustration of the Latin hypercube sampling method. CDF, cumulative distribution function
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in Analysis Methods for Probabilistic Life Assessment
> Analysis and Prevention of Component and Equipment Failures
Published: 30 August 2021
Fig. 10 Importance sampling focusing on (a) low values and (b) high values on a standard normal distribution
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in Analysis Methods for Probabilistic Life Assessment
> Analysis and Prevention of Component and Equipment Failures
Published: 30 August 2021
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
... method, and the most frequently used simulation methods, standard Monte Carlo sampling, Latin hypercube sampling, and discrete probability distribution sampling. Further, the article discusses methods developed to analyze the results of probabilistic methods and covers the use of epistemic and aleatory...
Abstract
This article provides an outline of the issues to consider in performing a probabilistic life assessment. It begins with an historical background and introduces the most common methods. The article then describes those methods covering subjects such as the required random variable definitions, how uncertainty is quantified, and input for the associated random variables, as well as the characterization of the response uncertainty. Next, it focuses on specific and generic uncertainty propagation techniques: first- and second-order reliability methods, the response surface method, and the most frequently used simulation methods, standard Monte Carlo sampling, Latin hypercube sampling, and discrete probability distribution sampling. Further, the article discusses methods developed to analyze the results of probabilistic methods and covers the use of epistemic and aleatory sampling as well as several statistical techniques. Finally, it illustrates some of the techniques with application problems for which probabilistic analysis is an essential element.
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in Microstructural Analysis of Failure of a Stainless Steel Bone Plate Implant
> ASM Failure Analysis Case Histories: Medical and Biomedical Devices
Published: 01 June 2019
Fig. 2 Identification of samples used for failure analysis
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in Corrosion of a Neck Fitting
> ASM Failure Analysis Case Histories: Pulp and Paper Processing Equipment
Published: 01 June 2019
Fig. 1 Intergranular corrosion. (a) Sample from a cast stainless steel neck fitting. (b) Region adjacent to the intergranular corrosion revealing extensive a-phase precipitation at grain boundaries; electrolytic etching using 10 N KOH. (c) Same area as (b) after repolishing and etching
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Published: 01 June 2019
Fig. 4 SEM fractograph of the fracture surface on a wire sample showing cup part of a typical cup and cone fracture
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Published: 01 June 2019
Fig. 6 Longitudinal section of the failed wire sample (unetched) showing large population of silicates and oxides
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Published: 01 June 2019
Fig. 7 Longitudinal section of the failed wire sample (unetched) showing some silicate inclusions present as long stringers
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Published: 01 June 2019
Fig. 8 Longitudinal section of the failed wire sample (etched with aqua regia) showing severely deformed grains in austenite
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Published: 01 December 1993
Fig. 1 Tube samples as received for analysis. (a) From top to bottom, Tubes 1,2,3, and 4, showing hotside (furnace side). (b) Transverse ring section removed from a tube sample for metallographic analysis. Note the internal gouging at the 12:00 position (arrows). Nital etch.
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Published: 01 December 1993
Fig. 2 Internal surface of a sample at the 12:00 position. Voids from hydrogen damage are evident beneath the internal corrosion (black arrows). Nital etch. (a) Copper deposits are visible on the internal surface (white arrows). (b) Microfissures near the internal gouging. 800×.
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Published: 01 December 1993
Fig. 3 Typical microstructure of pearlite and ferrite observed in the tube samples. Nital etch. (a) 100×. (b) 800×.
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in Solvent-Induced Cracking Failure of Polycarbonate Ophthalmic Lenses
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1993
Fig. 6 A Fourier-transform infrared (FTIR) analysis of a reference acetone sample.
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in High-Temperature Failure by Perforation of Incoloy 800H Pigtails in Reformer Furnaces
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1992
Fig. 2 Metallographic sample (a) and tensile test specimen (b) from the pigtail tubing.
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in Hydrogen-Induced Cracking of Welded Truss Gusset Plates
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1992
Fig. 1 Diagram showing locatons of samples taken trom the two plates.
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in Hydrogen-Induced Cracking of Welded Truss Gusset Plates
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1992
Fig. 5 SEM fractograph of sample A1H, showing intergranular microcracks. 666×.
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in Hydrogen-Induced Cracking of Welded Truss Gusset Plates
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1992
Fig. 6 SEM fractograph of sample A2V, showing intergranular microcracks typical of hydrogen-assisted cracking. 134×.
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in Failure of Grade J-55 Electric Resistance Welded Production Tubing
> Handbook of Case Histories in Failure Analysis
Published: 01 December 1992
Fig. 1 View of split in as-received tubing sample 1. ∼0.39×.
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