Fitting probability distribution functions to saturation crack spacing distribution in substrate plastic straining test for thin films and coatings

AA Ogwu, P Colleran, PD Maguire, P Lemoine, JAD McLaughlin

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6 Citations (Scopus)

Abstract

Various approximations involving computer simulation, and the ab initio assumption of a suitable probability distribution prior to simulation, have been suggested in the literature for determining the critical crack spacing at saturation in the substrate plastic straining test for films or coatings on metallic substrates, i.e when the detachment of films from substrate occurs. An experimental investigation of silicon modified DLC films on steel substrates (304 stainless and mild steel) has employed a simple statistical procedure which reveals a very good match between the saturation crack spacing frequency distribution and the two parameter Weibull distribution function. This allows faster determination of the mean crack spacing distribution and eliminates the need for a further computer simulation stage in the analysis as is currently adopted in the literature. The approach reported is simpler and is applicable to the treatment of crack spacing frequency distributions matching other probability functions. Copyright Maney Publishing 2002
LanguageEnglish
Pages277-282
JournalSurface Engineering
Volume18
Issue number4
DOIs
Publication statusPublished - 2002

Fingerprint

probability distribution functions
Probability distributions
Distribution functions
plastics
cracks
spacing
Plastics
Cracks
saturation
coatings
Thin films
Coatings
frequency distribution
Substrates
thin films
computerized simulation
steels
Weibull distribution
Steel
Computer simulation

Cite this

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title = "Fitting probability distribution functions to saturation crack spacing distribution in substrate plastic straining test for thin films and coatings",
abstract = "Various approximations involving computer simulation, and the ab initio assumption of a suitable probability distribution prior to simulation, have been suggested in the literature for determining the critical crack spacing at saturation in the substrate plastic straining test for films or coatings on metallic substrates, i.e when the detachment of films from substrate occurs. An experimental investigation of silicon modified DLC films on steel substrates (304 stainless and mild steel) has employed a simple statistical procedure which reveals a very good match between the saturation crack spacing frequency distribution and the two parameter Weibull distribution function. This allows faster determination of the mean crack spacing distribution and eliminates the need for a further computer simulation stage in the analysis as is currently adopted in the literature. The approach reported is simpler and is applicable to the treatment of crack spacing frequency distributions matching other probability functions. Copyright Maney Publishing 2002",
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T1 - Fitting probability distribution functions to saturation crack spacing distribution in substrate plastic straining test for thin films and coatings

AU - Ogwu, AA

AU - Colleran, P

AU - Maguire, PD

AU - Lemoine, P

AU - McLaughlin, JAD

PY - 2002

Y1 - 2002

N2 - Various approximations involving computer simulation, and the ab initio assumption of a suitable probability distribution prior to simulation, have been suggested in the literature for determining the critical crack spacing at saturation in the substrate plastic straining test for films or coatings on metallic substrates, i.e when the detachment of films from substrate occurs. An experimental investigation of silicon modified DLC films on steel substrates (304 stainless and mild steel) has employed a simple statistical procedure which reveals a very good match between the saturation crack spacing frequency distribution and the two parameter Weibull distribution function. This allows faster determination of the mean crack spacing distribution and eliminates the need for a further computer simulation stage in the analysis as is currently adopted in the literature. The approach reported is simpler and is applicable to the treatment of crack spacing frequency distributions matching other probability functions. Copyright Maney Publishing 2002

AB - Various approximations involving computer simulation, and the ab initio assumption of a suitable probability distribution prior to simulation, have been suggested in the literature for determining the critical crack spacing at saturation in the substrate plastic straining test for films or coatings on metallic substrates, i.e when the detachment of films from substrate occurs. An experimental investigation of silicon modified DLC films on steel substrates (304 stainless and mild steel) has employed a simple statistical procedure which reveals a very good match between the saturation crack spacing frequency distribution and the two parameter Weibull distribution function. This allows faster determination of the mean crack spacing distribution and eliminates the need for a further computer simulation stage in the analysis as is currently adopted in the literature. The approach reported is simpler and is applicable to the treatment of crack spacing frequency distributions matching other probability functions. Copyright Maney Publishing 2002

U2 - 10.1179/026708402225006204

DO - 10.1179/026708402225006204

M3 - Article

VL - 18

SP - 277

EP - 282

JO - Surface Engineering

T2 - Surface Engineering

JF - Surface Engineering

SN - 0267-0844

IS - 4

ER -