The computation of the elastic contact stresses and particularly the detemination of the change in the von Mises stress from the surface of a coated system, when it is subjected to spherical indentation, constitutes an important aspect of the tribological performance assessment of such system

DUBAR, Laurent

GUÉRIN, J.D.

IOST, Alain

PUCHI-CABRERA, Eli-Saul

STAIA, Mariana

SAM : Science Arts et Métiers

Science Arts & Métiers (SAM)is an open access repository that collects the work of Arts et Métiers Institute ofTechnology researchers and makes it freely available over the web where possible.This is an author-deposited version published in: https://sam.ensam.euHandle ID: .http://hdl.handle.net/10985/11955To cite this version :Eli-Saul PUCHI-CABRERA, Mariana STAIA, J.D. GUÉRIN, Alain IOST, Laurent DUBAR -Mechanical characterization of coated  systems involving multilayer films - 2016Any correspondence concerning this service should be sent to the repositoryAdministrator : archiveouverte@ensam.eu501001502002500 500 1000 1500 2000Elastic  modulus,  GPaPenetration  depth,  nma-C:Cr, Si / CrCSi / M42 steelEDLC =  115  GPaECrCSi =  203  GPaESubst. =  210  GPaDoerner  and  Nix ModelMean  experimental  curve01002003004001000 10000von  Mises  stress,  MPaDistance  from the  surface,  nma-C: Cr, Si / CrSiC / M42  steelDCLCrSiCM42  steel substrateLoad  =  1  N

Mechanical characterization of coated  systems involving multilayer films

SAM;  the Arts et Métiers ParisTech open access repository

Science Arts & Métiers (SAM)
is an open access repository that collects the work of Arts et Métiers ParisTech
researchers and makes it freely available over the web where possible.
This is an author-deposited version published in: https://sam.ensam.eu
Handle ID: .http://hdl.handle.net/10985/11955
To cite this version :
Eli-Saul PUCHI-CABRERA, Mariana STAIA, J.D. GUÉRIN, Alain IOST, Laurent DUBAR -
Mechanical characterization of coated  systems involving multilayer films - 2016
Any correspondence concerning this service should be sent to the repository
Administrator : archiveouverte@ensam.eu
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/Ŷ ƚŚĞ ĐĂƐĞ ŽĨ ĐŽĂƚĞĚ ƐǇƐƚĞŵƐ ŝŶǀŽůǀŝŶŐ ŵƵůƚŝůĂǇĞƌ ĨŝůŵƐ ƚŚŝƐ ƚĂƐŬ ŝŵƉůŝĞƐ Ă ĨƵŶĚĂŵĞŶƚĂů
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ĐŽŵƉŽƐĞƚŚĞĐŽĂƚĞĚƐǇƐƚĞŵ͘ŽŶƐĞƋƵĞŶƚůǇ͕ƚŚĞĐŽŵƉƵƚĂƚŝŽŶŽĨƚŚĞĐŚĂŶŐĞ ŝŶƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐ
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ĂƌĐŚŝƚĞĐƚƵƌĞ͕ ƌĂƚŚĞƌ ƚŚĂŶ ĂƐƐƵŵŝŶŐ ƚŚĞ ĞǆŝƐƚĞŶĐĞ ŽĨ Ă ŵŽŶŽůĂǇĞƌ Ĩŝůŵ͘ /Ŷ ƚŚŝƐ ǁĂǇ͕ ŝƚ ǁŽƵůĚ ďĞ
ƉŽƐƐŝďůĞƚŽĐŽŶĚƵĐƚĂƉƌĞĐŝƐĞĂŶĂůǇƐŝƐŽĨƚŚĞĞůĂƐƚŝĐƐƚƌĞƐƐĞƐĚĞǀĞůŽƉĞĚŝŶƚŚĞĐŽĂƚĞĚƐǇƐƚĞŵƵŶĚĞƌ
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100
200
300
400
1000 10000
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 M
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  s
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Distance  from the  surface,  nm
a-C: Cr, Si / CrSiC / M42  steel
DCL
CrSiC
M42  steel substrate
Load  =  1  N


English

Name not available

Science Arts & Métiers (SAM)is an open access repository that collects the work of Arts et Métiers ParisTechresearchers and makes it freely available over the web where possible.This is an author-deposited version published in: http://sam.ensam.euHandle ID: .http://hdl.handle.net/10985/11955To cite this version :Eli-Saul PUCHI-CABRERA, Mariana STAIA, J.D. GUÉRIN, Alain IOST, Laurent DUBAR -Mechanical characterization of coated  systems involving multilayer films - 2016Any correspondence concerning this service should be sent to the repositoryAdministrator : archiveouverte@ensam.euŽůůŽƋƵĞ/ŶĚĞŶƚĂƚŝŽŶϮϬϭϲϭϮʹϭϰKĐƚŽďƌĞϮϬϭϲ>ŝůůĞ'ƌŽƵƉĞĚ͛/ŶĚĞŶƚĂƚŝŽŶDƵůƚŝĐŚĞůůĞEŽƌĚWĂƐͲĚĞͲĂůĂŝƐDĞĐŚĂŶŝĐĂůĐŚĂƌĂĐƚĞƌŝǌĂƚŝŽŶŽĨĐŽĂƚĞĚƐǇƐƚĞŵƐŝŶǀŽůǀŝŶŐŵƵůƚŝůĂǇĞƌĨŝůŵƐ͘^͘WƵĐŚŝͲĂďƌĞƌĂϭ͕D͘,͘^ƚĂŝĂϮ͕:͘͘'ƵĠƌŝŶϭ͕͘/ŽƐƚϯ͕>͘ƵďĂƌϭϭ͗hŶŝǀĞƌƐŝƚĠ>ŝůůĞEŽƌĚĚĞ&ƌĂŶĐĞ͕hs,͕>D/,hDZEZ^ϴϮϬϭ͕&ͲϱϵϯϭϯsĂůĞŶĐŝĞŶŶĞƐ͕&ƌĂŶĐĞϮ͗ƐĐƵĞůĂĚĞ/ŶŐĞŶŝĞƌşĂDĞƚĂůƷƌŐŝĐĂǇŝĞŶĐŝĂĚĞůŽƐDĂƚĞƌŝĂůĞƐ͕hŶŝǀĞƌƐŝĚĂĚĞŶƚƌĂůĚĞsĞŶĞǌƵĞůĂϯ͗ƌƚƐĞƚDĠƚŝĞƌƐWĂƌŝƐdĞĐŚ͕D^DW͕ĞŶƚƌĞĚĞ>ŝůůĞ͕ϴ͕ŽƵůĞǀĂƌĚ>ŽƵŝƐy/s͕ϱϵϬϬϬ>ŝůůĞĞĚĞǆ͕&ƌĂŶĐĞDŽƚƐĐůĠůĂƐƚŝĐŵŽĚƵůƵƐ͕ŵƵůƚŝůĂǇĞƌĐŽĂƚŝŶŐƐ͕ŶĂŶŽŝŶĚĞŶƚĂƚŝŽŶ͕ƐƉŚĞƌŝĐĂůŝŶĚĞŶƚĂƚŝŽŶ͕ĞůĂƐƚŝĐƐƚƌĞƐƐĞƐ/EdZKhd/KEdŚĞ ĐŽŵƉƵƚĂƚŝŽŶ ŽĨ ƚŚĞ ĞůĂƐƚŝĐ ĐŽŶƚĂĐƚ ƐƚƌĞƐƐĞƐ ĂŶĚ ƉĂƌƚŝĐƵůĂƌůǇ ƚŚĞ ĚĞƚĞƌŵŝŶĂƚŝŽŶ ŽĨ ƚŚĞĐŚĂŶŐĞŝŶƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐĨƌŽŵƚŚĞƐƵƌĨĂĐĞŽĨĂĐŽĂƚĞĚƐǇƐƚĞŵ͕ǁŚĞŶŝƚŝƐƐƵďũĞĐƚĞĚƚŽƐƉŚĞƌŝĐĂůŝŶĚĞŶƚĂƚŝŽŶ͕ ĐŽŶƐƚŝƚƵƚĞƐĂŶ ŝŵƉŽƌƚĂŶƚĂƐƉĞĐƚŽĨ ƚŚĞ ƚƌŝďŽůŽŐŝĐĂůƉĞƌĨŽƌŵĂŶĐĞĂƐƐĞƐƐŵĞŶƚŽĨ ƐƵĐŚĂƐǇƐƚĞŵ͘/Ŷ ƚŚĞ ĐĂƐĞ ŽĨ ĐŽĂƚĞĚ ƐǇƐƚĞŵƐ ŝŶǀŽůǀŝŶŐ ŵƵůƚŝůĂǇĞƌ ĨŝůŵƐ ƚŚŝƐ ƚĂƐŬ ŝŵƉůŝĞƐ Ă ĨƵŶĚĂŵĞŶƚĂůƉƌŽďůĞŵ͗ƚŚĞĚĞƐĐƌŝƉƚŝŽŶŽĨďŽƚŚƚŚĞĞůĂƐƚŝĐŵŽĚƵůƵƐĂŶĚWŽŝƐƐŽŶƌĂƚŝŽŽĨƚŚĞĚŝĨĨĞƌĞŶƚůĂǇĞƌƐ͕ǁŚŝĐŚĞŶĐŽŵƉĂƐƐƚŚĞĐŽĂƚĞĚƐǇƐƚĞŵ͕ǁŝƚŚŝŶĚĞŶƚĂƚŝŽŶĚĞƉƚŚ͘/ŶƚŚŝƐǁĂǇ͕ŝƚǁŽƵůĚďĞƉŽƐƐŝďůĞƚŽƐŽůǀĞƚŚĞŶŽŶͲůŝŶĞĂƌ ĞƋƵĂƚŝŽŶ ǁŚŝĐŚ ƌĞůĂƚĞƐ ƚŚĞ ĐŽŶƚĂĐƚ ƌĂĚŝƵƐ͕ ƌĞĚƵĐĞĚ ŵŽĚƵůƵƐ͕ ůŽĂĚ ĂƉƉůŝĞĚ ĂŶĚ ďĂůůĚŝĂŵĞƚĞƌ͕ŝŶŽƌĚĞƌƚŽĐŽŵƉƵƚĞƚŚĞĐŽƌƌĞĐƚǀĂůƵĞŽĨƚŚĞĐŽŶƚĂĐƚƌĂĚŝƵƐ͘ŽŶĐĞƌŶŝŶŐƚŚĞĐŽŵƉƵƚĂƚŝŽŶŽĨWŽŝƐƐŽŶ͛ƐƌĂƚŝŽĨŽƌĂŐŝǀĞŶĐŽŶƚĂĐƚƌĂĚŝƵƐ͕ǁŚŝĐŚŝƐƌĞƋƵŝƌĞĚŝŶŽƌĚĞƌ ƚŽĚĞƚĞƌŵŝŶĞďŽƚŚƚŚĞƉƌŝŶĐŝƉĂůƐƚƌĞƐƐĞƐĂŶĚĐŽŶƐĞƋƵĞŶƚůǇ ƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐ͕Ă,ĞĂǀŝƐŝĚĞƐƚĞƉĨƵŶĐƚŝŽŶĐĂŶďĞƌĞĂĚŝůǇĞŵƉůŽǇĞĚ͘,ŽǁĞǀĞƌ͕ƚŚĞĚĞƐĐƌŝƉƚŝŽŶŽĨƚŚĞĐŚĂŶŐĞŝŶĞůĂƐƚŝĐŵŽĚƵůƵƐŽĨĂŵƵůƚŝůĂǇĞƌĐŽĂƚĞĚƐǇƐƚĞŵŝŵƉůŝĞƐĂŵŽƌĞĞůĂďŽƌĂƚĞĚƉƌŽĐĞĚƵƌĞ͕ĂƐŝŶĚŝĐĂƚĞĚŝŶƚŚĞĨŽƌƚŚĐŽŵŝŶŐ͘,E'/E>^d/DKh>h^t/d,/EEdd/KEWd,&ŝŐƵƌĞϭŝůůƵƐƚƌĂƚĞƐ͕ĂƐĂŶĞǆĂŵƉůĞ͕ƚŚĞĐŚĂŶŐĞŝŶĞůĂƐƚŝĐŵŽĚƵůƵƐǁŝƚŚŝŶĚĞŶƚĂƚŝŽŶĚĞƉƚŚĨŽƌĂĐŽĂƚĞĚƐǇƐƚĞŵŝŶǀŽůǀŝŶŐĂƉƌŽƚŽƚǇƉĞĂͲ͗ƌ͕^ŝͬƌ^ŝĐŽĂƚŝŶŐĚĞƉŽƐŝƚĞĚďǇWsƚĞĐŚŶŝƋƵĞƐ͘&ŝŐƵƌĞϭ͗ŚĂŶŐĞŝŶƚŚĞĞůĂƐƚŝĐŵŽĚƵůƵƐŽĨĂĐŽĂƚĞĚƐǇƐƚĞŵǁŝƚŚŝŶĚĞŶƚĂƚŝŽŶĚĞƉƚŚ501001502002500 500 1000 1500 2000Elastic  modulus,  GPaPenetration  depth,  nma-C:Cr, Si / CrCSi / M42 steelEDLC =  115  GPaECrCSi =  203  GPaESubst. =  210  GPaDoerner  and  Nix ModelMean  experimental  curveŽůůŽƋƵĞ/ŶĚĞŶƚĂƚŝŽŶϮϬϭϲϭϮʹϭϰKĐƚŽďƌĞϮϬϭϲ>ŝůůĞ'ƌŽƵƉĞĚ͛/ŶĚĞŶƚĂƚŝŽŶDƵůƚŝĐŚĞůůĞEŽƌĚWĂƐͲĚĞͲĂůĂŝƐdŚĞĞǆƉĞƌŝŵĞŶƚĂůĚĂƚĂĂƌĞĞŶĐŽŵƉĂƐƐĞĚŝŶĂǁŝĚĞƐĐĂƚƚĞƌďĂŶĚ͘dŚĞƌĞĨŽƌĞ͕ƚŽŐĞƚŚĞƌǁŝƚŚƚŚĞĞǆƉĞƌŝŵĞŶƚĂůĚĂƚĂƉŽŝŶƚƐ͕ƚŚĞŵĞĂŶĞǆƉĞƌŝŵĞŶƚĂůĐƵƌǀĞŚĂƐĂůƐŽďĞĞŶŝŶĐůƵĚĞĚŝŶƚŚĞ&ŝŐƵƌĞ͘dŚƵƐ͕ŝƚŝƐ ƉŽƐƐŝďůĞ ƚŽŵŽĚĞů ƚŚĞ ĐŚĂŶŐĞ ŝŶ ƚŚĞ ĞůĂƐƚŝĐ ŵŽĚƵůƵƐ ŽĨ ƚŚĞ ƐǇƐƚĞŵǁŝƚŚ ŝŶĚĞŶƚĂƚŝŽŶ ĚĞƉƚŚ ďǇŵĞĂŶƐŽĨƚŚĞĞǆƚĞŶĚĞĚǀĞƌƐŝŽŶŽĨĂŶǇŵŽĚĞůĚĞǀĞůŽƉĞĚĨŽƌƐƵĐŚĂƉƵƌƉŽƐĞ͕ŝŶƚŚĞĐĂƐĞŽĨŵŽŶŽůĂǇĞƌĐŽĂƚŝŶŐƐ͘/Ŷ&ŝŐƵƌĞϭ͕ƚŚĞĂƉƉƌŽĂĐŚĞĂƌůŝĞƌƉƌŽƉŽƐĞĚďǇŽĞƌŶĞƌĂŶĚEŝǆ΀ϭ΁ĨŽƌŵŽŶŽůĂǇĞƌĐŽĂƚŝŶŐƐĂŶĚĞǆƚĞŶĚĞĚďǇWƵĐŚŝͲĂďƌĞƌĂĞƚĂů͘΀Ϯ΁ƚŽŵƵůƚŝůĂǇĞƌĐŽĂƚŝŶŐƐ͕ŚĂƐďĞĞŶĞŵƉůŽǇĞĚ͘yWZ/DEd>Z^h>d^&ŝŐƵƌĞϭĐůĞĂƌůǇŝůůƵƐƚƌĂƚĞƐƚŚĂƚƚŚĞĞǆƚĞŶĚĞĚŽĞƌŶĞƌĂŶĚEŝǆŵŽĚĞůŝƐĂďůĞƚŽƌĞƉƌŽĚƵĐĞƋƵŝƚĞĂĐĐƵƌĂƚĞůǇƚŚĞƚƌĞŶĚƐŚŽǁŶďǇƚŚĞŵĞĂŶĞǆƉĞƌŝŵĞŶƚĂůĐƵƌǀĞ͘dŚĞƌĞĨŽƌĞ͕ŝƚƌĞƉƌĞƐĞŶƚƐĂǀĂůƵĂďůĞƚŽŽůĨŽƌ ĚĞƚĞƌŵŝŶŝŶŐ ĂĐĐƵƌĂƚĞ ĂŶĚ ƌĞůŝĂďůĞ ǀĂůƵĞƐ ŽĨ ƚŚĞ ĞůĂƐƚŝĐŵŽĚƵůƵƐ ŽĨ ƚŚĞ ĚŝĨĨĞƌĞŶƚ ůĂǇĞƌƐ͕ ǁŚŝĐŚĐŽŵƉŽƐĞƚŚĞĐŽĂƚĞĚƐǇƐƚĞŵ͘ŽŶƐĞƋƵĞŶƚůǇ͕ƚŚĞĐŽŵƉƵƚĂƚŝŽŶŽĨƚŚĞĐŚĂŶŐĞ ŝŶƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐǁŝƚŚ ĚŝƐƚĂŶĐĞ ĨƌŽŵ ƚŚĞ ƐƵƌĨĂĐĞ ĐĂŶ ďĞ ĐĂƌƌŝĞĚ ŽƵƚ ŽŶ ƚŚĞ ďĂƐŝƐ ŽĨ ƚŚĞ ,ĞƌƚǌŝĂŶ ĞƋƵĂƚŝŽŶƐ͕ ǁŚŝĐŚĐŽƌƌĞƐƉŽŶĚƚŽƚŚĞĞůĂƐƚŝĐĐŽŶƚĂĐƚďĞƚǁĞĞŶĂƐƉŚĞƌŝĐĂůŝŶĚĞŶƚĞƌĂŶĚĂŵƵůƚŝůĂǇĞƌĐŽĂƚŝŶŐ͕ƚĂŬŝŶŐŝŶƚŽĂĐĐŽƵŶƚ ƚŚĞ ƐƚƌĂŝŶ ĐŽŵƉĂƚŝďŝůŝƚǇ Ăƚ ĞĂĐŚ ŝŶƚĞƌĨĂĐĞ͘ dŚƵƐ͕ ƚŚĞ ǀĂůƵĞ ŽĨ ƚŚĞ ĞůĂƐƚŝĐ ŵŽĚƵůƵƐ ĐĂŶ ďĞŝŶƚĞƌƉŽůĂƚĞĚĚŝƌĞĐƚůǇĨƌŽŵƚŚĞƌĞƐƵůƚƐƐŚŽǁŶŝŶ&ŝŐ͘ϭĂŶĚƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐĐŽƵůĚďĞĐŽŵƉƵƚĞĚĨŽƌƚŚĞĞĂĐŚůĂǇĞƌ͘dŚĞƌĞƐƵůƚƐŽĨƚŚĞƐĞĐŽŵƉƵƚĂƚŝŽŶƐĂƌĞƐŚŽǁŶŝŶ&ŝŐ͘ϮĨŽƌϭEŽĨĂƉƉůŝĞĚůŽĂĚ͘&ŝŐ͘Ϯ͗ŚĂŶŐĞŝŶƚŚĞǀŽŶDŝƐĞƐƐƚƌĞƐƐĂƐĂĨƵŶĐƚŝŽŶŽĨƚŚĞĚŝƐƚĂŶĐĞĨƌŽŵƚŚĞƐƵƌĨĂĐĞKE>h^/KE^dŚĞĞůĂƐƚŝĐŵŽĚƵůƵƐŽĨŵƵůƚŝůĂǇĞƌĐŽĂƚŝŶŐƐĐĂŶďĞĐŚĂƌĂĐƚĞƌŝǌĞĚĞǆƉĞƌŝŵĞŶƚĂůůǇďǇŶĂŶŽŝŶĚĞŶƚĂƚŝŽŶƚĞĐŚŶŝƋƵĞƐ ĂŶĚ ŵŽĚĞůĞĚ ďǇ ŵĞĂŶƐ ŽĨ ĚŝĨĨĞƌĞŶƚ ĂƉƉƌŽĂĐŚĞƐ͕ ƚĂŬŝŶŐ ŝŶƚŽ ĂĐĐŽƵŶƚ ƚŚĞŝƌ ĂĐƚƵĂůĂƌĐŚŝƚĞĐƚƵƌĞ͕ ƌĂƚŚĞƌ ƚŚĂŶ ĂƐƐƵŵŝŶŐ ƚŚĞ ĞǆŝƐƚĞŶĐĞ ŽĨ Ă ŵŽŶŽůĂǇĞƌ Ĩŝůŵ͘ /Ŷ ƚŚŝƐ ǁĂǇ͕ ŝƚ ǁŽƵůĚ ďĞƉŽƐƐŝďůĞƚŽĐŽŶĚƵĐƚĂƉƌĞĐŝƐĞĂŶĂůǇƐŝƐŽĨƚŚĞĞůĂƐƚŝĐƐƚƌĞƐƐĞƐĚĞǀĞůŽƉĞĚŝŶƚŚĞĐŽĂƚĞĚƐǇƐƚĞŵƵŶĚĞƌƐƉŚĞƌŝĐĂů ŝŶĚĞŶƚĂƚŝŽŶ͕ ĂƐǁĞůů ĂƐ ĚĞƚĞƌŵŝŶŝŶŐ ƚŚĞŵĂǆŝŵƵŵ ĐŽŶƚĂĐƚ ƉƌĞƐƐƵƌĞ ĂƚǁŚŝĐŚ ƚŚĞ ĐŽĂƚĞĚƐǇƐƚĞŵǁŝůůƉĞƌĨŽƌŵƐĂƚŝƐĨĂĐƚŽƌŝůǇŝŶƐĞƌǀŝĐĞ͘ZĞĨĞƌĞŶĐĞƐ΀ϭ΁D͘&͘ŽĞƌŶĞƌĂŶĚt͘͘Eŝǆϭϵϴϲ͕:ŽƵƌŶĂůŽĨDĂƚĞƌŝĂůƐZĞƐĞĂƌĐŚ͕ϭ͕ϲϬϭͲϲϬϵ͕ϭϵϴϲ͘΀Ϯ΁͘^͘WƵĐŚŝͲĂďƌĞƌĂ͕D͘,͘^ƚĂŝĂĂŶĚ͘/ŽƐƚ͕dŚŝŶ^ŽůŝĚ&ŝůŵƐϱϴϯ͕ϭϳϳʹϭϵϯ͕ϮϬϭϱ͘01002003004001000 10000von  Mises  stress,  MPaDistance  from the  surface,  nma-C: Cr, Si / CrSiC / M42  steelDCLCrSiCM42  steel substrateLoad  =  1  N

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Mechanical characterization of coated systems involving multilayer films

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