Identification of the elastic-plastic properties of CrN coating on elastic-plastic substrate by nanoindentation using finite element method-reverse algorithm
•Nanoindentation of CrN coatings deposited at different substrate bias voltages.•A trust-region algorithm is used to predict the tensile properties of the coating.•The uniqueness issue is addressed by narrowing the range of the initial guess.•The stress-strains coating characteristics were accuratel...
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| Published in | Thin solid films Vol. 756; p. 139356 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
31.08.2022
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0040-6090 1879-2731 1879-2731 |
| DOI | 10.1016/j.tsf.2022.139356 |
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| Abstract | •Nanoindentation of CrN coatings deposited at different substrate bias voltages.•A trust-region algorithm is used to predict the tensile properties of the coating.•The uniqueness issue is addressed by narrowing the range of the initial guess.•The stress-strains coating characteristics were accurately generated.
This paper proposes an identification methodology based on nanoindentation analysis of coating/substrate system to extract the elastic-plastic properties of coating materials on elastic-plastic substrate when the indenter penetration depth is greater than the film thickness. In order to accurately predict the elastic-plastic properties of the coating materials, a trust-region reflective optimization algorithm is integrated with the finite element analysis, in cooperation with the Jönsson and Hogmark model. The proposed reverse analysis algorithm modifies a predicted load-displacement (P-h) curve by changing the elastic-plastic properties of the coating and the substrate until it fits the experimental nanoindentation (P-h) curve. Numerical and instrumental indentations tests were carried out on a CrN film/Martensitic stainless steel substrate system to verify the proposed reverse method, by which Young's modulus (E), yield stress (σy), and work hardening exponent of the film were obtained. A sensitivity analysis is conducted to study the effect of the elastic-plastic properties of the CrN film/substrate on the (P-h) curve. The results showed a high impact to the loading and unloading part of the (P-h) curve due to variations in (E) and (σy) of the steel substrate compared to those of the CrN coating. |
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| AbstractList | This paper proposes an identification methodology based on nanoindentation analysis of coating/substrate system to extract the elastic-plastic properties of coating materials on elastic-plastic substrate when the indenter penetration depth is greater than the film thickness. In order to accurately predict the elastic-plastic properties of the coating materials, a trust-region reflective optimization algorithm is integrated with the finite element analysis, in cooperation with the Jönsson and Hogmark model. The proposed reverse analysis algorithm modifies a predicted load-displacement (P-h) curve by changing the elastic-plastic properties of the coating and the substrate until it fits the experimental nanoindentation (P-h) curve. Numerical and instrumental indentations tests were carried out on a CrN film/Martensitic stainless steel substrate system to verify the proposed reverse method, by which Young's modulus (E), yield stress (σy), and work hardening exponent of the film were obtained. A sensitivity analysis is conducted to study the effect of the elastic-plastic properties of the CrN film/substrate on the (P-h) curve. The results showed a high impact to the loading and unloading part of the (P-h) curve due to variations in (E) and (σy) of the steel substrate compared to those of the CrN coating. •Nanoindentation of CrN coatings deposited at different substrate bias voltages.•A trust-region algorithm is used to predict the tensile properties of the coating.•The uniqueness issue is addressed by narrowing the range of the initial guess.•The stress-strains coating characteristics were accurately generated. This paper proposes an identification methodology based on nanoindentation analysis of coating/substrate system to extract the elastic-plastic properties of coating materials on elastic-plastic substrate when the indenter penetration depth is greater than the film thickness. In order to accurately predict the elastic-plastic properties of the coating materials, a trust-region reflective optimization algorithm is integrated with the finite element analysis, in cooperation with the Jönsson and Hogmark model. The proposed reverse analysis algorithm modifies a predicted load-displacement (P-h) curve by changing the elastic-plastic properties of the coating and the substrate until it fits the experimental nanoindentation (P-h) curve. Numerical and instrumental indentations tests were carried out on a CrN film/Martensitic stainless steel substrate system to verify the proposed reverse method, by which Young's modulus (E), yield stress (σy), and work hardening exponent of the film were obtained. A sensitivity analysis is conducted to study the effect of the elastic-plastic properties of the CrN film/substrate on the (P-h) curve. The results showed a high impact to the loading and unloading part of the (P-h) curve due to variations in (E) and (σy) of the steel substrate compared to those of the CrN coating. |
| ArticleNumber | 139356 |
| Author | Montagne, Alex Aouadi, Khalil Nouveau, Corinne Besnard, Aurélien Ben Ammar, Y. |
| Author_xml | – sequence: 1 givenname: Y. orcidid: 0000-0002-9489-3027 surname: Ben Ammar fullname: Ben Ammar, Y. email: yamen_benammar@yahoo.fr organization: Laboratoire de recherche LR18ES45 sis à l'institut préparatoire aux études d'Ingénieur de Nabeul, Université de Carthage, Campus Universitaire, 8000 Mrezga, Tunisia – sequence: 2 givenname: Khalil surname: Aouadi fullname: Aouadi, Khalil organization: Applied Mechanics and Systems Research Laboratory (LR03ES06), Tunisia Polytechnic School, University of Carthage, BP 743, Rue El Khawarizmi, La Marsa 2078, Tunisia – sequence: 3 givenname: Corinne orcidid: 0000-0002-5552-2020 surname: Nouveau fullname: Nouveau, Corinne organization: Arts et Metiers Institute of Technology, LABOMAP, HESAM Université, UBFC, F-71250 Cluny, France – sequence: 4 givenname: Aurélien orcidid: 0000-0002-8070-7000 surname: Besnard fullname: Besnard, Aurélien organization: Arts et Metiers Institute of Technology, LABOMAP, HESAM Université, UBFC, F-71250 Cluny, France – sequence: 5 givenname: Alex surname: Montagne fullname: Montagne, Alex organization: Arts et Metiers Institute of Technology, MSMP, 8, Rue Boulevard Louis XIV, Lille Cedex 59046, France |
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| Keywords | Film/substrate system Elasto-plastic properties Inverse finite element material modelling Substrate effect Instrumented-indentation testing Composite hardness modeling |
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| Snippet | •Nanoindentation of CrN coatings deposited at different substrate bias voltages.•A trust-region algorithm is used to predict the tensile properties of the... This paper proposes an identification methodology based on nanoindentation analysis of coating/substrate system to extract the elastic-plastic properties of... |
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| SubjectTerms | Composite hardness modeling Elasto-plastic properties Engineering Sciences Film/substrate system Instrumented-indentation testing Inverse finite element material modelling Mechanics Mechanics of materials Substrate effect |
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| Title | Identification of the elastic-plastic properties of CrN coating on elastic-plastic substrate by nanoindentation using finite element method-reverse algorithm |
| URI | https://dx.doi.org/10.1016/j.tsf.2022.139356 https://hal.science/hal-03770748 http://hdl.handle.net/10985/22516 |
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