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Title: FEM Modeling of In-Plane Stress Distribution in Thick Brittle Coatings/Films on Ductile Substrates Subjected to Tensile Stress to Determine Interfacial Strength

Abstract

The ceramic-metal interface is present in various material structures and devices that are vulnerable to failures, like cracking, which are typically due to their incompatible properties, e.g., thermal expansion mismatch. In failure of these multilayer systems, interfacial shear strength is a good measure of the robustness of interfaces, especially for planar films. There is a widely-used shear lag model and method by Agrawal and Raj to analyse and measure the interfacial shear strength of thin brittle film on ductile substrates. The use of this classical model for a type of polymer derived ceramic coatings (thickness ~18 μm) on steel substrate leads to high values of interfacial shear strength. Here, we present finite element simulations for such a coating system when it is subjected to in-plane tension. Results show that the in-plane stresses in the coating are non-uniform, i.e., varying across the thickness of the film. Therefore, they do not meet one of the basic assumptions of the classical model: uniform in-plane stress. Furthermore, effects of three significant parameters, film thickness, crack spacing, and Young’s modulus, on the in-plane stress distribution have also been investigated. ‘Thickness-averaged In-plane Stress’ (TIS), a new failure criterion, is proposed for estimating the interfacial shear strength,more » which leads to a more realistic estimation of the tensile strength and interfacial shear strength of thick brittle films/coatings on ductile substrates.« less

Authors:
ORCiD logo [1];  [2];  [3]
  1. Aerospace Research Inst of Materials & Processing Technologies, Beijing (China)
  2. Shanghai Univ. (China). Research Center for Composite Materials, School of Materials Science and Engineering
  3. Clemson Univ., SC (United States). Dept. of Materials Science and Engineering
Publication Date:
Research Org.:
Univ. of Washington Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Nuclear Energy (NE)
OSTI Identifier:
1510461
Grant/Contract Number:  
FE0023142
Resource Type:
Accepted Manuscript
Journal Name:
Materials
Additional Journal Information:
Journal Volume: 11; Journal Issue: 4; Journal ID: ISSN 1996-1944
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; polymer derived ceramic coatings; FEM modelling; thick films; in-plane Stress; interfacial shear strength; crack density

Citation Formats

Wang, Kaishi, Zhang, Fangzhou, and Bordia, Rajendra. FEM Modeling of In-Plane Stress Distribution in Thick Brittle Coatings/Films on Ductile Substrates Subjected to Tensile Stress to Determine Interfacial Strength. United States: N. p., 2018. Web. doi:10.3390/ma11040497.
Wang, Kaishi, Zhang, Fangzhou, & Bordia, Rajendra. FEM Modeling of In-Plane Stress Distribution in Thick Brittle Coatings/Films on Ductile Substrates Subjected to Tensile Stress to Determine Interfacial Strength. United States. https://doi.org/10.3390/ma11040497
Wang, Kaishi, Zhang, Fangzhou, and Bordia, Rajendra. Tue . "FEM Modeling of In-Plane Stress Distribution in Thick Brittle Coatings/Films on Ductile Substrates Subjected to Tensile Stress to Determine Interfacial Strength". United States. https://doi.org/10.3390/ma11040497. https://www.osti.gov/servlets/purl/1510461.
@article{osti_1510461,
title = {FEM Modeling of In-Plane Stress Distribution in Thick Brittle Coatings/Films on Ductile Substrates Subjected to Tensile Stress to Determine Interfacial Strength},
author = {Wang, Kaishi and Zhang, Fangzhou and Bordia, Rajendra},
abstractNote = {The ceramic-metal interface is present in various material structures and devices that are vulnerable to failures, like cracking, which are typically due to their incompatible properties, e.g., thermal expansion mismatch. In failure of these multilayer systems, interfacial shear strength is a good measure of the robustness of interfaces, especially for planar films. There is a widely-used shear lag model and method by Agrawal and Raj to analyse and measure the interfacial shear strength of thin brittle film on ductile substrates. The use of this classical model for a type of polymer derived ceramic coatings (thickness ~18 μm) on steel substrate leads to high values of interfacial shear strength. Here, we present finite element simulations for such a coating system when it is subjected to in-plane tension. Results show that the in-plane stresses in the coating are non-uniform, i.e., varying across the thickness of the film. Therefore, they do not meet one of the basic assumptions of the classical model: uniform in-plane stress. Furthermore, effects of three significant parameters, film thickness, crack spacing, and Young’s modulus, on the in-plane stress distribution have also been investigated. ‘Thickness-averaged In-plane Stress’ (TIS), a new failure criterion, is proposed for estimating the interfacial shear strength, which leads to a more realistic estimation of the tensile strength and interfacial shear strength of thick brittle films/coatings on ductile substrates.},
doi = {10.3390/ma11040497},
journal = {Materials},
number = 4,
volume = 11,
place = {United States},
year = {Tue Mar 27 00:00:00 EDT 2018},
month = {Tue Mar 27 00:00:00 EDT 2018}
}

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Works referenced in this record:

Measurement of the interfacial mechanical properties of a thin ceramic coating on ductile substrates
journal, August 1997


Study on the deformation mechanics of hard brittle coatings on ductile substrates using in-situ tensile testing and cohesive zone FEM modeling
journal, August 2012


Mechanical properties of polymer-derived ceramic composite coatings on steel
journal, January 2008


On the interface debond at the edge of a thin film on a thick substrate
journal, March 2002


An explicit elastic solution for a brittle film with periodic cracks
journal, September 2008

  • Yin, H. M.; Paulino, G. H.; Buttlar, W. G.
  • International Journal of Fracture, Vol. 153, Issue 1
  • DOI: 10.1007/s10704-008-9286-3

Measurement of the ultimate shear strength of a metal-ceramic interface
journal, April 1989


Ultimate shear strengths of copper-silica and nickel-silica interfaces
journal, June 1990


Mixed Mode Cracking in Layered Materials
book, January 1991


Kinking of a Crack out of an Interface: Role of In-Plane Stress
journal, April 1991


A tensile-film-cracking model for evaluating interfacial shear strength of elastic film on ductile substrate
journal, April 2000


Microextensometry, the peel test, and the influence of adherend thickness on the measurement of adhesive fracture energy
journal, June 1998


High performance environmental barrier coatings, Part II: Active filler loaded SiOC system for superalloys
journal, December 2011


Coating adherence in galvanized steel assessed by acoustic emission wavelet analysis
journal, May 2005


Conversion behaviour and resulting mechanical properties of polysilazane-based coatings
journal, July 2012


Composite polymer derived ceramic system for oxidizing environments
journal, July 2006

  • Torrey, Jessica D.; Bordia, Rajendra K.; Henager, Charles H.
  • Journal of Materials Science, Vol. 41, Issue 14
  • DOI: 10.1007/s10853-006-0242-1

High performance environmental barrier coatings, Part I: Passive filler loaded SiCN system for steel
journal, December 2011


Fracture saturation and critical thickness in layered materials
journal, April 2010


The fracture resistance of metal-ceramic interfaces
journal, January 1992


Cracking of thin films bonded to elastic-plastic substrates
journal, September 1996


A new experimental approach for evaluating the mechanical integrity of interfaces between hard coatings and substrates
journal, January 2014

  • Chen, Ke; Mu, Yang; Meng, W. J.
  • MRS Communications, Vol. 4, Issue 1
  • DOI: 10.1557/mrc.2014.3

Evaluation of interfacial shear strength and residual stress of sol–gel derived fluoridated hydroxyapatite coatings on Ti6Al4V substrates
journal, August 2007


Interfacial mechanical properties and fracture morphology of a TiN-coated steel wire upon tensile loading
journal, January 2000


Polymer Derived Engineering Ceramics
journal, June 2000


Advanced coatings on the basis of Si(C)N precursors for protection of steel against oxidation
journal, July 2009


The thermomechanical integrity of thin films and multilayers
journal, July 1995


Interfacial shear strength of diamond-like carbon coatings deposited on metals
journal, May 1995

  • Bentzon, M. D.; Barholm-Hansen, C.; Hansen, J. Bindslev
  • Diamond and Related Materials, Vol. 4, Issue 5-6
  • DOI: 10.1016/0925-9635(94)05227-1

Cracking and decohesion of a thin Al2O3 film on a ductile Al–5%Mg substrate
journal, January 2005


Polymer-Derived Ceramics: 40 Years of Research and Innovation in Advanced Ceramics: Polymer-Derived Ceramics
journal, June 2010


Edge effects in thin film delamination
journal, January 2001


The fracture resistance of a model metal/ceramic interface
journal, December 1991


Processing of Polymer-Derived Ceramic Composite Coatings on Steel: Polymer-Derived Ceramic Composite Coatings
journal, December 2007


Evolving crack patterns in thin films with the extended finite element method
journal, May 2003


Measurement of fracture toughness and interfacial shear strength of hard and brittle Cr coating on ductile steel substrate
journal, September 2008


The fracture resistance of metal-ceramic interfaces
journal, April 1993


An explicit elastic solution for a brittle film with periodic cracks
journal, September 2008

  • Yin, H. M.; Paulino, G. H.; Buttlar, W. G.
  • International Journal of Fracture, Vol. 153, Issue 1
  • DOI: 10.1007/s10704-008-9286-3

Interfacial shear strength of diamond-like carbon coatings deposited on metals
journal, May 1995

  • Bentzon, M. D.; Barholm-Hansen, C.; Hansen, J. Bindslev
  • Diamond and Related Materials, Vol. 4, Issue 5-6
  • DOI: 10.1016/0925-9635(94)05227-1

The fracture resistance of a model metal/ceramic interface
journal, December 1991


Evaluation of interfacial shear strength and residual stress of sol–gel derived fluoridated hydroxyapatite coatings on Ti6Al4V substrates
journal, August 2007


Fracture saturation and critical thickness in layered materials
journal, April 2010


Mechanical properties of polymer-derived ceramic composite coatings on steel
journal, January 2008


High performance environmental barrier coatings, Part I: Passive filler loaded SiCN system for steel
journal, December 2011


Coating adherence in galvanized steel assessed by acoustic emission wavelet analysis
journal, May 2005


Study on the deformation mechanics of hard brittle coatings on ductile substrates using in-situ tensile testing and cohesive zone FEM modeling
journal, August 2012


Characterization and adhesion strength study of Zn coatings electrodeposited on steel substrates
journal, June 1998


A comparative study of adhesion test methods for hard coatings
journal, March 1999


Processing of Polymer-Derived Ceramic Composite Coatings on Steel: Polymer-Derived Ceramic Composite Coatings
journal, December 2007


Polymer-Derived Ceramics: 40 Years of Research and Innovation in Advanced Ceramics: Polymer-Derived Ceramics
journal, June 2010


Evaluation of interface adhesion of hot-dipped zinc coating on TRIP steel with tensile testing and finite element calculation
conference, April 2015

  • Song, G. M.; De Hosson, J. Th. M.; Sloof, W. G.
  • CONTACT AND SURFACE 2015, WIT Transactions on Engineering Sciences
  • DOI: 10.2495/secm150011

Works referencing / citing this record:

Screening Scheme Evaluation of the Assembly Process Based on the Stress-Strength Model and Defect Stream Analysis
journal, June 2018

  • Huang, Yubing; Dai, Wei; Liu, Lianxi
  • Entropy, Vol. 20, Issue 6
  • DOI: 10.3390/e20060447