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Research Papers: Contact Mechanics

Effect of Crack Patterns on the Stress Distribution of Hard Chromium Coatings Under Sliding Contact: Stochastic Modeling Approach

[+] Author and Article Information
Nicolas S. Fochesatto

Department of Engineering,
Universidad Nacional del Sur;
CONICET,
Bahía Blanca 8000, Argentina
e-mail: nicolas.fochesatto@uns.edu.ar

Fernando S. Buezas

Department of Physics,
Universidad Nacional del Sur;
CONICET,
Bahía Blanca 8000, Argentina

Marta B. Rosales, Walter R. Tuckart

Department of Engineering,
Universidad Nacional del Sur;
CONICET,
Bahía Blanca 8000, Argentina

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 23, 2016; final manuscript received February 14, 2017; published online June 7, 2017. Assoc. Editor: Sinan Muftu.

J. Tribol 139(6), 061401 (Jun 07, 2017) (10 pages) Paper No: TRIB-16-1294; doi: 10.1115/1.4036181 History: Received September 23, 2016; Revised February 14, 2017

In this work, the influence of different crack arrangements in the stress distribution of hard chromium (HC) coatings was determined. Three parameters for position and length of the cracks for two different types of coatings were probabilistically modeled based on measured scanning electron microscopy (SEM) images. Probability density functions (PDF) for those parameters were obtained to characterize each kind of coating. A two-dimensional finite element (FE) model of the coating in contact with a rigid disk was developed, modeling cracks with elliptical shapes. A Monte Carlo method was used to simulate different crack distributions for each kind of coating, and values of stress and strains in the domain were obtained. Both the J-integral and the stress intensity factors (SIFs) were taken as comparative parameters of the results. Coatings which statistically present larger quantities of shorter cracks have lower values of J-integral and SIFs, and, therefore, distribute stresses better than those with low density of longer cracks.

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References

Tyler, J. M. , 1995, “ Automotive Applications for Chromium,” Met. Finish., 93(10), pp. 11–14. [CrossRef]
Lausmann, G. A. , 1996, “ Electrolytically Deposited Hardchrome,” Surf. Coat. Technol., 86–87(Pt. 2), pp. 814–820. [CrossRef]
Simão, J. , and Aspinwall, D. K. , 1999, “ Hard Chromium Plating of EDT Mill Work Rolls,” J. Mater. Process. Technol., 92–93, pp. 281–287. [CrossRef]
De Mello, J. D. B. , Gonçalves, J. L. Jr., and Costa, H. L. , 2013, “ Influence of Surface Texturing and Hard Chromium Coating on the Wear of Steels Used in Cold Rolling Mill Rolls,” Wear, 302(1–2), pp. 1295–1309. [CrossRef]
Jones, A. R. , 1989, “ Microcrack in Hard Chromium Electrodeposits,” Plat. Surf. Finish., 76(4), pp. 62–66.
Pina, J. , Dias, A. , Francois, M. , and Lebrun, J. L. , 1997, “ Residual Stresses and Crystallographic Texture in Hard-Chromium Electroplated Coatings,” Surf. Coat. Technol., 96, pp. 148–162. [CrossRef]
Jones, A. R. , 1992, “ Hard Chromium: Microcrack Formation and Sliding Wear,” Trans. Inst. Met. Finish., 70(1), pp. 8–13. [CrossRef]
Pereira, M. , Jacobus, H. , and Voorwald, C. , 2008, “ The Significance and Determination by Image Analysis of Microcrack Density in Hard Chromium Plating,” Plat. Surf. Finish., 95(4), pp. 36–42.
Gines, M. , Tuckart, W. , and Abraham, S. , 2010, “ Dry Sliding Wear Behavior of Hard Chromium and Nickel-Based Coatings in Ball on Ring Test,” First International Brazilian Conference on Tribology (TriboBR), Rio de Janeiro, Brazil, Nov. 24–26, pp. 287–298.
Martyak, N. M. , and McCaskie, J. E. , 1995, “ Surface Structures of Electrodeposited Chromium,” J. Mater. Sci. Lett., 14(19), pp. 1329–1331. [CrossRef]
Wakuda, M. , Yamauchi, Y. , Kanzaki, S. , and Yasuda, Y. , 2003, “ Effect of Surface Texturing on Friction Reduction Between Ceramic and Steel Materials Under Lubricated Sliding Contact,” Wear, 254(3–4), pp. 356–363. [CrossRef]
Bennani, H. H. , and Takadoum, J. , 1999, “ Finite Element Model of Elastic Stresses in Thin Coatings Submitted to Applied Forces,” Surf. Coat. Technol., 111(1), pp. 80–85. [CrossRef]
Holmberg, K. , Laukkanen, A. , Ronkainen, H. , Wallin, K. , Varjus, S. , and Koskinen, J. , 2006, “ Tribological Contact Analysis of a Rigid Ball Sliding on a Hard Coated Surface—Part I: Modelling Stresses and Strains,” Surf. Coat. Technol., 200(12–13), pp. 3824–3844.
Holmberg, K. , Ronkainen, H. , Laukkanen, A. , and Wallin, K. , 2007, “ Friction and Wear of Coated Surfaces—Scales, Modelling and Simulation of Tribomechanisms,” Surf. Coat. Technol., 202(4–7), pp. 1034–1049. [CrossRef]
Holmberg, K. , Ronkainen, H. , Laukkanen, A. , Wallin, K. , Erdemir, A. , and Eryilmaz, O. , 2008, “ Tribological Analysis of TiN and DLC Coated Contacts by 3D FEM Modelling and Stress Simulation,” Wear, 264(9–10), pp. 877–884. [CrossRef]
Laukkanen, A. , Holmberg, K. , Koskinen, J. , Ronkainen, H. , Wallin, K. , and Varjus, S. , 2006, “ Tribological Contact Analysis of a Rigid Ball Sliding on a Hard Coated Surface—Part III: Fracture Toughness Calculation and Influence of Residual Stresses,” Surf. Coat. Technol., 200(12–13), pp. 3824–3844. [CrossRef]
Laukkanen, A. , Holmberg, K. , Ronkainen, H. , and Wallin, K. , 2011, “ Cohesive Zone Modeling of Initiation and Propagation of Multiple Cracks in Hard Thin Surface Coatings,” J. ASTM Int., 8(1), pp. 1–21. [CrossRef]
Holmberg, K. , Laukkanen, A. , Ghabchi, A. , Rombouts, M. , Turunen, E. , Waudby, R. , Suhonen, T. , Valtonen, K. , and Sarlin, E. , 2014, “ Computational Modelling Based Wear Resistance Analysis of Thick Composite Coatings,” Tribol. Int., 72, pp. 13–30. [CrossRef]
Tobi, A. L. M. , Shipway, P. H. , and Leen, S. B. , 2013, “ Finite Element Modelling of Brittle Fracture of Thick Coatings Under Normal and Tangential Loading,” Tribol. Int., 58, pp. 29–39. [CrossRef]
Zhou, K. , and Wei, R. , 2014, “ Modeling Cracks and Inclusions Near Surfaces Under Contact Loading,” Int. J. Mech. Sci., 83, pp. 163–171. [CrossRef]
Wei, R. , Zhou, K. , Keer, L. M. , and Fan, Q. , 2016, “ Modeling Surface Pressure, Interfacial Stresses and Stress Intensity Factors for Layered Materials Containing Multiple Cracks and Inhomogeneous Inclusions Under Contact Loading,” Mech. Mater., 92, pp. 8–17. [CrossRef]
Sargent, G. J. , 1920, “ Electrolytic Chromium,” Trans. Am. Electrochem. Soc., 37, pp. 479–497.
Schneider, C. A. , Rasband, W. S. , and Eliceiri, K. W. , 2012, “ NIH Image to ImageJ: 25 Years of Image Analysis,” Nat. Methods, 9(7), pp. 671–675. [CrossRef] [PubMed]
MATLAB, 2010, “ MATLAB and Statistics Toolbox Release 2010a,” The MathWorks Inc., Natick, MA.
Rubinstein, R. Y. , and Kroese, D. P. , 2008, Simulation and the Monte Carlo Method, 2nd ed., Wiley, New York.
COMSOL, 2013, “ Comsol Multiphysics v 4.4,” Comsol Inc., Burlington, MA.
Wriggers, P. , 2006, Computational Contact Mechanics, 2nd ed., Springer-Verlag, Berlin.
ASM International Handbook Committee, ed., 1990, ASM Handbook (Properties and Selection: Irons, Steels, and High-Performance Alloys), 10th ed., Vol. 1, ASM International, Materials Park, OH.
ASM International Handbook Committee, ed., 1990, ASM Handbook (Properties and Selection: Nonferrous Alloys and Special-Purpose Materials), 10th ed., Vol. 2, ASM International, Materials Park, OH.
Gear, C. W. , 1971, “ Simultaneous Numerical Solution of Differential-Algebraic Equations,” IEEE Trans. Circuit Theory, 18(1), pp. 89–95. [CrossRef]
COMSOL, 2013, “ Comsol Reference Manual,” Comsol Inc., Burlington, MA.
Milne, I. , Ritchie, R. O. , and Karihaloo, B. , 2003, Comprehensive Structural Integrity: Numerical and Computational Methods, Vol. 3, Elsevier, London.
Rice, J. R. , 1968, “ A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35(2), pp. 379–386. [CrossRef]
Ishikawa, H. , Kitagawa, H. , and Okamura, H. , 1979, “ J Integral of a Mixed Mode Crack and Its Application,” Mech. Behav. Mater., 3, pp. 447–455.
Bui, H. D. , 1983, “ Associated Path Independent J-Integrals for Separating Mixed Modes,” J. Mech. Phys. Solids, 31(6), pp. 439–448. [CrossRef]
Scrucca, L. , 2001, “ Nonparametric Kernel Smoothing Methods. The sm Library in Xlisp-Stat,” J. Stat. Software, 6(7), pp. 1–49. [CrossRef]

Figures

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Fig. 1

Cross-sectional SEM micrographs of samples: (a) conventional chromium plating bath sample and (b) nonfluoride catalyst-containing chromium plating bath sample

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Fig. 2

Sketch of parameters of crack distribution

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Fig. 3

Histograms and fitting distributions for S1 samples

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Fig. 4

Histograms and fitting distributions for S2 samples

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Fig. 5

Geometry created in FE software (coordinate axes in mm): (a) domain geometry and (b) crack geometry and mesh

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Fig. 6

Ball-on-cylinder configuration for COF estimation

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Fig. 8

Geometry of the crack distribution for a realization: (a) sample S1 and (b) sample S2

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Fig. 9

PDF of studied variables at different times

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Fig. 10

Evolution of PDFs of the studied variables

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Fig. 11

Evolution of mean and 95% envelope of the studied variables

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