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Identification of Contact Stress on Non-conforming Contact Interface Based on Local Displacement Measurement

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Abstract

The experimental identification of contact stress is important in many areas. In this paper, we present an inverse method for identifying the stress distribution on non-conforming contact interface based on local displacement measurements. A mechanical model is established to formulate the relationship between the contact stress and the displacement field near the interface. An optical method, named segmentation-aided digital image correlation is utilized to measure the near-field displacement. The contact stress is then inversed by finding the optimal model that best matches the measurements. Three model parameters, i.e., the contact center, contact length and maximum contact stress, are identified through an optimization procedure. The parameters are initialized by an image processing method and then iteratively refined by minimizing the discrepancy between the model predictions and the measured displacements. Both simulated and real-world experiments are conducted and the results verify the effectiveness of the proposed method.

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References

  1. Wen Z, Wu L, Li W, Jin X, Zhu M (2011) Three-dimensional elastic–plastic stress analysis of wheel–rail rolling contact. Wear 271(1):426–436

    Article  Google Scholar 

  2. Liu S, Wang Q (2001) A three-dimensional thermomechanical model of contact between nonconforming rough surfaces. J Tribol 123(1):17–26

    Article  Google Scholar 

  3. Johnson KL (1985) Contact mechanics. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  4. Chen YC, Tsay CB (2002) Stress analysis of a helical gear set with localized bearing contact. Finite Elem Anal Des 38(8):707–723

    Article  MATH  Google Scholar 

  5. Hild P (2000) Numerical implementation of two nonconforming finite element methods for unilateral contact. Comput Methods Appl Mech Eng 184(1):99–123

    Article  MathSciNet  MATH  Google Scholar 

  6. Song W, Keane A, Rees J, Bhaskar A, Bagnall S (2002) Turbine blade fir-tree root design optimisation using intelligent CAD and finite element analysis. Comput Struct 80(24):1853–1867

    Article  Google Scholar 

  7. Petrov E, Ewins D (2006) Effects of damping and varying contact area at blade-disk joints in forced response analysis of bladed disk assemblies. J Turbomach 128(2):403–410

    Article  Google Scholar 

  8. Buczkowski R, Kleiber M (2009) Statistical models of rough surfaces for finite element 3D-contact analysis. Arch Comput Meth Eng 16(4):399–424

    Article  MathSciNet  MATH  Google Scholar 

  9. Scheibert J, Prevost A, Debrégeas G, Katzav E, Adda-Bedia M (2009) Stress field at a sliding frictional contact: experiments and calculations. J Mech Phys Solids 57(12):1921–1933

    Article  MathSciNet  MATH  Google Scholar 

  10. Kane BJ, Cutkosky MR, Kovacs GT (2000) A traction stress sensor array for use in high-resolution robotic tactile imaging. J Microelectromech Syst 9(4):425–434

    Article  Google Scholar 

  11. Jones IA, Truman CE, Booker JD (2008) Photoelastic investigation of slippage in shrink-fit assemblies. Exp Mech 48(5):621–633

    Article  Google Scholar 

  12. Khaleghian S, Emami A, Tehrani M, Soltani N (2013) Analysis of effective parameters for stress intensity factors in the contact problem between an asymmetric wedge and a half-plane using an experimental method of photoelasticity. Mater Des 43(5):447–453

    Article  Google Scholar 

  13. Papadopoulos GA (2004) Experimental estimation of the load distribution in bearings by the method of caustics. Exp Mech 44(4):440–443

    Google Scholar 

  14. Spitas V, Papadopoulos GA, Spitas C, Costopoulos T (2011) Experimental investigation of load sharing in multiple gear tooth contact using the stress-optical method of caustics. Strain 47(s1):e227–e233

    Article  Google Scholar 

  15. Redner AS (1980) Photoelastic coatings. Exp Mech 20(11):403–408

    Article  Google Scholar 

  16. Nowak TP, Jankowski LJ, Jasieńko J (2010) Application of photoelastic coating technique in tests of solid wooden beams reinforced with CFRP strips. Arch Civ Mech Eng 10(2):53–66

    Article  Google Scholar 

  17. Sutton MA, Orteu J-J, Schreier (2009) HW Image correlation for shape, motion and deformation measurements: basic concepts. In: Theory and applications. Springer, New York

    Google Scholar 

  18. Avril S, Bonnet M, Bretelle AS, Grediac M, Hild F, Ienny P, Pierron F (2008) Overview of identification methods of mechanical parameters based on full-field measurements. Exp Mech 48(4):381–402

    Article  Google Scholar 

  19. Passieux JC, Bugarin F, David C, Périé JN, Robert L (2015) Multiscale displacement field measurement using digital image correlation: application to the identification of elastic properties. Exp Mech 55(1):121–137

    Article  Google Scholar 

  20. Baldi A (2014) Residual stress analysis of orthotropic materials using integrated digital image correlation. Exp Mech 54(7):1279–1292

    Article  Google Scholar 

  21. Dong J, Liu Z, Gao J (2017) Multi-parameter inversion and thermo-mechanical deformation decoupling using I-DIC. Exp Mech 57(1):31–39

    Article  Google Scholar 

  22. Réthoré J, Gravouil A, Morestin F, Combescure A (2005) Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral. Int J Fract 132(1):65–79

    Article  Google Scholar 

  23. Mathieu F, Hild F, Roux S (2012) Identification of a crack propagation law by digital image correlation. Int J Fatigue 36(1):146–154

    Article  Google Scholar 

  24. Sun C, Zhou Y, Chen J, Miao H (2015) Measurement of deformation close to contact Interface using digital image correlation and image segmentation. Exp Mech 55(8):1525–1536

    Article  Google Scholar 

  25. Timoshenko SP, Goodier JN (1970) Theory of elasticity, 3rd edn. McGraw-Hill, New York

    MATH  Google Scholar 

  26. Chu TC, Ranson WF, Sutton MA (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244

    Article  Google Scholar 

  27. Pan B, Qian K, Xie H, Asundi A (2009) Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas Sci Technol 20(6):062001

    Article  Google Scholar 

  28. Shen B, Paulino GH (2011) Direct extraction of cohesive fracture properties from digital image correlation: a hybrid inverse technique. Exp Mech 51(2):143–163

    Article  Google Scholar 

  29. Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Mach Intell 8(6):679–698

    Article  Google Scholar 

  30. Bornert M, Doumalin P, Dupré JC et al (2017) Shortcut in dic error assessment induced by image interpolation used for subpixel shifting. Opt Lasers Eng 91:124–133

    Article  Google Scholar 

Download references

Acknowledgments

This research work is supported by the National Natural Science Foundation of China, Grant No.11502143, No. 11372182 and No. 11472267.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, 200240, China

    C. Sun, Y. Zhou & J. Chen

  2. Key Laboratory of Mechanical Behavior and Design of Materials, Chinese Academy Sciences, University of Science and Technology of China, Hefei, 230026, China

    H. Miao

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  1. C. Sun
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  2. Y. Zhou
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  3. J. Chen
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  4. H. Miao
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Correspondence to Y. Zhou.

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Sun, C., Zhou, Y., Chen, J. et al. Identification of Contact Stress on Non-conforming Contact Interface Based on Local Displacement Measurement. Exp Mech 58, 417–426 (2018). https://doi.org/10.1007/s11340-017-0353-4

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  • DOI: https://doi.org/10.1007/s11340-017-0353-4

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