Identification of Contact Stress on Non-conforming Contact Interface Based on Local Displacement Measurement
Tóm tắt
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.
Tài liệu tham khảo
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
Liu S, Wang Q (2001) A three-dimensional thermomechanical model of contact between nonconforming rough surfaces. J Tribol 123(1):17–26
Johnson KL (1985) Contact mechanics. Cambridge University Press, Cambridge
Chen YC, Tsay CB (2002) Stress analysis of a helical gear set with localized bearing contact. Finite Elem Anal Des 38(8):707–723
Hild P (2000) Numerical implementation of two nonconforming finite element methods for unilateral contact. Comput Methods Appl Mech Eng 184(1):99–123
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
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
Buczkowski R, Kleiber M (2009) Statistical models of rough surfaces for finite element 3D-contact analysis. Arch Comput Meth Eng 16(4):399–424
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
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
Jones IA, Truman CE, Booker JD (2008) Photoelastic investigation of slippage in shrink-fit assemblies. Exp Mech 48(5):621–633
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
Papadopoulos GA (2004) Experimental estimation of the load distribution in bearings by the method of caustics. Exp Mech 44(4):440–443
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
Redner AS (1980) Photoelastic coatings. Exp Mech 20(11):403–408
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
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
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
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
Baldi A (2014) Residual stress analysis of orthotropic materials using integrated digital image correlation. Exp Mech 54(7):1279–1292
Dong J, Liu Z, Gao J (2017) Multi-parameter inversion and thermo-mechanical deformation decoupling using I-DIC. Exp Mech 57(1):31–39
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
Mathieu F, Hild F, Roux S (2012) Identification of a crack propagation law by digital image correlation. Int J Fatigue 36(1):146–154
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
Timoshenko SP, Goodier JN (1970) Theory of elasticity, 3rd edn. McGraw-Hill, New York
Chu TC, Ranson WF, Sutton MA (1985) Applications of digital-image-correlation techniques to experimental mechanics. Exp Mech 25(3):232–244
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
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
Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Mach Intell 8(6):679–698
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