Evaluation of contact parameters in Hertzian contact from displacement data is studied. Based on complex potential approach, generic explicit equations for displacement field in the vicinity of the contact zones are presented. Methodology for evaluating unknown contact parameters and associated rigid body displacements from the whole field experimental displacement data is implemented using an over-deterministic system of equations in a least squares sense. Usefulness of this method in dealing different contacting geometries is brought out by analyzing different contacting situations using digital image correlation.
JohnsonKL.Contact mechanics. Cambridge: Cambridge University Press, 2003.
2.
HillsDANowellDSackfieldA.Mechanics of elastic contacts. Oxford: Butterworth Heinemann Ltd., 1993.
3.
MuskhelishviliNL.Some basic problems of the mathematical theory of elasticity. 4th ed.Berlin: Springer, 1977.
4.
SackfieldAMugaduAHillsDA.The influence of an edge radius on the local stress field at the edge of a complete fretting contact. Int J Solids Struct2002; 39: 4407–4420.
5.
SmithJOLiuCK.Stresses due to tangential and normal loads on an elastic solid with application to some contact stress problems. J Appl Mech1953; 20: 157–166.
6.
KourkoulisSKMarkidesCFChatzistergosPE.The standardized Brazilian disc test as a contact problem. Int J Rock Mech Min2013; 57: 132–141.
7.
RameshK.Digital photoelasticity: advanced techniques and applications. Berlin, Heidelberg: Springer, 2000.
8.
SuklaANigamHA.Numerical–experimental analysis of the contact stress problem. J Strain Anal Eng Des1985; 20(4): 241–245.
9.
FrankovskýPOstertagOTrebuňaFet al. Methodology of contact stress analysis of gearwheel by means of experimental photoelasticity. Appl Opt2016; 55(18): 4856–4864.
10.
HariprasadMPRameshK.Contact zone evaluation of dental implants using digital photoelasticity. In: KorachCSTekalurSAZavattieriP (eds) Mechanics of biological systems and materials: proceedings of the society for experimental mechanics series, vol. 6. Berlin: Springer, 2016, pp.39–43.
11.
DixieMHJamesCGAndrewWD.Experimental methodology using digital image correlation to assess ballistic helmet blunt trauma. J Appl Mech2011; 78(5): 051022.
12.
McCormickNJLordJD.Practical in situ applications of DIC for large structures. Appl Mech Mater2010; 24–25: 161–166.
13.
DuYDiazEABurgeteRLet al. Evaluation of DIC of stress intensity factor in an aerospace panel. Experiment Mech2011; 51: 45–57.
14.
KourkoulisSKMarkidesCFChatzistergosPE.The Brazilian disc under parabolically varying load. Int J Solids Struct2012; 49: 959–972.
15.
RameshKGuptaSKelkarAA.Evaluation of stress field parameters in fracture mechanics by photoelasticity: revisited. Eng Fract Mech1997; 9: 189–210.
16.
RameshKRameshBVivekanandanA. Evaluation of interaction effects in multiple cracks under biaxial loads using photoelasticity. In: Proceedings of the Society of Engineering Science 52nd annual technical meeting, College Station, TX, 26–28 October 2015.
