Bryukhovetskaya E. V., Konishcheva O. V., Brungardt M. V., Shchepin A. N. Opredeleniye opticheskikh svoystv materialov, ispol'zuyemykh v golograficheskoy fotouprugosti dlya resheniya kontaktnoy zadachi «rel's – koleso» [Determination of optical properties of materials used in holographic photoelasticity to solve the “rail – wheel” contact problem]. Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie [Modern Technologies. System Analysis. Modeling], 2020, Vol. 66, No. 2, pp. 10–15. 10.26731/1813-9108.2020.2(66).10-15
This article considers the possibility of using a three-exposure method of holographic photoelasticity to determine optical constants of materials used to create three-dimensional models of rails in solving the “rail – wheel” contact problem. In order to determine the optical constants С1 and С2, it is necessary to select a type of loading at which one of the stresses is equal to zero along the axis of symmetry of the sample. The Flamant problem meets these requirements. The three-exposure method of holographic photoelasticity makes it possible to obtain different sets of interference strips in a universal interferometer, which greatly simplifies the experiment. For testing, volumetric composite models are used, the main part of which is made of organic glass, and a thin plate of optically sensitive materials is glued into the central part. One model has an epoxy gluing-in, the other is made of polycarbonate.The materials of the volumetric composite models are subject to certain requirements, such as the equality of the elastic constants of the plexiglass of the main unit of the model, the optical material of the gluing-in and the hardened adhesive, and the difference of optical constants С1 and С2, so that calibration tests need to be carried out. For these purposes, the problem of “the effect of a rigid stamp on the elastic half-plane” was solved. Calibration check tests were carried out by a universal interferometer. Comparison of experimental results with theoretical solution showed rather high accuracy of determination of optic constants by means of three-exposure method of holographic photoelasticity.
- Frokht M. Fotouprugost' [Photoelasticity]. Moscow: Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoi literatury Publ. Moscow: Mir Publ., 1950, 488 p.
- Vest Ch. Golograficheskaya interferometriya [Interferometric holography]. Moscow: Mir Publ., 1982, 316 p.
- Arias-Cuevas O. et al. Rolling-sliding laboratory tests of friction modifiers in leaf contaminated wheel-rail contacts. STLE/ASME 2008 International Joint Tribology Conference. American Society of Mechanical Engineers Digital Collection, 2008, pp. 213–215.
- Razumovskii I.A. Interferentsionno-opticheskie metody mekhaniki deformiruemogo tverdogo tela [Interference-optical methods of deformable solid body mechanics]. Moscow: Bauman MGTU Publ., 2007, 240 p.
- Bryukhovetskaya E.V., Konishheva O.V. Universal'nyi golograficheskii interferometr [A scheme of the universal interferometer]. Vestnik MGTU “Stankin”, 2013, No. 2, pp. 102–104.
- Bryukhovetskaya E.V., Bryukhovetskaya T.M. Prikladnye zadachi stroitel'noi mekhaniki. Eksperimental'nye metody issledovaniya napryazheno-deformirovannogo sostoyaniya konstruktsii [Application tasks of construction mechanics. Experimental methods of investigation of stress-strain state of structures]. A monograph. SibGTU Publ., 1999.
- Mijajlović M. Numerical simulation of the material flow influence upon heat generation during friction stir welding. Facta universitatis-series: Mechanical Engineering, 2013, Vol. 11, No. 1, pp. 19–28.
- Milošević M. S. et al. Modeling thermal effects in braking systems of railway vehicles. Thermal science, 2012, Vol. 16, No. 2, pp. 515–526.
- Ponomarev S.D. et al. Raschety na prochnost' v mashinostroenii [Strength Calculations in Mechanical Engineering]. Moscow: Mashgiz Publ., 1958, Vol. 2, 974 p.
- Miltenović A. et al. Determination of friction heat generation in contact of wheel-rail set using FEM. Proc. XVI International Scientific-expert Conference on Railway Railcon ‘1+-4, Niš, 2014, pp. 21–24.
- Miltenović A. et al. Determination of friction heat generation in wheel-rail contact using FEM. Facta Universitatis, Series: Mechanical Engineering, 2015, Vol. 13, No. 2, pp. 99–108.
- Durelli A. J., Riley W.F., Introduction to Photomechanics. Prentice-Hall, Englewood Cliffs, NJ, 1965. (Russ. ed.: Dyurelli A. Vvedenie v fotomekhaniku: (polyarizacionno-opticheskii metod. Per. s angl. Mir Publ., 1970, 484 p.).
- Stepanova L.V. Matematicheskie metody mekhaniki razrusheniya. [Mathematical Methods of Fracture Mechanics]. Moscow: Fizmatlit Publ., 2009, 336 p.
- Albaut G.N. Nelineinaya fotouprugost' v prilozhenii k zadacham mekhaniki razrusheniya [Nonlinear photoelasticity in addition to fracture mechanics tasks]. Novosibirsk: NGASU Publ., 2002, 112 p.
- Thomas B.P., Pillai S.A., Narayanamurthy C.S. Photoelastic digital holographic polariscope. Journal of Modern Optics, 2019, Vol. 66, No. 8, pp. 817–828.
- Forte P., Paoli A., Razionale A. V. A CAE approach for the stress analysis of gear models by 3D digital photoelasticity. International Journal on Interactive Design and Manufacturing (IJIDeM). – 2015, Vol. 9, No. 1, pp. 31–43.
- Takao S., Yoneyama S., Takashi M. Minute displacement and strain analysis using lensless Fourier transformed holographic interferometry. Optics and lasers in engineering, 2002, Vol. 38, No. 5, pp. 233–244.
- Ju Y. et al. Experimental visualisation methods for three-dimensional stress fields of porous solids. Experimental Techniques, 2017, Vol. 41, No. 4, pp. 331–344.
- Zuccarello B., Tripoli G. Photoelastic stress pattern analysis using Fourier transform with carrier fringes: influence of quarter-wave plate error. Optics and lasers in engineering, 2002, Vol. 37, No. 4, pp. 401–416.