Three Dimensional Photoelastic Investigation for Analyzing Stress Concentration Factor in Isotropic Square Simply Supported Plate with Hole Subjected to Transverse Loading

Main Article Content

Moon Banerjee*
Nitin Kumar Jain
Shubhashis Sanyal

Abstract

In this paper, an experimental and numerical study was carried out to examine stress concentration fields near singularities, originating and propagating in accordance with different hole diameter to width ratios (D/A) in a square plate. Experimental three-dimensional photoelastic analyses were performed to predict the reaction of geometric conditions, loading and boundary condition on stress concentration factor (SCF) near the hole. During experimental analysis, stress was locked inside the plate by the use of stress freezing technique. Further evaluation of locked stress was performed with a polariscope, with the help of slices procured using the slicing method employed on stress frozen plate. The different fringes obtained from monochromatic and white light showed the variation of maximum intensity stresses which were further compared with the stress contours from the finite element model. Also, assessment was conducted with the finite element method to validate the results. Based on the results, percentage variation between experimental and analytical was evaluated and it was found that the variation was between 2 and 5%.


Keywords: three-dimensional photoelasticity; finite element method; stress freezing phenomenon; stress concentration factor


*Corresponding author: Tel.: (+91) 7999626421


                                             E-mail: moonbanerjee@gmail.com


 

Article Details

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Original Research Articles

References

Ramakrishnan, V. and Ramesh K., 2017. Scanning schemes in white light photoelasticity. Part II: Novel fringe resolution guided scanning scheme. Optical Lasers Engineering, 92, 141-149.

Ramesh, K. and Deshmukh, S.S., 1996. Three fringe photoelasticity‐use of colour image processing hardware to automate ordering of isochromatics. Strain, 32(3), 79-86.

Patil, P., Vyasarayani, C.P. and Ramji, M., 2017. Linear least squares approach for evaluating crack tip fracture parameters using isochromatic and isoclinic data from digital photoelasticity. Optical Lasers Engineering, 93, 182-94.

Perumal, L., Tso, C.P. and Leng, L.T., 2016. Analysis of thin plates with holes by using exact geometrical representation within XFEM. Journal of Advance Research, 7, 445-452.

Ramesh, K. and Ramakrishnan, V., 2016. Digital photoelasticity of glass: A comprehensive review. Optical Laser Engineering, 87, 59-74.

Ajovalasit, A., Petrucci, G. and Scafidi, M., 2014. Review of RGB photoelasticity. Optical Lasers Engineering, 68, 58-73.

Swain, D., Thomas, B.P., Philip, J. and Pillai, S.A., 2014. Novel calibration and color adaptation schemes in three fringe RGB photoelasticity. Optical Lasers Engineering, 66, 320-329.

Shang, W., Ji, X. and Yang, X., 2015. Study on several problems of automatic full-field isoclinic parameter measurement by digital phase shifting photoelasticity. Optik-International Journal of Light and Electron, 126, 1981-1985.

Enab, T.A., 2014. Stress concentration analysis in functionally graded plates with elliptic holes under biaxial loadings. Ain Shams Engineering Journal, 5, 839-850.

Pandya, Y. and Parey, A., 2013. Experimental investigation of spur gear tooth mesh stiffness in the presence of crack using photoelasticity technique. Engineering Failure Analysis Journal, 34, 488-500.

Kale, S. and Ramesh, K., 2013. Advancing front scanning approach for three-fringe photoelasticity. Optical Lasers Engineering, 51, 592-599.

Forte, P., Paoli, A. and Razionale, A.V., 2013. A CAE approach for the stress analysis of gear models by 3D digital photoelasticity. International Journal Interactive Design Manufacturing, 9, 31-43.

Lee, Y.C., Liu, T.S., Wu, C.I. and Lin, W.Y., 2012. Investigation on residual stress and stress-optical coefficient for flexible electronics by photoelasticity. Journal of International measurement confederation, 45, 311-316.

Prasad, D.K., Ramana, K.V. and Rao, N.M., 2019. Theoretical investigation of stresses induced at blade mounting locations in steam turbine rotor system. International Journal of Applied Mechanics and Engineering, 24(2), 295-307.