PSI - Issue 28

R.M. Zhabbarov et al. / Procedia Structural Integrity 28 (2020) 1774–1780 Author name / Structural Integrity Procedia 00 (2019) 000–000

1779

6

procedures simplify the analysis of the description of mechanical fields at a greater distance from the crack tip considerably. The digital image processing with the aid of the developed tool is performed. The points determined with the adopted tool are used further for the calculations of stress intensity factor, T-stresses and coefficients of higher-order terms in the Williams series expansion. Table 1. Coefficients of the Williams series expansion for the plate with the central crack (the experimental photoelasticity method). Coefficients of the Williams series expansion   1 3/2 1 72.528 / a kg cm    1 2 2 27.517 / a kg cm     1 5/2 3 21.406 / a kg cm    1 3 4 0.337 / a kg cm     1 7/2 5 2.844 / a kg cm     1 4 6 0.919 / a kg cm     1 9/2 7 0.965 / a kg cm    1 5 8 0.025 / a kg cm    1 11/2 9 0.340 / a kg cm     1 6 10 0.017 / a kg cm     1 13/2 11 0.098 / a kg cm    1 7 12 0.019 / a kg cm    1 15/2 13 0.056 / a kg cm    1 8 14 0.008 / a kg cm    1 17/2 15 0.018 / a kg cm 

Acknowledgements The work was supported by Russian Foundation for Basic Research (project 19-01-00631). References

Ayatollahi, M.R., Mirsayar, M.M., Dehghany, M., 2011. Experimental determination of stress field parameters in bi-material notches using photoelasticity. Materials & Design 32(10), 4901-4098. Dolgikh, V.S., Stepanova, L.V., 2020. A photoelastic and numeric study of the stress field in the vicinity of two interacting cracks: Stress intensity factors, T-stresses and higher order terms. AIP Conference Proceedings 2216, 020014. Jobin, T.M., Khaderi, S.N., Ramji, M., 2020. Experimental evaluation of the strain intensity factor at the inclusion tip using digital photoelasticity. Optics and Lasers in Engineering 126, 105855. Karihaloo, B.L., Xiao, Q.Z., 2001. Accurate determination of the coefficients of elastic crack tip asymptotic field by a hybrid crack element with p-adaptivity. Eng. Fract. Mechanics 68(15), 1609-1630. Patil, P., Vysasarayani, C.P., Ramji, M., 2017. Linear least squares approach for evaluating crack tip fracture parameters using isochromatic and isoclinic data from digital photoelasticity. Optics and Lasers in Engineering 93, 182-194.