PSI - Issue 39

O.N. Belova et al. / Procedia Structural Integrity 39 (2022) 770–785 Author name / Structural Integrity Procedia 00 (2021) 000–000

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Fig. 9. Angular distributions of the stress tensor components in the vicinity of the crack tip D generated with the theoretical solution (red line) and by finite element solution (black points). The theoretical solution is constructed with the help of truncated Williams series expansion: 1) the first row shows the four-term asymptotic solution; 2) the second row shows the six-term asymptotic solution; 3) the third row shows the eight-term asymptotic solution; 4) the fourth row shows the ten-term asymptotic solution; 5) the fifth row shows the twenty-term asymptotic solution. 4. Conclusions In this research the exhaustive experimental and numerical procedures for the estimation of the near crack-tip fields in a plate with two cracks are realized. The digital image processing of the experimental isochromatic and isoclinic data obtained in the framework of the photoelasticity method is realized. In this study higher order coefficients of the multi-parameter Williams series expansion for the stress and displacement fields in the vicinity of crack tips in the rectangular plate with two nonparallel cracks are obtained by the use of the digital photoelasticity method and finite element analysis. The higher-order terms in the Williams asymptotic expansion are considered. It allows us to have more accurate estimation of stress, strain and displacement fields and to extend the realm of validity for the Williams series expansion. The program is specially developed for the interpretation and processing of experimental data from the photoelasticity measurement experiments. The developed tool allows us to find points that belong to isochromatic