Geodesic
Theoretically reconstructed isochromatic fringes in the vicinity of the crack tip
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 25 (2019) no. 1, pp. 57-62

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Theoretically reconstructed isochromatic fringe in the vicinity of the crack tip was received. The problem for a plate with central horizontal crack under uniaxial tension was considered. Isochromatic fringe in the vicinity of the crack tip image generating programme using complete asymptotic expansion of M. Williams stress field with scaling factor for infinity plate was developed. It was demonstrated that using large term of sum in the asymptotic expansion is necessary. If target isochromatic fringe is located far from the vicinity of the crack tip, then using many terms of sum in the asymptotic expansion of M. Williams is required.
Keywords: photoelasticity, complete asymptotic expansion of M. Williams stress field, fracture mechanics, vicinity of the crack tip. 
@article{VSGU_2019_25_1_a4,
     author = {R. M. Zhabbarov},
     title = {Theoretically reconstructed isochromatic fringes in the vicinity of the crack tip},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {57--62},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2019_25_1_a4/}
}
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R. M. Zhabbarov. Theoretically reconstructed isochromatic fringes in the vicinity of the crack tip. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 25 (2019) no. 1, pp. 57-62. http://geodesic.mathdoc.fr/item/VSGU_2019_25_1_a4/