Abstract
This article is aimed at theoretical study of the stress-strain state of an infinite plate with twosemi-infinite symmetrical edge notches. The analytical solution is obtained by means of decompositionin the M. Williams series expansion and subsequent calculation of the amplitude coefficients of theexpansion using the complex representation of stresses. An analysis of the multiparametric expansionof the stress field and a computational experiment with different number of terms are carried out. Acomparison of the complex representation of the stress field with the asymptotic series of M. Williamsobtained shows the need for an accurate estimate of the number of terms keeping in the expansionseries depending on the distance from the crack tip.
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