Abstract
A system of equations of the weight function method is obtained for the calculation of the stress intensity factors (SIF) along the crack front under arbitrary normal loading, as well as the crack opening displacement field (CODF) for cracks of arbitrary shape. The equations, in particular, make it possible to estimate the error of the known empirical formulas for the SIF, as well as to calculate the variation of the SIF values with the crack shape. It is shown that the SIF values for the problems with the mixed boundary conditions can be calculated making use of the weight functions obtained for the problems with the boundary conditions in stresses.
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Vainshtok, V.A. Application of the weight function method to solving multiparametric three-dimensional fracture mechanics problems. Int J Fract 47, 201–212 (1991). https://doi.org/10.1007/BF00042576
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DOI: https://doi.org/10.1007/BF00042576