Geodesic
Multiparametric analysis of the stress field near the crack tip
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 52-76

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The paper is devoted to analytical determination of coefficients of the Williams asymptotic expansion of the stress field in the neighborhood of two collinear crack tips in an infinite plate under mixed mode loading. On the basis of the Kolosof–Muskhelishvili approach the complete asymptotic expansion of the stress field in the vicinity of the crack tips of two collinear cracks of equal lengths under mixed mode loading is derived. The analysis of the higher order terms in the asymptotic expansion series is performed. It is clear that it is necessary to take into account the higher order terms.
Keywords: Williams asymptotic expansion, stress field in the neighborhood of crack tips, two collinear crack tips, mixed mode loading, higher order terms. 
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     author = {L. V. Stepanova and P. S. Roslyakov},
     title = {Multiparametric analysis of the stress field near the crack tip},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {52--76},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_10_a5/}
}
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L. V. Stepanova; P. S. Roslyakov. Multiparametric analysis of the stress field near the crack tip. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 52-76. http://geodesic.mathdoc.fr/item/VSGU_2015_10_a5/