Geodesic
On development of multiscale fracture models
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 70-83

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An approximate solution of nonlinear eigenvalue problem arising from the Mode I crack problem in a nonlinear power-law medium is obtained. The perturbation technique is used. The method allows to find the analytical formula expressing the eigenvalue as the function of parameters of constitutive law and eigenvalue corresponding to the linear undisturbed problem.
Keywords: nonlinear eigenvalue problem, stress-strain state near the crack tip, stress singularity, analytical solution.
Mots-clés : multiscale fracture model, perturbation method 
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     author = {E. M. Adylina and L. V. Stepanova},
     title = {On development of multiscale fracture models},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {70--83},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a7/}
}
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E. M. Adylina; L. V. Stepanova. On development of multiscale fracture models. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 70-83. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a7/