Geodesic
Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2017), pp. 44-50

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The approximation solution of the problem for an infinite plate with the circular hole under creep regime is obtained by the quazilinearization method. Four approximations of the solution of the nonlinear problems are found. It is shown that with increasing of the number of approximations the solution converges to the limit numerical solution. It is worth to note that the tangential stress reaches its maximum value not at the circular hole but at the internal point of the plate. It is also shown that quazilinearization method is an effective method for nonlinear problems.
Keywords: quazilinearization method, plate comprehensively stretching, stress field in the neighborhood of crack tips, nonlinear problems, Beyley–Norton's power law, analytical solution. 
@article{VSGU_2017_2_a4,
     author = {L. V. Stepanova and R. M. Zhabbarov},
     title = {Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {44--50},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2017_2_a4/}
}
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L. V. Stepanova; R. M. Zhabbarov. Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2017), pp. 44-50. http://geodesic.mathdoc.fr/item/VSGU_2017_2_a4/