Geodesic
Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 50-58

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The analytical method for nonlinear stochastic creep problem solving for a plane stressed state was developed. Stochasticity was introduced into the determinative creep equation, which was taken in accordance with the nonlinear theory of viscous flow, through a homogeneous random function of coordinates. The problem was solved on the basis of the second approximation for small parameter method in stress tensor components. The main statistical characteristics of the random stress field were calculated. The analysis of the results in the first and second approximations was obtained.
Keywords: stochastic problem, steady-state creep, small parameter method, second approximation, random stress field. 
@article{VSGTU_2011_4_a6,
     author = {N. N. Popov and O. Chernova},
     title = {Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {50--58},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a6/}
}
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N. N. Popov; O. Chernova. Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 50-58. http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a6/