Geodesic
The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 104-110

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We studied the solution of a nonlinear boundary value problem of the steady-state creep at pure shear of a stochastically non-uniform half-plane. The solution of the problem is searched in correlation approximation on the basis of a spectral representation of random function method. On the basis of the received solution the statistical analysis of stress field near to half-plane boundary is carried out. It is shown, that in an interface dispensing of stress much more, than for deep layers.
Keywords: stochastic heterogeneity, the statistical nonlinearity, the steady-state creep, pure shear, spectral representation of random function. 
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     author = {N. N. Popov and M. A. Yashin},
     title = {The {Study} of {Random} {Fields} of {Stress} in {Pure} {Shear} {Stochastically} {Inhomogeneous} {Half-Plane} under {Creep}},
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N. N. Popov; M. A. Yashin. The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 104-110. http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a10/