This article is cited in 1 paper

Mechanics of Solids

The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep

N. N. Popov, M. A. Yashin

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: 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.

UDC: 539.376

MSC: 74E35, 74K20

Original article submitted 01/II/2010
revision submitted – 15/III/2010

DOI: 10.14498/vsgtu769

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