Non-linear stochastic problem of the half-space extension under creep condition

The creep boundary value problem of the stochastically inhomogeneous half-space extension is studied. We assume that the bounding space is free from stress. The problem is solved using the method of small parameter at a first approximation. Using the constructed solution we make the statistical analysis of the stress field on the medium boundary, research the main features of the boundary effect causing by the stochastic non-inhomogeneities of material. We show that near the half-space boundary the dispersion of stresses is much more than in the deeper layers. The received results allow the adequate valuation of the stress-strain state of inhomogeneous medium near its boundary.