Solution of a Mixed Boundary Value Problem of Nonlinear Creep Theory

In the case of antiplane deformation, a mixed boundary value problem of the nonlinear steady-state creep theory (NSSCT) is considered for the power law of relation between stresses and strain rates for a half-space, when the strain rates are set on one part of its boundary plane while the tangential stresses are equal to zero on the other part of its boundary plane. A closed solution of the problem is constructed. For the comparative analysis, an approximate solution of the problem is obtained. A special case is considered.