Approximate solutions of the near crack tip stress and strain fields in a creeping material with the linear-fractional creep law under mixed loading conditions are presented and discussed. It is assumed that the cracked specimen is subjected to mixed loading when the normal and shear load are simultaneously applied. The stress and creep strain rate fields for different values of the mixity parameter characterizing the mixed loading are obtained. It is shown that there are several characteristic sectors in the vicinity of the crack tip where the stress field is determined by the different formulae. The sectors can be assembled subject to the boundary conditions and continuity of tractions across the sectors boundaries. The comparison of the analytical and numerical solutions is given. The creep strain rate tensor components in the neighborhood of the crack tip are shown to be singular. It is shown that the linear-fractional creep law as distinct from power creep law allows to describe the essentially nonlinear dependence between stress and creep strain rate in the vicinity of the crack tip and the linear relation at low level of the load and in turn allows to construct the continuous distribution of the radial stress near the crack tip.
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