Summary
A method for modelling the influence of an aggressive environment on creep and creep rupture is suggested. This method is based on the introduction of a notion of structural elements and postulating elementary creep properties of these elements. The equations of behavior of a specimen as a whole are based on the behavior of the elements.A probabilistic approach is used for the analysis of creep and creep rupture of solids. Pure bending of a long thin rod in an aggressive environment is studied. It is supposed that the fracture of structural elements takes place only under tensional stresses. A system of integral-differential equations is derived; this system characterizes the process of damage accumulation and change of stress-strain state at times,which is caused by rod bending. It is demonstrated that rupture of any structural element in a tension area causes stress redistribution. This redistribution leads to a motion of the neutral lines at which stresses and strains equal zero. The numerical investigation of a derived system of equations is developed.