ABSTRACT

The investigations of deformation of thin wall plates and shells at high strains have been carried out on a large scale. In the majority of these investigations, deformation of the plates and shells is investigated at room temperature using the non-linear elastic and elastoplastic models. This chapter investigates the creep of long rectangular and circular membranes under the effect of transverse pressure in the free and constricted conditions. The elastic deformation of the membrane is described by Hooke's law for the multiaxial stress state with the incompressibility of the material taken into account. The solution of the problem based on the power model of steady-state creep is presented in the monographs by L. M. Kachanov and F. K. G. Odquist. A generalisation of the solution with the work hardening of the material taken into account was published by N. N. Malinin. K. I. Romanov analysed the fracture of a deformed membrane in the creep conditions.