| Abstract: | There have been many studies of the stability of plastically deformable media. Specific problems are solved in 1, 2], etc. In these studies it has been assumed that the process of loss of stability can be investigated in the quasi-static formulation, i.e., an attempt is made to find the values of the external loads at which, together with the unperturbed equilibrium mode, the adjacent perturbed equilibrium state is possible, the transition from the unperturbed to the adjacent perturbed state being assumed to take place without unloading.The results thus obtained are in agreement with general experimental concepts.Below it is shown that the use of the model of a viscoelastic-plastic hardening body leads to a process of stability loss in which the material is plastically deformed, which justifies the use of the tangent-modulus formulation.It is established that if the external loads are conservative, then for viscoelastic-plastic bodies loss of stability will occur in the static instability mode.The stability of systems under creep conditions was previously examined in 3–8]. |
