ON THE STABILITY OF DEFORMATION OF AN ELASTIC BODY UNDER QUASI-STATIC LOADING

The paper describes a method that occupies an intermediate position between two different approaches to the formulation of the problem of stability of a deformable solid. The assumption of small deformations is used. The issue of stability of the equilibrium of an elastic body is considered as a difficulty of bifurcation of a stress-strain state. The solution of the Euler problem is given as an example of the application of the method.