CONCERNING THE FINITE ELEMENT SOLUTION OF THE GEOMETRICALLY NONLINEAR PROBLEM OF THE THEORY OF ELASTICITY.

To solve the geometrically nonlinear problem of the theory of elasticity by the finite element method, the problem of displacement of the finite element as a rigid whole is considered. The problem is due to the fact that in partly linearized relations for the deformation tensor components used in considering thin-walled structure deformation displacements of a body as an absolute solid are not excluded. It is shown that in working out numerical solution with discertization of the region by the finite element method, just as for the continual problems it is necessary and sufficient to fix kinmatically in the space at least one point of the body to exclude displacements of the rigid whole type.