the nonlinear theory, the final deformations, small deformations, introduction of the simplifications

The analysis of construction of the basic correlations of the nonlinear theory of the small deformations in the mechanics of a deformable firm body in the lagrangian’s coordinates is considered. The basic attention is given to a conclusion of the specified correlations from the theory of final deformations thereby introducing the corresponding simplifications. Usually the specified simplifications are entered before the performance of the differential operations, in the present article the case of introduction of the simplifications after differentiation is also analyzed