Author(s)

A.N. Papusha

Abstract

A derivation of the equations of deformations and the static equations of stresses of the non-linear theory of elasticity of an elastic body is described. This paper includes a derivation of the non-linear balance equations using Mathematica, thus differing from well known and widely used methods described earlier in works [1,2,3]. 1 Introduction The theory of elasticity as a scientific discipline arose at the beginning of the 19th century, when almost simultaneously C. Navier (1822) [1], A. (1825) [2], and S. Poisson (1829) [3] deduced general equations of static balance and motion of elastic bodies and gave correct statements of related problems. The main aim of the theory of elasticity is a study of the determination of deformations and internal forces arising in e

Keywords