Author(s): A.N. Papusha
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.
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].
The theory of elasticity as a scientific discipline arose at the beginning of the
19th century, when almost simultaneously C.
Navier (1822) , A.
Poisson (1829)  deduced general equations of static balance and
motion of elastic bodies and gave correct statements of related problems.
main aim of the theory of elasticity is a study of the determination of
deformations and internal forces arising in e...
Size: 637 kb
Paper DOI: 10.2495/IMS970501
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