Accession Number : AD0747296

Title :   Relationship between the Theory of St.-Venant-Levy-Mises and the Theory of Small Elastico-Plastic Deformations (Svyaz Mezhdu Teoriei Sen-Venana-Levi-Mizesa i Teoriei Malykh Uprugo-Plasticheskikh Deformatsii),

Corporate Author : ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s) : Ilyushin,A. A.

Report Date : 03 JUL 1972

Pagination or Media Count : 20

Abstract : The author proves that the validity of the generalized theory of small elastico-plastic deformations provides the general condition the partial if Xi with respect to lambda = 0 where Xi is a so-called tensor of similitude and lambda is a value independent of x, y, z, but characterizing the sequence of the different stressed states of the body. From this two statements arise: (1) The theory of the small elastico-platic deformations is a particular case of the St. Venant-Levy-Mises theory of flow; and (2) For the condition the partial if Xi with respect to lambda = 0 the Hencky-Mises theory of small deformations follows from the theory of flow. Moreover, the above-mentioned condition leads to new expressions for the laws of the theory of small plastic deformations, since every intermediate stressed state after unloading may be taken as an initial state. (Author)

Descriptors :   (*DEFORMATION, THEORY), ELASTIC PROPERTIES, PLASTIC PROPERTIES, TENSOR ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, USSR

Subject Categories : Mechanics
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE