Accession Number : AD0687633

Title :   EQUATIONS OF THE TWO-DIMENSIONAL PROBLEM OF THE VARYING-STRENGTH OF VARYING-MODULI THEORY OF ELASTICITY,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Ambartsumyan,S. A.

Report Date : 17 JAN 1969

Pagination or Media Count : 25

Abstract : Assumption is made of a material having constant but different moduli of elasticity in tension and compression. Likewise the Poisson ratios are different in tension and compression. For materials with such properties all the elasticity equations, the equations of compatibility, equations of equilibrium, and the generalized Hooke's law are derived and compared with the classical theory equations. For the two-dimensional case, besides the rectangular coordinates, the author uses also polar coordinates. It is shown that the Castigliano theorem is valid for the two-moduli theory as well.

Descriptors :   (*MODULUS OF ELASTICITY, *PARTIAL DIFFERENTIAL EQUATIONS), ELASTIC PROPERTIES, TENSILE PROPERTIES, COMPRESSIVE PROPERTIES, POISSONS RATIO, DEFORMATION, EQUATIONS, THEOREMS, USSR

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE