
Accession Number : AD0687633
Title : EQUATIONS OF THE TWODIMENSIONAL PROBLEM OF THE VARYINGSTRENGTH OF VARYINGMODULI THEORY OF ELASTICITY,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON 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 twodimensional case, besides the rectangular coordinates, the author uses also polar coordinates. It is shown that the Castigliano theorem is valid for the twomoduli 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