Stresses and Strains in a Disk of Physically Nonlinear Material with Stress State Dependent Properties

Abstract

An analysis properties of the constitutive relations of the theory of deformation for physically nonlinear materials with properties depending on the type of stress state is carried out. These relations take into account two forms of nonlinearity, one of them is associated with the nonlinearity of the deformation diagrams and another one is associated with the change in these diagrams depending on the loading conditions. The distributions of stresses and strains in a rotating disk made of a material with properties sensitive to the type of stress state are investigated and a comparison with the results of calculations for a material with properties invariant to the form of external forces is performed.