Transversal Shear Effect in Moderately Thick Shells from Materials with Characteristics Dependent on the Kind of Stress State under Creep-Damage Conditions

Theoretical Framework

Abstract

The refined theory of creep deformation and creep damage in moderately thick shells of revolution which accounts for transversal shears and additionally for nonlinear distribution across its thickness of the components of the strain tensor as well as of the angles of rotation of the triad of vectors defined the position of the arbitrary point of a shell is discussed. A constitutive model for describing the creep deformation and directional nature of damage under creep conditions in initially isotropic materials with characteristics dependent on the kind of the stress state has been used. The governing equations of the moderately thick shell theory under discussion are introduced, and the initial/boundary-value problem in the frame of the physical nonlinearity and geometrical linearity has been formulated. The numerical tool developed for analysis of creep deformation and creep damage in moderately thick shells of revolution using the proposed theory is discussed.