Determination of the axially symmetric geometrically nonlinear thermoviscoelastoplastic state of thin layered shells with regard for the damageability of the material

We describe a technique for determining the axially symmetric geometrically nonlinear thermoviscoelastoplastic state of layered shells of revolution with regard for the damageability of the material. This procedure is based on the geometrically nonlinear relations of the theory of thin shells taking into account the transverse shear strains. We use the relations of thermoviscoplasticity, describing the deformation of an element of the body along small-curvature trajectories, as equations of state. The equivalent stress in the kinetic equations of damageability and creep is determined by the criterion of long-term strength taking into account the influence of the kind of stressed state. The procedure is illustrated by numerical results. © 2009 Springer Science+Business Media, Inc.