Analysis of the axisymmetric thermoelastoplastic state of branched laminated transversally isotropic shells

A technique is developed for determination of the axisymmetric thermoelasto plastic stress-strain state of branched laminated transversally isotropic s hells of revolution under loads that cause the meridional stress state and torsion. The method is based on the rectilinear-element hypotheses for the whole package of layers. To describe the processes of active elastoplastic deformation of a transversally isotropic material, deformation-type equatio ns, which are constructed without recourse to the plastic-potential existen ce condition, are used, The scalar functions in the constitutive equations depend on the shear-strain rate and temperature. The solution of the proble m is reduced to numerical integration of systems of differential equations. An example of determination of the elastoplastic state of a two-layer cyli ndrical shell stiffened with a rigid ring support is presented.