A coupled dynamic problem of thermoviscoplasticity for shells of revolution with constant thickness (Q2754760)

The authors consider a dynamic problem of geometrically nonlinear theory of thin shells based on Kirchhoff-Love hypothesis. The problem formulation includes geometric equations, equations of motion, relationships of plasticity and heat conduction equation supplemented by the corresponding boundary and initial conditions. Thermoviscoplastic behavior is described by Bodner-Partom model. The problem is reduced to solution of twenty-eight nonlinear equations containing the same number of unknown functions. The second derivatives with respect to time are represented by Newmark formulae, and the nonlinear boundary value problem is integrated at each step by a simple iteration technique.