Plane dynamic thermomechanically coupled behavior of a viscoplastic beam under cyclic load (Q2754774)

Three-layer viscoplastic beam in plane stress is considered. Beam ends are under the action of time-harmonic bending load. The problem formulation includes equations of motion, the energy balance equation, the equation of Bodner-Partom model (representing total deformation as a sum of elastic, inelastic and thermal components), an expression for thermal deformation, the Hooke law for elastic components, the equation of plastic flow and evolution equations for parameters of isotropic and kinematic strengthening. The problem is essentially nonlinear and is solved numerically by Newmark scheme and implicit Euler method with selection of middle point. An example of calculations is considered, and plots of amplitude of displacements, components of deformation, stress deviator and the averaged of energy dissipation are presented.