Deformation and damage capacity of thin–walled rods and tubular conduits under alternating loading

Abstract

The paper presents deformation and elastoplastic calculation of thin–walled rods (pipelines) under spatial – alternating loading taking into account damageability of material. On the basis of deformation theory and variational principle of Hamilton – Ostrogradsky the system of differential equations of motion (equilibrium) under alternating loading is obtained and the boundary value problems for structural elements are formulated. The algorithms and results of realization of calculation of thin–walled rods (pipes) under alternating loading in view of damage accumulation are given. Numerical results of displacement and force components depending on the number of loading cycles with regard for strain diagrams are given. Effects of secondary plastic deformations and elastic unloading on stress–strain states are shown graphically.