THE PREISACH MODEL FOR THE CYCLIC BENDING OF ELASTOPLASTIC BEAMS

In the present paper, the Preisach model, already successfully impleme nted for the problem of axially loaded members, has been extended to t he cyclic bending of elasto-plastic beams. Starting from Hooke's and S t. Venant's element, very well known in the theory of plasticity, usin g the Preisach model the stress at an arbitrary fiber of the cross sec tion, and at an arbitrary instant of time can be found for a precribed history of curvarure change. The solutions for pure bending of symmet rical cross sections (rectangular and I-section) are presented. Also p ure bending of an unsymmetrical (triangular) cross section, and the be nding of a symmetrical (rectangular) cross section due to the simultan eous action of axial stretching of the neutral fiber and curvature cha nge are considered.