Elastic-Viscoplastic analysis of Reissner’s plates by the Boundary Element Method

Resumo

This work presents a formulation for elastic-viscoplastic analysis of plate bending by the Boundary
Element Method (BEM). It is employed Reissner’s theory, in which transverse shear strains are considered and
so, it holds for thin and thick plates. Basic formulation of Reissner's plate bending theory is presented, with the
consideration of physical nonlinearity. The related integral equations are shown for displacements at internal and
boundary points and also for moments and shear resultants at internal points. The theory for considering
viscoplasticity is presented, as well as the procedures for the solution of these equations by the BEM. This process
offers an alternative method of solution for elasto-plastic problems, when steady-state condition is reached. For
the numerical implementation, quadratic boundary elements of linear geometry and constant internal cells, also of
linear geometry, are employed. These cells are only necessary where the existence of inelastic strains is expected.
Numerical examples are presented and the obtained results are compared with solutions found in literature.