Eventos Anais de eventos
MecSol 2017
6th International Symposium on Solid Mechanics
A LOWER BOUND LIMIT ANALYSIS OF REISSNER-MINDLIN PLATES BY FINITE ELEMENT AND SECOND-ORDER CONE PROGRAMMING
Submission Author:
Eric Luis Barroso Cavalcante , PA
Co-Authors:
Eliseu Lucena Neto
Presenter: Eric Luis Barroso Cavalcante
doi://10.26678/ABCM.MecSol2017.MSL17-0030
Abstract
A three-node triangular finite element formulation is developed for the static theorem of limit analysis to discretize Reissner-Mindlin plates. The element satisfies the equilibrium equation and the mechanical boundary condition in a weak sense. Three different yield criteria, derived from von Mises and formulated in the space of bending moments and/or shear forces, are considered. Nowhere in the element the generalized stress fields violate the pertinent convex yield criterion. The resulting nonlinear convex optimization problem is then written as a second-order cone program which is solved with the MOSEK interior-point optimizer. Benchmark examples illustrate that the convergence of the results with the proposed element may not be monotonic, or even from below, but very accurate results are soon reached.
Keywords
Reissner-Mindlin plates, limit analysis, lower bound, finite element, second-order cone programming
