Optimal Topology Design of Beam Cross-Section by Applying Topological Derivative

Abstract

This work addresses the problem of optimal topological design of beam cross-section based on the use of topological derivatives.The elastic axial, flexural and torsional rigidity is defined as cost functional. The geometric and material representation is accomplished using level-setcurves. To minimize a cost function, the topological derivative value is used to guide the evolution ofthe level-set curve. A theoretical framework and case studies of academic and industrial applications arepresented.