This paper provides efficient and easy to implement formulations for two problems in structural optimization as second-order cone programming (SOCP) problems based on the minimum compliance method and derived using the principle of complementary en-EPSRC grant EP/E004547/1 Early stages of the developments of this paper are provided in the recent conference… (More)
Thickness optimization can be considered as a case of sizing optimization for plane structures. It can also be used as an intermediate step for topology problems, i.e. we can eliminate the parts where the thickness tends to be zero. This paper is concerned with the case of plane stress structures coupled with the finite element method. The aim is to present… (More)
Here we present a dual kinematic formulation of limit analysis as a second-order cone programming problem, employing linear strain finite elements with a continuous displacement field. The result is a powerful tool for obtaining rigorous and tight upper bounds for very large discretized structures.