Accelerated Proximal Gradient Method for Elastoplastic Analysis of Large-Scale Trusses

Abstract

A fast first-order optimization method is presented for the quasi-static elastoplastic analysis of large-scale truss structures. The incremental problem is formulated as an unconstrained nonsmooth convex optimization problem. An accelerated proximal gradient method is adopted for solving this unconstrained optimization problem efficiently. The most expensive computation of this method consists of some matrix-vector products, and the method is free from numerical solution of a system of linear equations.