A sequential convex optimization method for multimaterial compliance design problems. (February 2019)

• Record Type: Journal Article
• Authors: Kennedy, Graeme J.; Chin, Ting Wei
• Is Part Of: Computers & structures. Volume 212(2019)
• Page Start: 110
• Page End: 124
• Publication Date: 2019-02
• Subjects: Topology optimization -- Multimaterial optimization -- Convex optimization -- Discrete Material Optimization (DMO) -- Inexact Newton–Krylov method -- Hessian-vector products; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2018.10.007
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Multimaterial and topology compliance designs are optimized via a sequential convex method. Discrete material optimization parametrization utilizes either RAMP or SIMP penalization. Compliance values obtained from the sequence of subproblems is non-increasing. Subproblems are optimized using an inexact Newton–Krylov interior point method. The algorithm is demonstrated on both multimaterial isotropic and orthotropic structures. Abstract: This paper presents a sequential convex optimization method for minimum compliance design of multimaterial problems. The proposed method uses a multimaterial parametrization based on SIMP or RAMP penalization. At each iteration of the algorithm, a convex subproblem is constructed by forming a nonlinear, convex approximation of the penalized compliance based on a linearization of the stiffness matrix. Subsequent solutions of the convex subproblems form a non-increasing sequence of compliance values. The subproblems are solved using a tailored inexact Newton–Krylov interior point method that leverages relatively inexpensive Hessian-vector products. The algorithm is demonstrated on a series of isotropic and orthotropic multimaterial plane stress design problems.