Multi-constrained 3D topology optimization via augmented topological level-set. (1st July 2016)

• Record Type: Journal Article
• Authors: Deng, Shiguang; Suresh, Krishnan
• Is Part Of: Computers & structures. Volume 170(2016)
• Page Start: 1
• Page End: 12
• Publication Date: 2016-07-01
• Subjects: Constraints -- Topology optimization -- Level-set -- Lagrangian; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2016.02.009
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Addresses a variety of constraints in topology optimization. Topological sensitivity field is combined with augmented Lagrangian formulation. Assembly-free deflated finite element method is exploited for efficient analysis. Constraints are classified into soft and hard constraints to avoid early termination. Abstract: The objective of this paper is to introduce and demonstrate a robust methodology for solving multi-constrained 3D topology optimization problems. The proposed methodology is a combination of the topological level-set formulation, augmented Lagrangian algorithm, and assembly-free deflated finite element analysis (FEA). The salient features of the proposed method include: (1) it exploits the topological sensitivity fields that can be derived for a variety of constraints, (2) it rests on well-established augmented Lagrangian formulation to solve constrained problems, and (3) it overcomes the computational challenges by employing assembly-free deflated FEA. The proposed method is illustrated through several 3D numerical experiments.