Multi-constrained 3D topology optimization via augmented topological level-set

•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.

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.