Enhancing level set-based topology optimization with anisotropic graded meshes

TL;DR

This paper introduces an efficient topology optimization algorithm that uses anisotropic graded meshes to produce smooth, mechanically reliable lightweight structures with improved computational performance in 2D and 3D.

Contribution

It develops a novel mesh-adaptive level set method that enhances structural smoothness and mechanical reliability while reducing computational costs.

Findings

Effective in 2D and 3D cases

Produces smooth and reliable topologies

Reduces computational time compared to standard methods

Abstract

We propose a new algorithm for the design of topologically optimized lightweight structures, under a minimum compliance requirement. The new process enhances a standard level set formulation in terms of computational efficiency, thanks to the employment of a strategic computational mesh. We pursue a twofold goal, i.e., to deliver a final layout characterized by a smooth contour and reliable mechanical properties. The smoothness of the optimized structure is ensured by the employment of an anisotropic adapted mesh, which sharply captures the material/void interface. A robust mechanical performance is guaranteed by a uniform tessellation of the internal part of the optimized configuration. A thorough numerical investigation corroborates the effectiveness of the proposed algorithm as a reliable and computationally affordable design tool, both in two- and three-dimensional contexts.