Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill

• Published in: Computer methods in applied mechanics and engineering 2019-06, Vol.349, p.722-742
• Main Authors: Groen, Jeroen P., Wu, Jun, Sigmund, Ole
• Format: Article
• Language: English
• Subjects: Coated structures; Composite materials; High-resolution; Homogenization; Infill; Stiffness; Topology optimization
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2019.02.031

This paper concerns compliance minimization and projection of coated structures with orthotropic infill material in 2D. The purpose of the work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. The design space is relaxed to allow for a composite material description, which means that designs with complex microstructures can be obtained on relatively coarse meshes. Second, a method is presented to project the homogenization-based designs on a fine but realizable scale. A novel method to adaptively refine the lattice structure is presented to allow for a regular spacing of the infill. Numerical experiments show excellent behavior of the projected designs, with structural performance almost identical to the homogenization-based designs. Furthermore, a reduction in computational cost of at least an order of magnitude is achieved, compared to a related approach in which the infill is optimized using a density-based approach. •Homogenization-based topology optimization of coated structures is performed using orthotropic infill material.•Near-optimal designs can be obtained on a relatively coarse mesh.•The designs are subsequently projected on a fine but realizable scale.•The infill is kept as regular as possible using a novel scheme that adaptively refines the periodicity.•The projected designs perform excellent in terms of compliance.•A reduction in computational cost of at least one order of magnitude is achieved compared to density-based optimization of coating and infill.