Homogenization-based Stiffness Optimization and Projection of 2D Coated Structures with Orthotropic Infill

Homogenization-based Stiffness Optimization and Projection of 2D Coated Structures with Orthotropic Infill

Computer Methods in Applied Mechanics and Engineering, 2019

Jeroen Groen, Jun Wu, and Ole Sigmund
Department of Mechanical Engineering, DTU
Department of Design Engineering, TU Delft


Overview of the proposed methodology to obtain high-resolution coated designs, with composite orthotropic infill.

Abstract

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.

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Bibtex

@article{Groen2019CMAME, 
    author={Groen, Jeroen and Wu, Jun and Sigmund, Ole}, 
    title={Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill}, 
    journal={Computer Methods in Applied Mechanics and Engineering}, 
    volume={349},
    pages={722-742},
    year={2019}, 
    doi={https://doi.org/10.1016/j.cma.2019.02.031},
    issn = {0045-7825}
}