Multiscale thermal and thermo-structural optimization of three-dimensional lattice structures

This paper develops a robust framework for the multiscale design of three-dimensional lattices with macroscopically tailored thermal and thermo-structural characteristics. A multiscale approach is implemented where the discrete evaluations of small-scale lattice unit cell characteristics are converted to response surface models so that the properties exist as continuous functions of the lattice micro-parameters. The derived framework constitutes free material optimization in the space of manufacturable lattice micro-architecture. The optimization of individual lattice member dimensions is enabled by the adjoint method and the explicit expressions of the response surface material property sensitivities. The approach is demonstrated by solving thermal and thermo-structural optimization problems, significantly extending previous work which focused on linear structural response. The thermal optimization solution shows a design with improved optimality compared to the SIMP methodology. The thermo-structural optimization solution demonstrates the method's capability for attaining a prescribed displacement in response to temperature gradients.

Automated summary

This paper presents a robust framework for multiscale design of three-dimensional lattices with tailored thermal and thermo-structural characteristics. The approach involves converting discrete evaluations of small-scale lattice unit cell characteristics into response surface models, allowing for continuous functions of lattice micro-parameters. The optimization of individual lattice member dimensions is enabled by the adjoint method and explicit expressions of response surface material property sensitivities, extending previous work focused on linear structural response.