Print Email Facebook Twitter Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy Title Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy Author Zheng, Li (ETH Zürich) Kumar, Siddhant (TU Delft Team Sid Kumar; ETH Zürich) Kochmann, Dennis M. (ETH Zürich) Date 2021 Abstract We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid topology for the cellular network on the microscale (which is inspired by natural microstructures forming during spinodal decomposition) admits a seamless spatial grading as well as tunable elastic anisotropy, and it is parametrized by a small set of design parameters associated with the underlying Gaussian random field. The macroscale boundary value problem is discretized by finite elements, which in addition to the displacement field continuously interpolate the microscale design parameters. By assuming a separation of scales, the local constitutive behavior on the macroscale is identified as the homogenized elastic response of the microstructure based on the local design parameters. As a departure from classical FE2-type approaches, we replace the costly microscale homogenization by a data-driven surrogate model, using deep neural networks, which accurately and efficiently maps design parameters onto the effective elasticity tensor. The model is trained on homogenized stiffness data obtained from numerical homogenization by finite elements. As an added benefit, the machine learning setup admits automatic differentiation, so that sensitivities (required for the optimization problem) can be computed exactly and without the need for numerical derivatives – a strategy that holds promise far beyond the elastic stiffness. Therefore, this framework presents a new opportunity for multiscale topology optimization based on data-driven surrogate models. Subject ElasticityFinite element methodMachine learningMultiscaleTopology optimization To reference this document use: http://resolver.tudelft.nl/uuid:5677e89a-7496-4c8f-bf9c-101a94fe4832 DOI https://doi.org/10.1016/j.cma.2021.113894 ISSN 0045-7825 Source Computer Methods in Applied Mechanics and Engineering, 383 Part of collection Institutional Repository Document type journal article Rights © 2021 Li Zheng, Siddhant Kumar, Dennis M. Kochmann Files PDF 1_s2.0_S0045782521002310_main.pdf 4.92 MB Close viewer /islandora/object/uuid:5677e89a-7496-4c8f-bf9c-101a94fe4832/datastream/OBJ/view