Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy
This paper presents a new framework for optimising three-dimensional hierarchical structures with tailored relative densities and anisotropy of lattice metamaterials. The effective properties of the lattice metamaterials are characterised with numerical homogenisation. Artificial neural network base...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-11-01
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| Series: | Materials & Design |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127521006389 |
| _version_ | 1818690431364366336 |
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| author | Lei Zhu Liao Sun Xiaoyang Wang Nan Li |
| author_facet | Lei Zhu Liao Sun Xiaoyang Wang Nan Li |
| author_sort | Lei Zhu |
| collection | DOAJ |
| description | This paper presents a new framework for optimising three-dimensional hierarchical structures with tailored relative densities and anisotropy of lattice metamaterials. The effective properties of the lattice metamaterials are characterised with numerical homogenisation. Artificial neural network based surrogate models are developed to quantitatively relate lattice struts radii with the effective properties of the lattice metamaterials to improve the computational efficiency of the framework. A new platform integrating user-defined functions with multiple robust and efficient commercial software is developed to implement the proposed optimisation framework. The framework and its implementation are tested using three case studies featuring multiple lattice types and configurations. Case study results show that, compared with results from classical topology optimisation and optimising quasi-isotropic lattice metamaterials, optimised structures composed of tailored anisotropic lattice metamaterials achieved superior structural efficiency. This is attributed to the concurrent optimisation of the intermediate relative densities and anisotropy in the lattice metamaterials. The optimised struts radii distributions approximately align with the paths of the principal stresses. It is also found that the orthogonal struts and diagonal struts especially contribute to the bending and torsion resistance of beams, respectively. |
| first_indexed | 2024-12-17T12:25:53Z |
| format | Article |
| id | doaj.art-c529c40a202c4b3ca0c076300dc393a8 |
| institution | Directory Open Access Journal |
| issn | 0264-1275 |
| language | English |
| last_indexed | 2024-12-17T12:25:53Z |
| publishDate | 2021-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Materials & Design |
| spelling | doaj.art-c529c40a202c4b3ca0c076300dc393a82022-12-21T21:48:47ZengElsevierMaterials & Design0264-12752021-11-01210110083Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropyLei Zhu0Liao Sun1Xiaoyang Wang2Nan Li3Dyson School of Design Engineering, Imperial College London, London, SW7 2AZ, UKThe First Aircraft Institute of AVIC, Xi’an, 710089, ChinaThe First Aircraft Institute of AVIC, Xi’an, 710089, ChinaDyson School of Design Engineering, Imperial College London, London, SW7 2AZ, UK; Corresponding author.This paper presents a new framework for optimising three-dimensional hierarchical structures with tailored relative densities and anisotropy of lattice metamaterials. The effective properties of the lattice metamaterials are characterised with numerical homogenisation. Artificial neural network based surrogate models are developed to quantitatively relate lattice struts radii with the effective properties of the lattice metamaterials to improve the computational efficiency of the framework. A new platform integrating user-defined functions with multiple robust and efficient commercial software is developed to implement the proposed optimisation framework. The framework and its implementation are tested using three case studies featuring multiple lattice types and configurations. Case study results show that, compared with results from classical topology optimisation and optimising quasi-isotropic lattice metamaterials, optimised structures composed of tailored anisotropic lattice metamaterials achieved superior structural efficiency. This is attributed to the concurrent optimisation of the intermediate relative densities and anisotropy in the lattice metamaterials. The optimised struts radii distributions approximately align with the paths of the principal stresses. It is also found that the orthogonal struts and diagonal struts especially contribute to the bending and torsion resistance of beams, respectively.http://www.sciencedirect.com/science/article/pii/S0264127521006389Structural optimisation frameworkLattice metamaterialAnisotropyArtificial neural networkHierarchical structureHomogenisation method |
| spellingShingle | Lei Zhu Liao Sun Xiaoyang Wang Nan Li Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy Materials & Design Structural optimisation framework Lattice metamaterial Anisotropy Artificial neural network Hierarchical structure Homogenisation method |
| title | Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| title_full | Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| title_fullStr | Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| title_full_unstemmed | Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| title_short | Optimisation of three-dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| title_sort | optimisation of three dimensional hierarchical structures with tailored lattice metamaterial anisotropy |
| topic | Structural optimisation framework Lattice metamaterial Anisotropy Artificial neural network Hierarchical structure Homogenisation method |
| url | http://www.sciencedirect.com/science/article/pii/S0264127521006389 |
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