Topology Optimization Design of Adjustable Thermal Expansion Metamaterial Based on Independent Continuous Variables
| Autor: | Xing Zhang, Nan Wei, Hong Ling Ye |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Mechanical Engineering Topology optimization Metamaterial 02 engineering and technology 021001 nanoscience & nanotechnology Topology Thermal expansion Continuous variable 020303 mechanical engineering & transports 0203 mechanical engineering Negative thermal expansion Mechanics of Materials General Materials Science 0210 nano-technology |
| Zdroj: | International Journal of Applied Mechanics. :2150032 |
| ISSN: | 1758-826X 1758-8251 |
| Popis: | This paper presents a topology optimization method to construct adjustable thermal expansion metamaterials. The negative thermal expansion (NTE) and extreme positive thermal expansion (EPTE) microstructures are designed, respectively. First, the effective elastic modulus and the effective thermal expansion coefficient of microstructure are derived by the multiscale asymptotic homogenization theory based on the periodic characteristics of the metamaterial. Second, a topology optimization model aiming at extreme thermal expansion coefficient is established and solved based on independent continuous topological variables, which is subjected to the effective elastic modulus and structure weight fraction. Then a cross-precision progressive optimization method is provided to save the computation time and make a smoother boundary. In addition, the specific topological feature for the initial configuration is discussed. Five holes are the necessary condition to obtain adjustable thermal expansion metamaterials for four-axisymmetric structures. Finally, a transformation strategy from NTE to EPTE and the change law of thermal expansion coefficient bounds with effective elastic modulus are studied. Numerical examples show that the NTE and EPTE can be designed in the range of effective elastic modulus from 0.01 to 0.05. The proposed method provides a reference for the novel configuration design of metamaterials. |
| Databáze: | OpenAIRE |
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