Metamaterials design with a desired thermal expansion using a multi-material BESO method

The use of computational evolutionary strategies in the design of metamaterials with desired thermal expansion coefficients is uncommon due to the discrete nature of the design variables. This work presents a Bi-directional Evolutionary Structural Optimization (BESO) based methodology for designing...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2022-12, Vol.65 (12), Article 355
Main Authors: Anaya-Jaimes, L. M., Vicente, W. M., Pavanello, R.
Format: Article
Language:English
Subjects:
Additive manufacturing
Algorithms
Computational Mathematics and Numerical Analysis
Design
Engineering
Engineering Design
Evolution
Homogenization
Interpolation
Metamaterials
Methods
Optimization
Research Paper
Sensitivity
Stiffness
Theoretical and Applied Mechanics
Thermal expansion
Topology
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Summary:The use of computational evolutionary strategies in the design of metamaterials with desired thermal expansion coefficients is uncommon due to the discrete nature of the design variables. This work presents a Bi-directional Evolutionary Structural Optimization (BESO) based methodology for designing orthotropic metamaterials with a specific thermal expansion coefficient using an objective function considering only the thermal expansion coefficients, with no constraints on geometry or stiffness. Topologies of the metamaterials, composed of two material phases and a void, are obtained using a material interpolation between neighboring material phases and three easy-to-implement numerical strategies to stabilize the evolutionary process. Two are on the sensitivity calculation and one is on the addition ratio’s value. The strategies applied to the sensitivity numbers are proposed to avoid the positive and negative values of the elemental sensitivity numbers and the element change between no neighboring materials. Additionally, the addition ratio’s value reduction strategy assures the convergence of the thermal expansion properties to the desired value. The homogenization method is used to obtain the equivalent thermal expansion properties of the designed materials. Some numerical examples are presented to show the potential and effectiveness of the proposed methodology.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-022-03448-x