Document Type
Journal Article
Publication Title
Materials & Design
Publisher
Elsevier
School
School of Engineering
RAS ID
32785
Funders
Australian Research Council
Grant Number
ARC Number : DP160102491, DP210101353
Grant Link
http://purl.org/au-research/grants/arc/DP160102491
Abstract
Pentamode metamaterials are a new class of artificially engineering three-dimensional lattice composites. There exist a few types of pentamode metamaterials that are dominated by ad hoc design motifs, while a systematic design approach is still missing. This paper will present an efficient topological optimization methodology to discover a series of novel pentamode lattice microarchitectures over a range of effective material properties. Firstly, the necessary and sufficient condition that is required for elasticity constants of pentamode micro lattices with at least elastically orthotropic symmetry is derived. Secondly, a general mathematical formulation for design optimization of such pentamode micro lattices is developed. Thirdly, a truss-based three-dimensional ground structure with geometrically orthotropic symmetry is generated, with geometric constraints to avoid intersection and overlap of truss bars within the ground structure. The genetic algorithm is then used to solve the topology optimization problem described by the ground structure. Finally, twenty-four pentamode lattices are designed to demonstrate the effectiveness of the proposed method.
DOI
10.1016/j.matdes.2021.109523
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Comments
Li, Z., Luo, Z., Zhang, L. C., & Wang, C. H. (2021). Topological design of pentamode lattice metamaterials using a ground structure method. Materials & Design, 202, article 109523. https://doi.org/10.1016/j.matdes.2021.109523