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Exploring novel mechanical metamaterials: Unravelling deformation mode coupling and size effects through second-order computational homogenisation.
- Source :
-
International Journal of Solids & Structures . Apr2024, Vol. 292, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
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Abstract
- Architected materials and mechanical metamaterials are known for their unique macroscopic properties and complex behaviour that often defy conventional continuum mechanics. Therefore, in this contribution, a recent multi-scale second-order computational homogenisation method (Dos Santos et al., 2023) is employed to explore these materials under finite strains. The approach combines a second gradient continuum theory at the macro-scale and a representative volume element (RVE) with classical first-order continuum mechanics at the micro-scale. The Method of Multi-scale Virtual Power ensures a consistent scale transition. The predictive capability and applicability of the second-order computational strategy are evaluated through coupled multi-scale numerical simulations. These simulations involve two- and three-dimensional problems, with a strong focus on the development of novel metamaterials, while also accounting for diverse loading conditions, such as tension/compression-induced undulation, bending, and compression-induced torsion. Comparisons with first-order homogenisation and Direct Numerical Simulations validate the approach. Analysis of homogenised consistent tangents reveals valuable insights into macroscopic properties. Overall, the results highlight the capability of the second-order strategy to capture significant phenomena, including second-order deformation modes, coupling deformation mechanisms, and size effects. • A multi-scale second-order homogenisation method is used to explore metamaterials. • A second gradient continuum theory is combined with first-order continuum mechanics. • An assessment is conducted through coupled multi-scale numerical simulations. • Novel metamaterials are investigated for diverse loading conditions. • Higher-order deformation modes, coupling mechanisms and size effects are captured. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207683
- Volume :
- 292
- Database :
- Academic Search Index
- Journal :
- International Journal of Solids & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 175963598
- Full Text :
- https://doi.org/10.1016/j.ijsolstr.2024.112724