Exploring novel mechanical metamaterials: Unravelling deformation mode coupling and size effects through second-order computational homogenisation

• Type: Article in International Scientific Journal
• Date: 2024

Authors

dos Santos, WF (Author) Other; Lopes, IAR (Author) FEUP; F.M. Andrade Pires (Author) FEUP; Proença, SPB (Author) Other

Journal

Title: International Journal of Solids and Structures

Vol. 292

ISSN: 0020-7683

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-010-1YM

DOI: 10.1016/j.ijsolstr.2024.112724

Abstract (EN): 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 multiscale 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 31