Research Highlights
Buckle-Barrel Correspondence Based on Topological Polarization Conversion in Mechanical Metamaterials
Inspired by the bulk-boundary correspondence in condensed matter physics, an analogous relationship is explored in metamaterials, where the underlying topology dictates whether the structure under load buckles or barrels. The underlying mechanism that originates from a polarization conversion in the elementary beam network is discussed. Moreover, these predictions, which can be extended to more complex topologies and higher dimensions, showcase that a mode inversion process governs both global deformations and the orientation of localized shear strains within the bulk. It is anticipated that the buckle-barrel correspondence can be extended to non-Hookean materials, paving the way for predicting the onset and evolution of true failure.

Buckle‐Barrel Correspondence Based on Topological Polarization Conversion in Mechanical Metamaterials. Jingyi Zhang, Jingran Liu, Anton Souslov, María Teresa Pérez Prado, Javier Segurado, Maciek Haranczyk, and Johan Christensen. Advanced Materials 2415962 (2025).