Advances in the field of topological mechanics have highlighted a number of special mechanical properties of Maxwell lattices, including the ability to focus zero-energy floppy modes and states of self-stress (SSS) at their edges and interfaces. Due to their topological character, these phenomena are protected against perturbations in the lattice geometry and material properties, which makes them robust against the emergence of structural non-idealities, defects, and damage. Recent computational work has shown that the ability of Maxwell lattices to focus stress along prescribed SSS domain walls can be harnessed for the purpose of protecting other regions in the bulk of the lattice from detrimental stress concentration and, potentially, inhibiting the onset of fracture mechanisms at stress hot spots such as holes and cracks. This property provides a powerful, geometry-based tool for the design of lattice configurations that are robust against damage and fracture. In this work, we provide a comprehensive experiment-driven exploration of this idea in the context of realistic structural lattices characterized by non-ideal, finite-thickness hinges. Our experiments document the onset of pronounced domain wall stress focusing, indicating a remarkable robustness of the polarization even in the presence of the dilutive effects of the structural hinges. We also demonstrate that the polarization protects the lattice against potential failure from defected hinges and cracks in the bulk. Finally, we illustrate numerically the superiority of SSS domain walls compared to other trivial forms of reinforcements.
|Original language||English (US)|
|Journal||International Journal of Solids and Structures|
|State||Published - Jul 1 2023|
Bibliographical noteFunding Information:
The authors acknowledge the support of the National Science Foundation, United States (award CMMI-2027000 ). The authors are grateful to the Minnesota Supercomputing Institute for access to software and computational resources used in the simulations. The authors are also grateful to Pouyan Asem for his help with the experimental setup, and to Harry Liu for assistance with the theoretical background. S.G. is especially grateful to Kuan Zhang for his deep insight and discussions on the problem.
© 2023 Elsevier Ltd
- Damage protection
- Maxwell lattice
- Periodic structures
- Stress concentration
- Tensile testing
- Topological mechanics