Chiral Buckling of Odd Elastic Circular Plates

The stress–strain relationship of the active system can be characterized by odd elasticity proposed in continuum mechanics, which leads to complex mechanical behavior by converting energy into nonconservative forces. However, current research on odd elasticity has predominantly concentrated on non-Hermitian dynamics. In this paper, the buckling model of odd elastic circular plates is established in the polar coordinate system, and the critical load and buckling modes are obtained by the separation variable method and the Galerkin method. The results show that the non-Hermitian eigenvalue matrix leads to the existence of the imaginary component of the critical load, and the buckling deformation is localized in the center or the periphery of the circular plate. The results also show that the existence of active forces makes odd elastic circular plates exhibit anomalous tensile buckling and active buckling, which both display chiral deformation patterns. The research in this paper can provide a theoretical reference for the design of directional flexion control and intelligent energy-absorbing devices.