Multifunctional metastructures are emerging as key technologies in aerospace engineering due to their stable performance under complex conditions. Based on a bidirectional re‐entrant honeycomb design by introducing dual‐phase arcs, this study proposes a dual‐phase arc re‐entrant honeycomb (DARH) with zero Poisson's ratio. The underlying mechanisms of mechanical and thermal deformation modes of the DARH are analyzed under periodic boundary conditions. Band structures and vibration modes are computed using Bloch's theorem and validated against transmission loss curves, while bandgap formation mechanisms are elucidated through vibration mode analysis. Experimental uniaxial compression and vibration transmission tests confirm the accuracy of the finite element simulations. The effects of parameters such as arc angle, arc radius, material percentage, and wall thickness on the thermo‐mechanical deformation behavior and bandgap evolution of the metastructure are further investigated. Parameters analysis indicates that the DARH can achieve a tunable equivalent coefficient of thermal expansion, ranging from near‐zero to −47.81. In terms of vibration control, the maximum total bandgap width within the target range attains 10218.83 Hz, and broad bandgap coverage from 731.52 to 18 000 Hz can be realized through material combination and parameter adjustment. This work offers valuable insights for designing multifunctional integrated metastructures.
Zheng et al. (Sun,) studied this question.