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March 12, 2026Reports on Progress in Physics3 citationsOpen Access

Plate lattice metamaterials: From geometric design to multiphysical behaviour beyond mechanics

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XLXinwei LiXSXinran SuXWXinxin Wang

Key Points

  • The review aims to explore the design principles and multiphysical behaviors of plate lattice metamaterials.
  • Classification into pure plates, perforated plates, and hybrid plates.
  • Analysis of mechanical performance and underlying mechanisms.
  • Discussion of applications in acoustics, thermics, and vibrations.
  • Plate lattice metamaterials show superior stiffness, strength, and toughness.
  • Perforated plates enhance manufacturability while offering acoustic and thermal functions.
  • Hybrid plates improve vibration attenuation by integrating additional structural elements.

Abstract

Leveraging membrane-dominated deformation modes, plate lattice metamaterials exhibit superior stiffness, strength, and toughness amongst all lattice metamaterials. Beyond mechanical performances, plate lattices are also emerging as versatile platforms for harnessing a broad spectrum of physical properties, including acoustical, thermal, and vibrational functionalities. This review presents a comprehensive overview of the design principles, classification schemes, underlying mechanisms, and multiphysical properties of plate lattice metamaterials. Architecturally, we propose a classification into three categories:(i) pure plates, (ii) perforated plates, and (iii) hybrid plates. In terms of functions, pure plate lattices maximize mechanical efficiency through in-plane stress transfer; perforated plates enable manufacturability and offer acoustic and thermal active geometries via engineered porosity; hybrid plates integrate truss or other elements to enhance vibration attenuation. The key property-governing mechanisms, such as membrane stress, resonance behaviours, Bragg scattering, forced convection, are deeply explained. We further highlight the intrinsic interplay between different physical responses, illustrating how a single geometric design can concurrently harness multiple functionalities. The review concludes with a forward-looking perspective on emerging applications and the integration of advanced physics-informed methods to accelerate the optimization and implementation of multifunctional plate lattices.

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Cite This Study

Li et al. (2026) studied this question.

synapsesocial.com/papers/69b25b5496eeacc4fcec9ff3https://doi.org/10.1088/1361-6633/ae4efc
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