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Theoretical study of two-dimensional pentamode metamaterials with arbitrary primitive cells

Q. LI1,2,* , K. WU1, M. ZHANG1

Affiliation

  1. Naval Architecture and Ocean Engineering College, Dalian Maritime University, Dalian, 116026, China
  2. Polar Shipping and Safety Institute, Dalian Maritime University, Dalian, 116026, China

Abstract

Pentamode metamaterials are those with vanishing shear modulus that can only resist compressional stresses. In this paper, two-dimensional pentamode metamaterials with arbitrary primitive cell are studied. The phononic band structures of selected primitive cells are calculated to verify that there are pentamode bands where only compressional waves exist. The band widths of different unit cells are calculated to show the effect of the cell shape on the pentamode bands. The effect of geometric parameters of the primitive cells on their effective properties are also analyzed. Acoustic waves in water with pentamode cells are simulated to show the water-like properties.

Keywords

Acoustic metamaterials, Pentamode metamaterials, Arbitrary primitive cell, Phononic band structures.

Citation

Q. LI, K. WU, M. ZHANG, Theoretical study of two-dimensional pentamode metamaterials with arbitrary primitive cells, Optoelectronics and Advanced Materials - Rapid Communications, 16, 7-8, July-August 2022, pp.380-387 (2022).

Submitted at: March 4, 2022

Accepted at: Aug. 10, 2022