Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials

Eric Li, Z. C. He, J. Y. Hu, X. Y. Long

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In the design of locally resonant acoustic metamaterials (LRAMs), the incompressible rubber is widely used. However, the physical behavior of LRAMs with a ternary structure is very sensitive to the Poisson's ratio of incompressible rubber. The slight variance of Poisson's ratio could lead to a significant change of physical responses of LRAMs. On the other hand, the manufacturing error is unavoidable in the application of LRAMs. Therefore, it is important to predict the upper and lower bounds of physical responses of LRAMs with uncertainty parameters. For the first time, the mathematical model to predict the upper and lower bounds of mechanical response of LRAMs with uncertainty parameters such as Young's modulus, Poisson's ratio and density, is established by the nonlinear interval perturbation hybrid node-based smoothed finite element method (NIPH-NS/FEM). One of the main features of NIPH-NS/FEM with a softened effect in the discretized model is capable to overcome the volumetric locking issue of incompressible rubber in the standard finite element method (FEM). The accuracy and effectiveness of NIPH-NS/FEM have been validated by two numerical examples including LRAMs with binary and ternary structures.

Original languageEnglish
Pages (from-to)128-148
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume324
Early online date23 Jun 2017
DOIs
Publication statusPublished - 1 Sep 2017

Fingerprint Dive into the research topics of 'Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials'. Together they form a unique fingerprint.

  • Cite this