Elastic wave band gaps in a three-dimensional periodic metamaterial using the plane wave expansion method

Poggetto, Vinícius F. Dal; Serpa, Alberto Luiz

doi:10.1016/j.ijmecsci.2020.105841

Cited by 57 publications

(25 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We perform band gap analysis for antiplane elastic waves using both mesh configurations and we consider the ACM model as the reference for comparison. To further validate the proposed numerical framework, comparison with analytical results based on plane wave expansion (PWE, we keep this abbreviation in the following) method ( [44]) is provided. The unit cell microstructure, depicted in Fig.…”

Section: Validation Of the T3 Couple Stress Mindlin Plate Element Imp...mentioning

confidence: 99%

A non-classical couple stress based Mindlin plate finite element framework for tuning band gaps of periodic composite micro plates

Xia

Zhang

et al. 2022

Journal of Sound and Vibration

View full text Add to dashboard Cite

Section: Validation Of the T3 Couple Stress Mindlin Plate Element Imp...mentioning

confidence: 99%

A non-classical couple stress based Mindlin plate finite element framework for tuning band gaps of periodic composite micro plates

Xia

Zhang

et al. 2022

Journal of Sound and Vibration

View full text Add to dashboard Cite

“…Even though the sound transmission characteristics of simple panels are commonly obtained considering analytical solutions [29], numerical formulations are generally required for complex structures [30,31]. The PWE method can be applied to determine the wave propagation characteristics of one-, two- [32] and three-dimensional periodic MMs [33], and its improved computational efficiency, when compared with finite-element-based methods [34], further motivates its use for optimization problems [35][36][37]. The PWE method requires the analytical description of the displacement field of the medium and its material/geometric properties using their corresponding Fourier series, which are described in this section.…”

Section: Periodic Media and Fourier Series Representation (A) Plate D...mentioning

confidence: 99%

Bioinspired periodic panels optimized for acoustic insulation

Poggetto

Pugno

Arruda

2022

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

The design of structures that can yield efficient sound insulation performance is a recurring topic in the acoustic engineering field. Special attention is given to panels, which can be designed using several approaches to achieve considerable sound attenuation. Previously, we have presented the concept of thickness-varying periodic plates with optimized profiles to inhibit flexural wave energy propagation. In this work, motivated by biological structures that present multiple locally resonant elements able to cause acoustic cloaking, we extend our shape optimization approach to design panels that achieve improved acoustic insulation performance using either thickness-varying profiles or locally resonant attachments. The optimization is performed using numerical models that combine the Kirchhoff plate theory and the plane wave expansion method. Our results indicate that panels based on locally resonant mechanisms have the advantage of being robust against variation in the incidence angle of acoustic excitation and, therefore, are preferred for single-leaf applications. This article is part of the theme issue ‘Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)’.

show abstract

“…4a. The reader may refer to additional detailed illustrations on the PWE method for analysis of propagating [54][55][56][57][58][59][60][61] and evanescent 62,63 waves in architected elastic structures.…”

Section: A Analytical Techniquesmentioning

confidence: 99%

Design of topological elastic waveguides

Miniaci

Pal

2021

Journal of Applied Physics

View full text Add to dashboard Cite

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

show abstract

Elastic wave band gaps in a three-dimensional periodic metamaterial using the plane wave expansion method

Cited by 57 publications

References 59 publications

A non-classical couple stress based Mindlin plate finite element framework for tuning band gaps of periodic composite micro plates

A non-classical couple stress based Mindlin plate finite element framework for tuning band gaps of periodic composite micro plates

Bioinspired periodic panels optimized for acoustic insulation

Design of topological elastic waveguides

Contact Info

Product

Resources

About