Benchmarks for microstructure-based modelling of sound absorbing rigid-frame porous media

Zieliński, Tomasz G.; Venegas, Rodolfo; Perrot, Camille; Červenka, Milan; Chevillotte, Fabien; Attenborough, Keith

doi:10.1016/j.jsv.2020.115441

Cited by 51 publications

(44 citation statements)

References 71 publications

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“…For this reason, although the porosities of both periodic cells are almost identical, their tortuosities and permeabilities are very different, which entails significant differences in the propagation and absorption of airborne acoustic waves. To justify this, we briefly explain below how these non-acoustic properties are related to sound propagation in porous media [1,30].…”

Section: Opc Vs Fpcmentioning

confidence: 99%

“…It seems that such comparative acoustic tests can also be used to assess the quality of reproduction of designed materials with fine details. The main purpose of this study is to check the feasibility and accuracy of reproduction of the designed periodic geometry using additive manufacturing, which should serve to prototype samples used for validation of advanced modelling of sound-absorbing porous materials [30] and metamaterials with designed (possibly optimised) periodic geometry efficient in the low and medium audible frequency ranges. The focus is on the attenuation of airborne acoustic waves penetrating porous media with a rigid skeleton.…”

Section: Introductionmentioning

confidence: 99%

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Reproducibility of sound-absorbing periodic porous materials using additive manufacturing technologies: Round robin study

Zieliński

Opiela

Pawłowski

et al. 2020

Additive Manufacturing

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The purpose of this work is to check if additive manufacturing technologies are suitable for reproducing porous samples designed for sound absorption. The work is an inter-laboratory test, in which the production of samples and their acoustic measurements are carried out independently by different laboratories, sharing only the same geometry codes describing agreed periodic cellular designs. Different additive manufacturing technologies and equipment are used to make samples. Although most of the results obtained from measurements performed on samples with the same cellular design are very close, it is shown that some discrepancies are due to shape and surface imperfections, or microporosity, induced by the manufacturing process. The proposed periodic cellular designs can be easily reproduced and are suitable for further benchmarking of additive manufacturing techniques for rapid prototyping of acoustic materials and metamaterials.

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Section: Opc Vs Fpcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reproducibility of sound-absorbing periodic porous materials using additive manufacturing technologies: Round robin study

Zieliński

Opiela

Pawłowski

et al. 2020

Additive Manufacturing

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“…To sum up, from a given geometry of the unit cell, one can compute the JCAL parameters as in Refs. [ 13 , 14 , 15 ] using FEM. From the JCAL parameters, we obtain the mass density tensor

and bulk modulus

of the homogenized medium [ 9 ].…”

Section: Reminder On Anisotropic and Graded Porous Materialsmentioning

confidence: 99%

“…The method consists in the application of a two-scale asymptotic homogenization to governing fundamental equations. The JCAL parameters are then calculated by integrating the computed fields [ 13 , 14 , 15 ].…”

Section: Introductionmentioning

confidence: 99%

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Graded and Anisotropic Porous Materials for Broadband and Angular Maximal Acoustic Absorption

et al. 2020

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The design of graded and anisotropic materials has been of significant interest, especially for sound absorption purposes. Together with the rise of additive manufacturing techniques, new possibilities are emerging from engineered porous micro-structures. In this work, we present a theoretical and numerical study of graded and anisotropic porous materials, for optimal broadband and angular absorption. Through a parametric study, the effective acoustic and geometric parameters of homogenized anisotropic unit cells constitute a database in which the optimal anisotropic and graded material will be searched for. We develop an optimization technique based on the simplex method that is relying on this database. The concepts of average absorption and diffuse field absorption coefficients are introduced and used to maximize angular acoustic absorption. Numerical results present the optimized absorption of the designed anisotropic and graded porous materials for different acoustic targets. The designed materials have anisotropic and graded effective properties, which enhance its sound absorption capabilities. While the anisotropy largely enhances the diffuse field absorbing when optimized at a single frequency, graded properties appear to be crucial for optimal broadband diffuse field absorption.

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The scaled boundary finite element method for dispersive wave propagation in higher‐order continua

Daneshyar

Sotoudeh

Ghaemian

2022

Numerical Meth Engineering

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The classical theory of elasticity relies on the perfect structure of matter. No matter how small a medium is, it always stays homogeneous-but the reality is different. Even though the classical continuum mechanics suffices well for describing phenomena that evolve at super-microscopic scales, it ceases to reproduce reasonable responses when the size effects are pronounced. It is due to the local constitutive equations of classical continuum mechanics, which are devoid of any length scales associated with the underlying microstructure.The gradient-dependent theory of elasticity redresses this shortcoming by incorporating the kinematic quantities of the corresponding representative volume element by enriching the differential equations with higher-order spatial and temporal derivatives. In this study, the scaled boundary finite element method is formulated for the equations of motion with higher-order inertia terms. To this end, the semi-discretized scaled boundary finite element equations of the medium are derived by introducing the scaled boundary transformation of geometry to the gradient-enriched equations of motion and applying the Galerkin method of weighted residuals. It is shown that the well-established available solution methods are incapable of handling the frequency-domain representation of the derived formulation. Accordingly, a numerical solution method based on the shooting technique is proposed. The solution procedure is formulated for general numerical integration schemes via the infinite Taylor series. The evolution of the impedance-diffusion matrix and contribution of inter-subdomain forces and tractions are extracted. Four different numerical integration methods are employed to describe the solution procedure. In addition, a comparison regarding their computational efficiency is presented. For the sake of verification, the scaled boundary finite element solutions of three numerical examples are compared with reference solutions that are obtained using finite element models with extremely fine meshes. The convergence trends are also presented for both h-and p-refinement methods. The results demonstrate the capability of the proposed formulation in reproducing accurate responses.

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Benchmarks for microstructure-based modelling of sound absorbing rigid-frame porous media

Cited by 51 publications

References 71 publications

Reproducibility of sound-absorbing periodic porous materials using additive manufacturing technologies: Round robin study

Reproducibility of sound-absorbing periodic porous materials using additive manufacturing technologies: Round robin study

Graded and Anisotropic Porous Materials for Broadband and Angular Maximal Acoustic Absorption

The scaled boundary finite element method for dispersive wave propagation in higher‐order continua

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