Investigation of the effects of the microstructure on the sound absorption performance of polymer foams using a computational homogenization approach

Gao, K Kun; Dommelen, van Jaw Hans; Geers, Mgd Marc

doi:10.1016/j.euromechsol.2016.10.011

Cited by 33 publications

(12 citation statements)

References 50 publications

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“…In recent years, the influence of microstructure on sound absorption performance of PU foam has been verified by simulation and experiment in some papers. [ 11–14 ] Therefore, the sound absorption performance can be improved by optimizing the microstructure of PU foam. [ 15,16 ] Recently, many researchers have used multi‐scale finite element modeling methods of macroscopic parameters and microstructure parameters to obtain the sound absorption coefficient of PU foam.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Microstructure on Sound Absorption of Polyurethane Foams through Numerical Simulation

Chen

Shuai

Zhu

et al. 2021

Macro Theory & Simulations

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It exists an unchanging requirement in modern society to achieve an ideal fuel economy using light acoustic packaging with good sound absorption performance. The Polyurethane (PU) foam with excellent damping properties usually has the characteristics of low mass and low density. Therefore, it is often considered as an ideal sound‐absorbing packaging material. With the further research on the PU foam, we have learned that the inherent microstructure of the PU foam has a special effect on its sound absorption performance. In this paper, the authors theoretically demonstrate the effect of cell size, connectivity and relative pore diameter on sound absorption performance by numerical simulation analysis. From the numerical simulation analysis, the results show that the three cellular structure factors have different effects on the parameters of the Johnson‐Champoux‐Allard (JCA) acoustic model, and all of them can improve the sound absorption coefficient of PU foam. Additionally, the further analysis indicates that the relative pore diameter is the most vital factor to improve the sound absorption performance in the entire frequency domain. This research could be applied to industrial production to reduce the amount of acoustic packaging material used in vehicles while improving the acoustic quality of vehicles.

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Section: Introductionmentioning

confidence: 99%

The Influence of Microstructure on Sound Absorption of Polyurethane Foams through Numerical Simulation

Chen

Shuai

Zhu

et al. 2021

Macro Theory & Simulations

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“…This approach is less computationally intensive, since it uses the computed eight (or fewer) parameters as inputs to the semi-analytical formulas of the JCALP model (or its variations). Such a hybrid approach has been used to investigate the acoustical properties of fibrous materials [37][38][39][40][41][42][43], granular media [33,37,[44][45][46][47], various polymeric and open-cell foams [34,35,[48][49][50][51][52][53][54][55][56][57][58][59], ceramic foams with spherical pores [60], metallic foams [36], and syntactic hybrid foams, i.e. open-cell polyurethane foams with embedded hollow microbeads [61].…”

Section: Introductionmentioning

confidence: 99%

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

Zieliński¹,

Venegas²,

Perrot³

et al. 2020

Journal of Sound and Vibration

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This work presents benchmark examples related to the modelling of sound absorbing porous media with rigid frame based on the periodic geometry of their microstructures. To this end, rigorous mathematical derivations are recalled to provide all necessary equations, useful relations, and formulas for the so-called direct multi-scale computations, as well as for the hybrid multi-scale calculations based on the numerically determined transport parameters of porous materials. The results of such direct and hybrid multi-scale calculations are not only cross verified, but also confirmed by direct numerical simulations based on the linearised Navier-Stokes-Fourier equations. In addition, relevant theoretical and numerical issues are discussed, and some practical hints are given.

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“…A second-order computational homogenization framework which inherently accounts for the size of the microscale model was proposed by Kouznetsova et al [9]. More recently, computational homogenization has been used in various fields to analyze the material behavior, such as acoustics [10], composites [11] among many other fields. A detailed overview of the advances in computational homogenization is presented by Geers et al [12] and Matouš et al [13].…”

Section: Introductionmentioning

confidence: 99%

Integration efficiency for model reduction in micro-mechanical analyses

2017

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Micro-structural analyses are an important tool to understand material behavior on a macroscopic scale. The analysis of a microstructure is usually computationally very demanding and there are several reduced order modeling techniques available in literature to limit the computational costs of repetitive analyses of a single representative volume element. These techniques to speed up the integration at the micro-scale can be roughly divided into two classes; methods interpolating the integrand and cubature methods. The empirical interpolation method (high-performance reduced order modeling) and the empirical cubature method are assessed in terms of their accuracy in approximating the full-order result. A micro-structural volume element is therefore considered, subjected to four load-cases, including cyclic and path-dependent loading. The differences in approximating the micro-and macroscopic quantities of interest are highlighted, e.g. micro-fluctuations and stresses. Algorithmic speed-ups for both methods with respect to the full-order micro-structural model are quantified. The pros and cons of both classes are thereby clearly identified.

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Investigation of the effects of the microstructure on the sound absorption performance of polymer foams using a computational homogenization approach

Cited by 33 publications

References 50 publications

The Influence of Microstructure on Sound Absorption of Polyurethane Foams through Numerical Simulation

The Influence of Microstructure on Sound Absorption of Polyurethane Foams through Numerical Simulation

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

Integration efficiency for model reduction in micro-mechanical analyses

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