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Journal articles on the topic 'Magnetorheological Homogenization wave acoustic'

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Published: 4 June 2021
Last updated: 3 February 2022

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1

Shen, Min, and Qi Bai Huang. "Acoustic Properties of Magnetorheological Fluids under Magnetic Fields." Applied Mechanics and Materials 721 (December 2014): 818–23. http://dx.doi.org/10.4028/www.scientific.net/amm.721.818.

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Magneto-Rheological fluid (MRF) is a class of smart material who’s mechanical and rheological properties can be varied rapidly and reversibly by the applied magnetic field. MRF also exhibit fast, strong and reversible changes in the acoustic properties. The goal of this paper is to study the acoustic attenuation and velocity variation of the MRF composite under magnetic field. The model of acoustic wave propagation in MRF was established by Biot-Stoll theory. Some minor changes to the theory had to be applied, modeling both fluid-like and solid-like state of an MRF. The calculated results show that the attenuation coefficient of acoustic wave is improved obviously under the application of magnetic field in wide range frequency.
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2

Willey, Carson, Vincent W. Chen, Ken Scalzi, Philip Buskohl, and Abigail T. Juhl. "Magnetorheological elastomer panels with reconfigurable magnetic mass for acoustic wave absorption." Journal of the Acoustical Society of America 145, no. 3 (March 2019): 1686. http://dx.doi.org/10.1121/1.5101182.

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3

Shaogang Liu, Yuechao Zhao, Dan Zhao, Junchao Wu, and Chunxiao Gao. "Tunable Elastic wave Bandgaps and Waveguides by Acoustic Metamaterials with Magnetorheological Elastomer." Acoustical Physics 66, no. 2 (March 2020): 123–31. http://dx.doi.org/10.1134/s1063771020020086.

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4

Meirmanov, Anvarbek. "A Description of Seismic Acoustic Wave Propagation in Porous Media via Homogenization." SIAM Journal on Mathematical Analysis 40, no. 3 (January 2008): 1272–89. http://dx.doi.org/10.1137/070697483.

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5

Rohan, Eduard, and Vladimír Lukeš. "Homogenization approach for optimal design of perforated layer in acoustic wave propagation." PAMM 11, no. 1 (December 2011): 801–2. http://dx.doi.org/10.1002/pamm.201110389.

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6

Owhadi, Houman, and Lei Zhang. "Numerical homogenization of the acoustic wave equations with a continuum of scales." Computer Methods in Applied Mechanics and Engineering 198, no. 3-4 (December 2008): 397–406. http://dx.doi.org/10.1016/j.cma.2008.08.012.

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7

MEIRMANOV, A. "Homogenized models for filtration and for acoustic wave propagation in thermo-elastic porous media." European Journal of Applied Mathematics 19, no. 3 (June 2008): 259–84. http://dx.doi.org/10.1017/s0956792508007523.

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A system of differential equations describing the joint motion of thermo-elastic porous body and slightly compressible viscous thermofluid occupying pore space is considered. Although the problem is correct in an appropriate functional space, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justification under various conditions imposed on physical parameters is fulfilled for homogenization procedures as the dimensionless size of the pores tends to zero, while the porous body is geometrically periodic. As a result, we derive Biot's system of equations of thermo-poroelasticity, a similar system, consisting of anisotropic Lamé equations for a thermoelastic solid coupled with acoustic equations for a thermofluid, Darcy's system of filtration, or acoustic equations for a thermofluid, according to ratios between physical parameters. The proofs are based on Nguetseng's two-scale convergence method of homogenization in periodic structures.
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8

Craster, R. V., J. Kaplunov, and A. V. Pichugin. "High-frequency homogenization for periodic media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2120 (March 10, 2010): 2341–62. http://dx.doi.org/10.1098/rspa.2009.0612.

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An asymptotic procedure based upon a two-scale approach is developed for wave propagation in a doubly periodic inhomogeneous medium with a characteristic length scale of microstructure far less than that of the macrostructure. In periodic media, there are frequencies for which standing waves, periodic with the period or double period of the cell, on the microscale emerge. These frequencies do not belong to the low-frequency range of validity covered by the classical homogenization theory, which motivates our use of the term ‘high-frequency homogenization’ when perturbing about these standing waves. The resulting long-wave equations are deduced only explicitly dependent upon the macroscale, with the microscale represented by integral quantities. These equations accurately reproduce the behaviour of the Bloch mode spectrum near the edges of the Brillouin zone, hence yielding an explicit way for homogenizing periodic media in the vicinity of ‘cell resonances’. The similarity of such model equations to high-frequency long wavelength asymptotics, for homogeneous acoustic and elastic waveguides, valid in the vicinities of thickness resonances is emphasized. Several illustrative examples are considered and show the efficacy of the developed techniques.
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9

SHELUKHIN, V. V., and A. E. ISAKOV. "Elastic waves in layered media: Two-scale homogenization approach." European Journal of Applied Mathematics 23, no. 6 (August 1, 2012): 691–707. http://dx.doi.org/10.1017/s0956792512000204.

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Using the two-scale convergence approach, we derive equations which govern transversal time-harmonic waves through a layered medium taking the form of a poroelastic composite saturated with a viscous fluid. To improve convergence, we construct a corrector. We study how wave speed and attenuation time depend on porosity and frequency. We prove that the Darcy permeability and the acoustic permeability in the Biot equations do not coincide.
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10

Smith, John D. "Application of the method of asymptotic homogenization to an acoustic metafluid." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2135 (July 13, 2011): 3318–31. http://dx.doi.org/10.1098/rspa.2011.0231.

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The method of asymptotic homogenization is used to find the dynamic effective properties of a metamaterial consisting of two alternating layers of fluid, repeating periodically. As well as the effective wave equation, the method gives the effective equation of motion and constitutive relation in a natural way. When the material properties are such that resonant effects can be present in one of the layers, it is found that the metamaterial changes dynamically from a metafluid with anisotropic density and isotropic stiffness at low frequency to one with anisotropic stiffness when the frequency is near to one of the local resonances. In this region of frequency, the resulting metamaterial is not a pentamode material and thus does not belong to the class of metafluids that can be transformed to an isotropic fluid by a coordinate transformation.
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11

Chen, Xiang, Xiao-ming Wang, and Yu-lin Mei. "Manipulate Vibration Propagation by Anisotropic Honeycomb Structure." MATEC Web of Conferences 175 (2018): 03040. http://dx.doi.org/10.1051/matecconf/201817503040.

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As a new type of acoustic metamaterial, the pentamode material has extensive application prospect in controlling acoustic wave propagation because of its fluid properties. Firstly, a kind of pentamode material unit cell is designed, which is a two-dimensional honeycomb truss structure. Then, the asymptotic homogenization method is used to calculate static parameters of the unit cell, and also the influence of the geometric parameters and material composition of the unit cell on its mechanical properties is studied. Besides, based on transformation acoustics and the design method of the cylindrical cloak proposed by Norris, an acoustic cloak with isotropic density and gradient elastic modulus is constructed by periodically assembling the unit cell to guide the wave to bypass obstacles. Finally, the full displacement field analysis is carried out to prove the stealth effect of the acoustic cloak.
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12

Kaltenbacher, Manfred, and Sebastian Floss. "Nonconforming Finite Elements Based on Nitsche-Type Mortaring for Inhomogeneous Wave Equation." Journal of Theoretical and Computational Acoustics 26, no. 03 (September 2018): 1850028. http://dx.doi.org/10.1142/s2591728518500287.

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We propose the nonconforming Finite Element (FE) method based on Nitsche-type mortaring for efficiently solving the inhomogeneous wave equation, where due to the change of material properties the wavelength in the subdomains strongly differs. Therewith, we gain the flexibility to choose for each subdomain an optimal grid. The proposed method fulfills the physical conditions along the nonconforming interfaces, namely the continuity of the acoustic pressure and the normal component of the acoustic particle velocity. We apply the nonconforming grid method to the computation of transmission loss (TL) of an expansion chamber utilizing micro-perforated panels (MPPs), which are modeled by a homogenization approach via a complex fluid. The results clearly demonstrate the superiority of the nonconforming FE method over the standard FE method concerning pre-processing, mesh generation flexibility and computational time.
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13

Jin, Yabin, Bahram Djafari-Rouhani, and Daniel Torrent. "Gradient index phononic crystals and metamaterials." Nanophotonics 8, no. 5 (February 23, 2019): 685–701. http://dx.doi.org/10.1515/nanoph-2018-0227.

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AbstractPhononic crystals and acoustic metamaterials are periodic structures whose effective properties can be tailored at will to achieve extreme control on wave propagation. Their refractive index is obtained from the homogenization of the infinite periodic system, but it is possible to locally change the properties of a finite crystal in such a way that it results in an effective gradient of the refractive index. In such case the propagation of waves can be accurately described by means of ray theory, and different refractive devices can be designed in the framework of wave propagation in inhomogeneous media. In this paper we review the different devices that have been studied for the control of both bulk and guided acoustic waves based on graded phononic crystals.
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14

van Nuland, Tim FW, Priscilla B. Silva, Ashwin Sridhar, Marc GD Geers, and Varvara G. Kouznetsova. "Transient analysis of nonlinear locally resonant metamaterials via computational homogenization." Mathematics and Mechanics of Solids 24, no. 10 (March 19, 2019): 3136–55. http://dx.doi.org/10.1177/1081286519833100.

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In this paper, the transient computational homogenization scheme is extended to allow for nonlinear elastodynamic phenomena. The framework is used to analyze wave propagation in a locally resonant metamaterial containing hyperelastic rubber-coated inclusions. The ability to properly simulate realistic nonlinearities in elasto-acoustic metamaterials constitutes a step forward in metamaterial design as, so far, the literature has focused only on academic nonlinear material models and simple lattice structures. The accuracy and efficiency of the framework are assessed by comparing the results with direct numerical simulations for transient dynamic analysis. It is found that the band gap features are adequately captured. The ability of the framework to perform accurate nonlinear transient dynamic analyses of finite-size structures is also demonstrated, along with the significant computational time savings achieved.
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15

Vinh, PC, DX Tung, and NT Kieu. "Homogenization of very rough two-dimensional interfaces separating two dissimilar poroelastic solids with time-harmonic motions." Mathematics and Mechanics of Solids 24, no. 5 (August 29, 2018): 1349–67. http://dx.doi.org/10.1177/1081286518794227.

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The homogenization of a very rough three-dimensional interface separating two dissimilar isotropic poroelastic solids with time-harmonic motions was considered by Gilbert and Ou (Acoustic wave propagation in a composite of two different poroelastic materials with a very rough periodic interface: A homogenization approach. Int J Multiscale Comput Eng 2003; 1(4): 431–440). The homogenized equations have been derived; however, they are still in implicit form. In this paper, the homogenization of a very rough two-dimensional interface separating two dissimilar generally anisotropic poroelastic solids with time-harmonic motions is investigated. The main aim of the investigation is to derive homogenized equations in explicit form. By employing the homogenization method, along with the matrix formulation of the poroelasticity theory, the explicit homogenized equations have been derived. Since these equations are totally explicit, they are very useful in solving practical problems. As an example proving this, the reflection and transmission of SH waves at a very rough interface of the tooth-comb type is considered. The closed-form analytical expressions of the reflection and transmission coefficients are obtained. Based on these expressions, the dependence of the reflection and transmission coefficients on some parameters is examined numerically.
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16

Schmitt, Denis P., Michel Bouchon, and Guy Bonnet. "Full‐wave synthetic acoustic logs in radially semiinfinite saturated porous media." GEOPHYSICS 53, no. 6 (June 1988): 807–23. http://dx.doi.org/10.1190/1.1442516.

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The wave field generated by a point source in an axisymmetric fluid‐filled borehole embedded in a saturated porous formation is studied in both the spectral domain and time domain. The formation is modeled following Biot theory modified in accordance with homogenization theory. When the borehole wall is permeable, guided waves can be significantly affected by the permeability of the formation. Whatever the formation, fast or slow, Stoneley‐wave phase velocity and energy decrease and attenuation (in the sense of [Formula: see text]) increases with increasing permeability. These effects are more important in the very low‐frequency range, where Darcy’s law governs the fluid motion and the wave energy at the interface is maximum, than at higher frequencies. The effects increase and persist over a larger frequency range with decreasing viscosity and increasing compressibility of the saturant fluid, with increasing pore‐fluid volume, and with decreasing borehole radius. In contrast, the effects decrease with decreasing stiffness of the formation because of more efficient coupling of the interface wave to the surrounding medium. When present, the first pseudo‐Rayleigh mode also carries useful information. Fluid flow affects only the attenuation of the pseudo‐Rayleigh mode’s Airy phase; an increase in attenuation may be used to detect permeable zones and to infer the saturant fluid properties. However, the most reliable types of information are the formation shear‐wave velocity and attenuation from the low‐frequency part of the mode. In the time domain, all the modes overlap. Any signal processing should then be performed in the frequency domain, where mode spectra are more easily separable. The frequency band of the actual logging tool has to be large enough to ensure significant amplitude for each mode. Finally, the larger the number of receivers and the offset range, the better.
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17

Poulier, P. L., D. Fournier, L. Gizon, and T. L. Duvall. "Acoustic wave propagation through solar granulation: Validity of effective-medium theories, coda waves." Astronomy & Astrophysics 643 (November 2020): A168. http://dx.doi.org/10.1051/0004-6361/202039201.

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Context. The frequencies, lifetimes, and eigenfunctions of solar acoustic waves are affected by turbulent convection, which is random in space and in time. Since the correlation time of solar granulation and the periods of acoustic waves (∼5 min) are similar, the medium in which the waves propagate cannot a priori be assumed to be time independent. Aims. We compare various effective-medium solutions with numerical solutions in order to identify the approximations that can be used in helioseismology. For the sake of simplicity, the medium is one dimensional. Methods. We consider the Keller approximation, the second-order Born approximation, and spatial homogenization to obtain theoretical values for the effective wave speed and attenuation (averaged over the realizations of the medium). Numerically, we computed the first and second statistical moments of the wave field over many thousands of realizations of the medium (finite-amplitude sound-speed perturbations are limited to a 30 Mm band and have a zero mean). Results. The effective wave speed is reduced for both the theories and the simulations. The attenuation of the coherent wave field and the wave speed are best described by the Keller theory. The numerical simulations reveal the presence of coda waves, trailing the ballistic wave packet. These late arrival waves are due to multiple scattering and are easily seen in the second moment of the wave field. Conclusions. We find that the effective wave speed can be calculated, numerically and theoretically, using a single snapshot of the random medium (frozen medium); however, the attenuation is underestimated in the frozen medium compared to the time-dependent medium. Multiple scattering cannot be ignored when modeling acoustic wave propagation through solar granulation.
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18

Guzina, Bojan B., Shixu Meng, and Othman Oudghiri-Idrissi. "A rational framework for dynamic homogenization at finite wavelengths and frequencies." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2223 (March 2019): 20180547. http://dx.doi.org/10.1098/rspa.2018.0547.

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In this study, we establish an inclusive paradigm for the homogenization of scalar wave motion in periodic media (including the source term) at finite frequencies and wavenumbers spanning the first Brillouin zone. We take the eigenvalue problem for the unit cell of periodicity as a point of departure, and we consider the projection of germane Bloch wave function onto a suitable eigenfunction as descriptor of effective wave motion. For generality the finite wavenumber, finite frequency homogenization is pursued in R d via second-order asymptotic expansion about the apexes of ‘wavenumber quadrants’ comprising the first Brillouin zone, at frequencies near given (acoustic or optical) dispersion branch. We also consider the junctures of dispersion branches and ‘dense’ clusters thereof, where the asymptotic analysis reveals several distinct regimes driven by the parity and symmetries of the germane eigenfunction basis. In the case of junctures, one of these asymptotic regimes is shown to describe the so-called Dirac points that are relevant to the phenomenon of topological insulation. On the other hand, the effective model for nearby solution branches is found to invariably entail a Dirac-like system of equations that describes the interacting dispersion surfaces as ‘blunted cones’. For all cases considered, the effective description turns out to admit the same general framework, with differences largely being limited to (i) the eigenfunction basis, (ii) the reference cell of medium periodicity, and (iii) the wavenumber–frequency scaling law underpinning the asymptotic expansion. We illustrate the analytical developments by several examples, including Green's function near the edge of a band gap and clusters of nearby dispersion surfaces.
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19

Meirmanov, A. M. "Derivation of equations of seismic and acoustic wave propagation and equations of filtration via homogenization of periodic structures." Journal of Mathematical Sciences 163, no. 2 (October 27, 2009): 111–50. http://dx.doi.org/10.1007/s10958-009-9666-x.

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20

Gilbert, Robert P., and Miao-jung Ou. "Acoustic Wave Propagation in a Composite of Two Different Poroelastic Materials with a Very Rough Periodic Interface: a Homogenization Approach." International Journal for Multiscale Computational Engineering 1, no. 4 (2003): 431–40. http://dx.doi.org/10.1615/intjmultcompeng.v1.i4.80.

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21

Sridhar, A., V. G. Kouznetsova, and M. G. D. Geers. "Frequency domain boundary value problem analyses of acoustic metamaterials described by an emergent generalized continuum." Computational Mechanics 65, no. 3 (November 28, 2019): 789–805. http://dx.doi.org/10.1007/s00466-019-01795-z.

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AbstractThis paper presents a computational frequency-domain boundary value analysis of acoustic metamaterials and phononic crystals based on a general homogenization framework, which features a novel definition of the macro-scale fields based on the Floquet-Bloch average in combination with a family of characteristic projection functions leading to a generalized macro-scale continuum. Restricting to 1D elastodynamics and the frequency-domain response for the sake of compactness, the boundary value problem on the generalized macro-scale continuum is elaborated. Several challenges are identified, in particular the non-uniqueness in selection of the boundary conditions for the homogenized continuum and the presence of spurious short wave solutions. To this end, procedures for the determination of the homogenized boundary conditions and mitigation of the spurious solutions are proposed. The methodology is validated against the direct numerical simulation on an example periodic 2-phase composite structure.
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22

Semin, Adrien, and Kersten Schmidt. "On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2210 (February 2018): 20170708. http://dx.doi.org/10.1098/rspa.2017.0708.

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The direct numerical simulation of the acoustic wave propagation in multiperforated absorbers with hundreds or thousands of tiny openings would result in a huge number of basis functions to resolve the microstructure. One is, however, primarily interested in effective and so homogenized transmission and absorption properties and how they are influenced by microstructure and its endpoints. For this, we introduce the surface homogenization that asymptotically decomposes the solution in a macroscopic part, a boundary layer corrector close to the interface and a near-field part close to its ends. The effective transmission and absorption properties are expressed by transmission conditions for the macroscopic solution on an infinitely thin interface and corner conditions at its endpoints to ensure the correct singular behaviour, which are intrinsic to the microstructure. We study and give details on the computation of the effective parameters for an inviscid and a viscous model and show their dependence on geometrical properties of the microstructure for the example of Helmholtz equation. Numerical experiments indicate that with the obtained macroscopic solution representation one can achieve an high accuracy for low and high porosities as well as for viscous boundary conditions while using only a small number of basis functions.
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23

Shen, C., Q. C. Zhang, S. Q. Chen, H. Y. Xia, and F. Jin. "Sound Transmission Loss of Adhesively Bonded Sandwich Panels with Pyramidal Truss Core: Theory and Experiment." International Journal of Applied Mechanics 07, no. 01 (February 2015): 1550013. http://dx.doi.org/10.1142/s175882511540013x.

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In this paper, an analytical model is developed to investigate sound transmission loss characteristic of adhesively bonded metal sandwich panels with pyramidal lattice truss cores based on 3D elasticity theory. Meanwhile, practical specimen is fabricated to conduct corresponding sound insulation experiment test via a standing wave tube method. The effective elastic constant of truss cores is derived using one homogenization theory on account of equivalent strain energy. It is found that satisfactory agreement is achieved between theoretical solutions and experiment results, and damping effect of adhesive bonding interface between facesheets and core has a great impact on transmission loss. Further parameter investigations demonstrate the significant effect of the elevation and azimuth angles of the pyramidal cores, which can be conveniently changed to tailor the acoustic performance of the sandwich panels in the whole frequency range.
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24

Hu, Ruize, and Caglar Oskay. "Nonlocal Homogenization Model for Wave Dispersion and Attenuation in Elastic and Viscoelastic Periodic Layered Media." Journal of Applied Mechanics 84, no. 3 (January 12, 2017). http://dx.doi.org/10.1115/1.4035364.

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This manuscript presents a new nonlocal homogenization model (NHM) for wave dispersion and attenuation in elastic and viscoelastic periodic layered media. Homogenization with multiple spatial scales based on asymptotic expansions of up to eighth order is employed to formulate the proposed nonlocal homogenization model. A momentum balance equation, nonlocal in both space and time, is formulated consistent with the gradient elasticity theory. A key contribution in this regard is that all model coefficients including high-order length-scale parameters are derived directly from microstructural material properties and geometry. The capability of the proposed model in capturing the characteristics of wave propagation in heterogeneous media is demonstrated in multiphase elastic and viscoelastic materials. The nonlocal homogenization model is shown to accurately predict wave dispersion and attenuation within the acoustic regime for both elastic and viscoelastic layered composites.
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