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Research Papers

Multicoating Inhomogeneities Problem for Effective Viscoelastic Properties of Particulate Composite Materials

[+] Author and Article Information
Yao Koutsawa1

Laboratoire de Physique et Mécanique des Matériaux, UMR CNRS 7554, Université Paul Verlaine-Metz, ISGMP Ile du Saulcy, 57045 Metz, Franceyao.koutsawa@univ-metz.fr

Mohammed Cherkaoui

Unité Mixte Internationale UMI GT CNRS 2958, Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

El Mostafa Daya

Laboratoire de Physique et Mécanique des Matériaux, UMR CNRS 7554, Université Paul Verlaine-Metz, ISGMP Ile du Saulcy, 57045 Metz, France

1

Corresponding author.

J. Eng. Mater. Technol 131(2), 021012 (Mar 09, 2009) (11 pages) doi:10.1115/1.3086336 History: Received October 15, 2007; Revised August 08, 2008; Published March 09, 2009

The present work extends the multicoated micromechanical model of Lipinski (2006, “Micromechanical Modeling of an Arbitrary Ellipsoidal Multi-Coated Inclusion,” Philos. Mag., 86(10), pp. 1305–1326) in the quasistatic domain to compute the effective material moduli of a viscoelastic material containing multicoated spherical inclusions displaying elastic or viscoelastic behavior. Losses are taken into account by introducing the frequency-dependent complex stiffness tensors of the viscoelastic matrix and the multicoated inclusions. The advantage of the micromechanical model is that it is applicable to the case of nonspherical multicoated inclusions embedded in anisotropic materials. The numerical simulations indicate that with proper choice of material properties, it is possible to engineer multiphase polymer system to have a high-loss modulus (good energy dissipation characteristics) for a wide range of frequencies without substantially degrading the stiffness of the composite (storage modulus). The numerical analyses show also that with respect to the relative magnitudes of the loss factors and the storage moduli of the matrix, inclusion and coating, the overall properties of the viscoelastic particulate composite are dominated by the properties of the matrices in some frequency ranges. The model can thus be a suitable tool to explore a wide range of microstructures for the design of materials with high capacity to absorb acoustic and vibrational energies.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Topology of a multicoated inclusion embedded in a limitless matrix. Σ̂ij and Êij represent the macroscopically applied stresses and strains, respectively.

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Figure 2

Properties of the three viscoelastic phases

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Figure 3

Effective properties of viscoelastic composite with a matrix B and an inclusion A

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Figure 4

Effective properties of viscoelastic composite with a matrix PVB and an inclusion B

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Figure 5

Effective properties of viscoelastic composite with a matrix PVB and an inclusion A

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Figure 6

Effective properties of viscoelastic composite with a matrix A and an inclusion B

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Figure 7

Effective properties of viscoelastic composite with a matrix A and a PVB inclusion

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Figure 8

Effective properties of viscoelastic composite with matrix B and inclusion PVB

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Figure 9

Effective properties of viscoelastic composite with matrix B, inclusion PVB and coating A

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Figure 10

Effective properties of viscoelastic composite with matrix PVB, negative stiffness inclusion. r=−μI/R(μ̂M)

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