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TECHNICAL PAPERS

Analysis of High Volume Fraction Irregular Particulate Damping Composites

[+] Author and Article Information
R. S. Lakes

Department of Engineering Physics, Engineering Mechanics Program; Biomedical Engineering Department, Materials Science Program and Rheology Research Center, 147 Engineering Research Building, 1500 Engineering Drive, University of Wisconsin-Madison, Madison, WI 53706-1687e-mail: lakes@engr.wisc.edu

S. Kose, H. Bahia

Department of Civil and Environmental Engineering, 1415 Engineering Drive, B243 Engineering Hall, University of Wisconsin-Madison, Madison, WI 53706-1687

J. Eng. Mater. Technol 124(2), 174-178 (Mar 26, 2002) (5 pages) doi:10.1115/1.1448923 History: Received July 02, 2001; Revised September 26, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

Delaware Composites Design Encyclopedia. Reviewing editors, L. A. Carlsson, J. W. Gillespie, Jr. Vol. 2, Micromechanical Materials Modeling. J. M. Whitney, R. L. McCullough, eds. Publisher: Technomic, Lancaster, PA, 1989.
Lesueur,  D., Gerard,  J. F., Claudy,  P., Letoffe,  M. M., Planche,  J. P., and Martin,  D., 1996, “A Structure Related Model to Describe Asphalt Linear Viscoelasticity,” J. Rheol., 40, pp. 813–836.
Chen,  C. P., and Lakes,  R. S., 1993, “Analysis of High Loss Viscoelastic Composites,” J. Mater. Sci., 28, pp. 4299–4304.
Brodt,  M., and Lakes,  R. S., 1995, “Composite Materials Which Exhibit High Stiffness and High Viscoelastic Damping,” J. Compos. Mater., 29, pp. 1823–1833.
Hashin,  Z., and Shtrikman,  S., 1963, “A Variational Approach to the Theory of the Elastic Behavior of Multiphase Materials,” J. Mech. Phys. Solids, 11, pp. 127–140.
Read,  W. T., 1950, “Stress Analysis for Compressible Viscoelastic Materials,” J. Appl. Phys., 21, pp. 671–674.
Gibiansky,  L. V., and Milton,  G. W., 1993, “On the Effective Viscoelastic Moduli of Two Phase Media, I. Rigorous Bounds on the Complex Bulk Modulus,” Proc. R. Soc. London, 440, pp. 163–188.
Gibiansky,  L. V. and Lakes,  R. S., 1993, “Bounds on the Complex Bulk Modulus of a Two-Phase Viscoelastic Composite with Arbitrary Volume Fractions of the Components,” Mech. Mater., 16, pp. 317–331.
Gibiansky,  L. V., and Lakes,  R. S., 1997, “Bounds on the Complex Bulk and Shear Moduli of a Two-Dimensional Two-Phase Viscoelastic Composite,” Mech. Mater., 25, pp. 79–95.
Zaghloul,  S. M., White,  T. D., and Kuczek,  T., 1994, “Use of Three-Dimensional, Dynamic, Nonlinear Analysis to Develop Load Equivalency Factors for Composite Pavement,” Transp. Res. Rec., 1449, pp. 199–208.
Uddin,  W., Zhang,  D., and Fernandez,  F., 1994, “Finite Element Simulations of Pavement Discontinuities and Dynamic Load Response,” Transp. Res. Rec., 1448, pp. 100–106.
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Park, J. B., and Lakes, R. S., Biomaterials, Plenum, 1992.
Cannon, M. L., 1988, “Composite Resins,” Encyclopedia of Medical Devices and Instrumentation, J. G. Webster, ed., Wiley, New York.
Papadogiannis,  Y., Lakes,  R. S., Petrou-Americanos,  A., and Theothoridou-Pahini,  S., 1993, “Temperature Dependence of the Dynamic Viscoelastic Behavior of Chemically and Light Activated Composite Resins,” Dent. Mater., 9, pp. 118–122.
an Loan, C. F., 1997, Introduction to Scientific Computing, A Matrix Vector Approach Using MATLAB, Prentice Hall Inc.
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Kose, S., Guler, M., and Bahia, H. U., “Distribution of Strains within Asphalt Binders in HMA Using Imaging and Finite Element Techniques,” Presented at the Transportation Research Board 76th Annual Meeting, Jan., 2000, Washington, D. C. and accepted for publication in TRB Records for 2000.
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Rosenstiel,  S. F., Land,  M. F., and Crispin,  B. J., 1998, “Dental Luting Agents; a Review of the Current Literature,” J. Prosthet. Dent., 80, pp. 280–301.
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Lakes, R. S., 1998, Viscoelastic Solids, CRC Press, Boca Raton, FL.

Figures

Grahic Jump Location
Histogram of image gray scale. Number of occurrences vs. gray scale value.
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Creation of models of different volume fraction by erosion of layers from surfaces in the original scanned image
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Magnified view of a portion of the finite element mesh for the smallest particles. The full mesh contains 344,064 elements.
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Elastic behavior of particulate composite as a function of volume fraction, based on FEM. Comparison with the Hashin-Shtrikman bounds.
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Viscoelastic behavior of particular composite as a stiffness-loss map with the viscoelastic results of the Hashin-Shtrikman formulas for comparison
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(a) Image (32×43 mm) of asphalt structure. (b) Image of dental composite structure 12. Scale mark: 10 μm. (c) Coated spheres morphology which attains exactly the Hashin-Shtrikman bounds for bulk modulus.
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Stiffness-loss map of common and high performance materials, adapted from 25, with data added based on 1

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