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Article

Boundary Element Analysis of Multiple Scattering Waves in High Performance Concretes

[+] Author and Article Information
Hirotaka Sato, Tetsuo Shoji

Fracture Research Institute, Graduate School of Engineering, Tohoku University, Aoba-yama 01, Sendai 980-8579, Japan

Michihiro Kitahara

Department of Civil Engineering, Graduate School of Engineering, Tohoku University, Aoba-yama 06, Sendai 980-8579, Japan

J. Appl. Mech 72(2), 165-171 (Mar 15, 2005) (7 pages) doi:10.1115/1.1831299 History: Received October 17, 2000; Revised June 17, 2004; Online March 15, 2005
Copyright © 2005 by ASME
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References

Sato,  H., and Shindo,  Y., 2002, “Scattering of Compressional and Shear Waves by a Polygonal Inclusion,” Mech. Adv. Mater. Struct.,9, pp. 81–94.
Sato,  H., and Shindo,  Y., 2002, “Influence of Microstructure on Scattering of Plane Elastic Waves by a Distribution of Partially Debonded Elliptical Inclusions,” Mech. Mater., 34, pp. 401–409.
Yang,  R. B., and Mal,  A. K., 1994, “Multiple Scattering of Elastic Waves in a Fiber-Reinforced Composite,” J. Mech. Phys. Solids, 42, pp. 1945–1968.
Sato,  H., and Shindo,  Y., 2001, “Multiple Scattering of Plane Elastic Waves in a Fiber-Reinforced Composite Medium With Graded Interfacial Layers,” Int. J. Solids Struct., 38, pp. 2549–2571.
Hashin,  Z., and Rosen,  R. W., 1964, “The Elastic Moduli of Fiber-Reinforced Materials,” ASME J. Appl. Mech., 31, pp. 223–232.
Waterman,  P. C., and Truell,  R., 1961, “Multiple Scattering of Elastic Waves,” J. Mech. Phys, 2, pp. 512–537.
Tuchinskii,  L. I., 1983, “Elastic Constants of Pseudoalloys With a Skeletal Structure,” Poroshk. Metall. (Kiev), 247, pp. 85–92.
Wakashima,  K., 1976, “Macroscopic Mechanical Properties of Composite Materials. II. Elastic Moduli and Thermal Expansion Coefficients,” Jpn. Soc. Composite Mater.,2, pp. 161–167 (in Japanese).
Christensen,  R. M., and Lo,  K. H., 1979, “Solutions for Effective Shear Properties in Three Phase Sphere and Cylinder Models,” J. Mech. Phys. Solids, 27, pp. 315–330.

Figures

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Schematic diagram of composite-inclusions medium
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Composite inclusion embedded in the effective medium and coordinate systems
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Micromechanical model of concrete matrix
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Effect of concrete matrix on phase velocity versus frequency for P wave
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Effect of concrete matrix on phase velocity versus frequency for SV wave
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Effect of concrete matrix on attenuation versus frequency for P wave
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Effect of concrete matrix on attenuation versus frequency for SV wave
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Effect of concrete matrix on in-plane bulk modulus versus frequency
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Effect of concrete matrix on in-plane shear modulus versus frequency
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Effect of concrete matrix on phase velocity versus concentration for P wave
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Effect of concrete matrix on attenuation versus concentration for P wave

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