• Title/Summary/Keyword: 준결정근사법

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Prediction of Elastic Constants and Attenuation Coefficients by the Analysis of Elastic Wave Propagation in Composite Material. (복합재료내의 탄성파 전파의 해석에 의한 탄성계수와 감쇠계수의 예측)

  • 김진연
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1992.06a
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    • pp.96-99
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    • 1992
  • 섬유강화 복합재료의 동탄성계수와 감쇠특성을 규명하기 위하여 랜덤하게 분포된 무한 실린더 형상의 산란체를 가진 매질내에서, 조화운동을 하는 압축 및 SV탄성파의 전파에 관하여 연구하였다. 단일 실린더에 대한 산란계수로부터 La의 준결정근사법을 이용하여 다중산란에 관한 이론을 유도하였고, 매질내에서의 파동전파 특성을 내포하는 분산관계식을 얻었다. 수치적으로 분산관계식의 해를 구함으로써 2 차원 유효체적강성, 횡방향 유효전단강성 및 각 파동의 전파에 따른 감쇠계수를 주파수와 체적비의 함수로서 제시하였다.

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Multiple Scattering of Elastic SH Waves by Randomly Distributed Ciecular Cylinders : Characterization of Dynamic Properties of FRC (랜덤하게 분포한 원형 실린더에 의한 SH 탄성파의 다중산란 : 섬유강화 복합재료의 동특성파악)

  • Kim, Jin-Yeon;Ih, Jeong-Guon
    • The Journal of the Acoustical Society of Korea
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    • v.11 no.4
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    • pp.22-30
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    • 1992
  • The propagation of coherent time-harmonic elastic SH waves in a medium with random distribution of cylindrical inclusions is studied for characterizing the dynamic elastic modulus and the attenuation property of fiber-reinforced composite materials. A multiple scattering theory using the single scattering coefficients in conjunction with the Lax's quasicrystalline approximation is derived and from which the dispersion relation for such medium is obtained. The pair-correlation functions between the cylinders which are needed to formulate the multiple scattering interaction between the cylinders are obtained by Monte Carlo simulation method.From the numerically calculated complex wavenumbers, the propagation speed of the average wave, the coherent attenuation coefficient and the effective shear modulus are presented as functions of frequency and area density.

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Theoretical Prediction of Dynamic Elastic Moduli and Attenuation Properties of Fiber-Reinforced Composite Materials (섬유강화 복합재료의 동탄성계수 및 감쇠특성의 이론적 예측)

  • 김진연;이정권
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2328-2339
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    • 1992
  • The propagation of coherent time-harmonic elastic L-and SV-waves is studied in a medium with random distribution of cylindrical inclusions. The purpose of the research is to characterize the dynamic elastic moduli and the attenuation properties of fiber-reinforced composite materials. The cylindes representing the fibers are assumed to be distributed in parallel with each other and the direction of incident waves are normal to the cylinder axes. A multiple scattering formula using the single scattering coefficients in conjunction with the Lax's quasicrystalline approximation is derived from which the dispersion relation for such medium is obtained. In order to formulate the multiple scattering interaction between cylinders, the pair correlation functions are generated by the Monte Carlo simulation technique. From the numerically evaluated complex wavenumbers, the propagation speed of the average wave, the coherent attenuation and the effective elastic moduli are presented as functions of frequency and fiber volume fraction.