• 제목/요약/키워드: Elastic Constants

검색결과 269건 처리시간 0.033초

Measurement of Elastic Constants by Simultaneously Sensing Longitudinal and Shear Waves as an Overlapped Signal

  • Seo, Hogeon;Song, Dong-Gi;Jhang, Kyung-Young
    • 비파괴검사학회지
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    • 제36권2호
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    • pp.138-148
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    • 2016
  • Measurement of elastic constants is crucial for engineering aspects of predicting the behavior of materials under load as well as structural health monitoring of material degradation. Ultrasonic velocity measurement for material properties has been broadly used as a nondestructive evaluation method for material characterization. In particular, pulse-echo method has been extensively utilized as it is not only simple but also effective when only one side of the inspected objects is accessible. However, the conventional technique in this approach measures longitudinal and shear waves individually to obtain their velocities. This produces a set of two data for each measurement. This paper proposes a simultaneous sensing system of longitudinal waves and shear waves for elastic constant measurement. The proposed system senses both these waves simultaneously as a single overlapped signal, which is then analyzed to calculate both the ultrasonic velocities for obtaining elastic constants. Therefore, this system requires just half the number of data to obtain elastic constants compared to the conventional individual measurement. The results of the proposed simultaneous measurement had smaller standard deviations than those in the individual measurement. These results validate that the proposed approach improves the efficiency and reliability of ultrasonic elastic constant measurement by reducing the complexity of the measurement system, its operating procedures, and the number of data.

Twisted Yarn 복합재료의 탄성계수 예측모델 (Elastic Model of Twisted Yarn Composites)

  • 변준형;이상관;엄문광
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 춘계학술발표대회 논문집
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    • pp.57-60
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    • 2002
  • The stiffness model has been proposed to predict elastic constants of twisted yarn composites. The model is based upon the unit cell structure, the coordinate transformation, and the volume averaging of compliance constants for constituent materials. For the correlation of analytic results with experiments, composite samples of various yarn twist angle were tested. The samples were fabricated by the RTM process using glass yarns and epoxy resin. The correlations of elastic constants showed relatively good agreements. The model provides the predictions of the three-dimensional engineering constants, which are valuable input data for the analytic characterization of textile composites made of twisted yarn.

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공진법을 이용한 PMN-PT 단결정의 탄성, 유전, 압전상수 측정 (Measurement of all the Elastic, Dielectric and Piezoelectric Properties of PMN-PT Single Crystals)

  • 이상한;이수성;노용래;이호용;한진호
    • 한국전기전자재료학회논문지
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    • 제17권1호
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    • pp.31-38
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    • 2004
  • PMN-PT, a piezoelectric single crystal, has many useful applications such as sensors and actuators. In this paper, all the elastic, piezoelectric, and dielectric constants of the PMN-32%PT single crystals were measured by the resonance method. For the rhombohedral symmetry, a total of twelve independent material constants were measured such as six elastic compliance constants at constant electric field, two dielectric constants at constant stress, and four piezoelectric constants d. Seven sets of crystal samples of each different geometry were prepared for the measurement of length-thickness extensional, thickness extensional, radial, length extensional and thickness shear modes of vibration, respectively. In order to check the validity of the measurement, experimental impedance spectrum of the PMN-PT crystal was compared with numerical data spectrum calculated with the measured material constants. The good agreement between the two spectra confirmed validity of the results in this paper.

A New Model to Predict Effective Elastic Constants of Composites with Spherical Fillers

  • Kim, Jung-Yun;Lee, Jae-Kon
    • Journal of Mechanical Science and Technology
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    • 제20권11호
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    • pp.1891-1897
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    • 2006
  • In this study, a new model to predict the effective elastic constants of composites with spherical fillers is proposed. The original Eshelby model is extended to a finite filler volume fraction without using Mori-Tanaka's mean field approach. When single filler is embedded in the matrix, the effective elastic constants of the composite are computed. The composite is in turn considered as a new matrix, where new single filler is again embedded in the matrix. The predicted results by the present model with a series of embedding procedures are compared with those by Mori-Tanaka, self-consistent, and generalized self-consistent models. It is revealed through parametric studies such as stiffness ratio of the filler to the matrix and filler volume fraction that the present model gives more accurate predictions than Mori-Tanaka model without using the complicated numerical scheme used in self-consistent and generalized self-consistent models.

초음파의 에너지속도와 위상속도의 주행시간 동시성과 이방성 재료의 탄성계수 결정 (Equivalence of the times of flight by ultrasonic energy and phase velocities and determination of the elastic constants of anisotropic materials)

  • 정현조
    • 한국정밀공학회지
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    • 제11권2호
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    • pp.95-103
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    • 1994
  • The purpose of this paper is to provide the experimenters who use the oblique incidence ultrasonic method for anisotropic elastic constants measurement eith some useful relations. In particular, the equivalence of the times of flight by the energy ad phase velocities, which is key to the oblique incidence method, is proved explicitly. This equivalence greatly simplifies the analysis of immersion measurement results. In oredr to correctly measure the transit time of an immersed sample using the oblique incidence, the receiving transducer should be shifted laterally, and an expression in given for this shift. A method for determining all nine elastic constants of an orthotropic material is briefly described and the measurement results are listed for SiC particulate reinforced A1 matrix composites.

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Theoretical Estimates for Elastic Properties of Biaxial Nematics

  • Allender, David W.
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2005년도 International Meeting on Information Displayvol.I
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    • pp.195-198
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    • 2005
  • Using theoretical analysis based on Landau theory, it is shown that only five phenomenological parameters are necessary to describe the twelve bulk elastic constants of a biaxial nematic phase. Further, a simple method for determining the values of these five parameters experimentally is given. Comparison with the values of the well-known splay, twist, and bend elastic constants of the uniaial nematic is made.

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Assessment of Equivalent Elastic Modulus of Perforated Spherical Plates

  • JUMA, Collins;NAMGUNG, Ihn
    • 한국압력기기공학회 논문집
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    • 제15권1호
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    • pp.8-17
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    • 2019
  • Perforated plates are used for the steam generator tube-sheet and the Reactor Vessel Closure Head in the Nuclear Power Plant. The ASME code, Section III Appendix A-8000, addresses the analysis of perforated plates, however, this analysis is only limited to the flat plate with a triangular perforation pattern. Based on the concept of the effective elastic constants, simulation of flat and spherical perforated plates and their equivalent solid plates were carried out using Finite Element Analysis (FEA). The isotropic material properties of the perforated plate were replaced with anisotropic material properties of the equivalent solid plate and subjected to the same loading conditions. The generated curves of effective elastic constants vs ligament efficiency for the flat perforated plate were in agreement with the design curve provided by ASME code. With this result, a plate with spherical curvature having perforations can be conveniently analyzed with equivalent elastic modulus and equivalent Poisson's ratio.

초음파공명분광법에 의한 Zr-2.5Nb 압력관 재료의 고온 이방성 탄성계수 측정 (Measurement of High Temperature Anisotropic Elastic Constants of Zr-2.5Nb Pressure Tube Materials by Resonant Ultrasound Spectroscopy)

  • 정용무;김성수;김영석
    • 비파괴검사학회지
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    • 제22권2호
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    • pp.140-148
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    • 2002
  • 중수로 압력관으로 사용되는 Zr-2.5Nb 재료의 고온 이방성 탄성계수를 고온 초음파공명분광법(RUS)로 측정하였다. 소형 가열로 내에 알루미나 waveguide와 광대역 초음파 센서를 사용하여 초음파에너지를 시편에 가하고 시편의 공명주파수를 측정하였다. 압력관의 축 방향, 반경 방향, 원주 방향에 일치하도록 장방형 시편을 가공하였으며 각 방향에 대한 탄성계수 텐서 9개의 값을 상온${\sim}500^{\circ}C$ 온도 구간에서 측정하였다. 탄생계수 텐서, $c_{ij}$는 모두 온도가 증가함에 따라 점진적으로 감소하며 원주 방향의 탄성계수가 축 방향 및 반경 방향의 탄성계수보다 높았다. 이것은 Young's modulus나 shear modulus의 경우에도 일치하였으며 축 방향과 반경 방향의 경우 큰 차이를 나타내지 않았다. 축 방향 및 반경 방향의 비틀림 탄생계수가 $150^{\circ}C$ 부근에서 서로 교차하였으며 이는 단결정 지르코늄의 $c_{44}$$c_{66}$의 교차 현상과 일치하였다.