• 제목/요약/키워드: elastic materials

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이방성 재료에서의 탄성파 전파 과정에 대한 시뮬레이션 (Simulation of Elastic Wave Propagation in Anisotropic Materials)

  • 김영환;이승석
    • 비파괴검사학회지
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    • 제17권4호
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    • pp.227-236
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    • 1997
  • 탄성파 전파 과정의 정량적인 이해와 그 가시화는 결함 탐지는 물론이고, 재료의 물성 평가에 매우 중요하다. 대상 재료가 이방성을 지닐 경우에 탄성파 전파 과정은 복잡해져서 전파 과정의 해석 및 가시화 작업은 탄성파를 이용하는 결함 탐지 및 재질 평가에서는 필수적이다. 이방성 재료에서는 탄성파의 속도가 방향에 따라서 달라짐은 물론이고, 위상 속도와 군 속도의 방향이 어긋나서 파면이 진행하는 방향과 에너지가 진행하는 방향이 달라진다(beam skewing 효과). 특히 복합재료와 같이 이방성이 큰 재료에서는 이 효과가 매우 크게 나타나므로 탄성파를 이용한 시험 결과를 해석하고자 할 때에는 반드시 전파 과정을 이해해야 한다. 이방성 재료에 대해 해석적인 접근에는 한계가 있어서 유한차분법(finite difference method: FDM)과 같은 수치 해석 방법이 유용하게 사용되고 있다. 본 연구에서는 탄성파 전파 과정을 해석할 수 있는 2차원 FDM 프로그램을 개발하고, 이를 이용하여 이방성 재료에서의 탄성파 전파에 대한 전산 시뮬레이션 결과를 비교 분석한다.

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열피로가 부가된 Carbon-Epoxy 복합재료의 탄성계수 변화에 관한 연구 (A Study on Variations of Elastic Modulus of Carbon-epoxy Composites with Thermal Fatigue Cycles)

  • 이동식;김형삼;이재혁;박세만
    • 한국재료학회지
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    • 제9권8호
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    • pp.763-767
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    • 1999
  • 자동차, 항공기 및 기타 산업에서 복합재료의 사용은 증가되어 왔고 활발한 연구가 진행되고 있다. 이러한 복합재료중의 하나인 Carbon-epoxy 복합재료의 열 특성에 관하여 알아보았다. 반복적인 냉각과 가열이 부가되는 열 피로에서 복합재료의 탄성계수의 변화를 관찰하여 봄으로써 복합재료가 가지고 있는 여러 열 특성에 관하여 연구하였다. 일반적으로 복합재료는 온도가 증가하면 탄성계수가 감소한다고 알려져 있다. 이러한 결과와는 달리 본 연구에서 수행한 실험에서는 열 피로가 부가되었을 때에는 어느 정도 온도까지는 탄성계수가 증가하다가 다시 감소하는 특이한 현상을 관찰할 수 있었다.

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다방향으로 입체 보강된 복합재 노즐의 열탄성해석 (Thermo-Elastic Analysis of the Spatially Reinforced Composite Nozzle)

  • 유재석;김광수;이상의;김천곤
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.100-105
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    • 2002
  • This paper predicts the material properties of spatially reinforced composites (SRC) and analyzes the thermo-elastic behavior of a kick motor nozzle manufactured from that material. To find the appropriate SRC structure for the nozzle throat that satisfies given design conditions, the equivalent material properties of the SRC are predicted using the superposition method for those of rod and matrix. Studied are the elastic behavior, temperature distribution, and thermo-elastic behavior of a kick motor nozzle composed of carbon/carbon SRC as a throat part. The elastic deformation of the nozzle composed of 3D carbon/carbon SRC shows asymmetry in a circumferential direction. However, 4D carbon/carbon SRC nozzle shows uniform deformation in the circumferential direction. Stress concentration in connecting parts of the kick motor nozzle is ultimately high due to the high temperature gradient in each connecting part. The thermo-elastic deformations of both the 3D and the 4D SRC nozzles are uniform in the circumferential direction due to the isotropy of CTE of each SRC. The deformation of the 3D SRC nozzle is a slightly smaller than that of the 4D SRC nozzle in the nozzle throat, which is favorably effective on rocket thrust. The circumferential stress is the most critical component of the kick motor nozzle. The 4D SRC nozzle having 1,1,1,1.7 diameters in each direction has the smallest circumferential stress among several SRC nozzles.

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Dynamic instability analysis for S-FGM plates embedded in Pasternak elastic medium using the modified couple stress theory

  • Park, Weon-Tae;Han, Sung-Cheon;Jung, Woo-Young;Lee, Won-Hong
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1239-1259
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    • 2016
  • The modified couple stress-based third-order shear deformation theory is presented for sigmoid functionally graded materials (S-FGM) plates. The advantage of the modified couple stress theory is the involvement of only one material length scale parameter which causes to create symmetric couple stress tensor and to use it more easily. Analytical solution for dynamic instability analysis of S-FGM plates on elastic medium is investigated. The present models contain two-constituent material variation through the plate thickness. The equations of motion are derived from Hamilton's energy principle. The governing equations are then written in the form of Mathieu-Hill equations and then Bolotin's method is employed to determine the instability regions. The boundaries of the instability regions are represented in the dynamic load and excitation frequency plane. It is assumed that the elastic medium is modeled as Pasternak elastic medium. The effects of static and dynamic load, power law index, material length scale parameter, side-to-thickness ratio, and elastic medium parameter have been discussed. The width of the instability region for an S-FGM plate decreases with the decrease of material length scale parameter. The study is relevant to the dynamic simulation of micro structures embedded in elastic medium subjected to intense compression and tension.

절리암반에서의 탄성파 전파 특성 (Elastic Wave Propagation in Jointed Rock Mass)

  • 차민수;조계춘;박승형
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.515-520
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    • 2005
  • The behavior of jointed rock mass is much different from that of intact rock due to the presence of joints. Similarly, the characteristics of elastic wave propagation in jointed rock are considerably different from those of intact rock. The propagation of elastic waves in jointed rock is greatly dependent on the state of stress. The roughness, filling materials, and spacing of joints also affect wave propagation in jointed rock. If the wavelength of elastic waves is much larger than the spacing between joints, wave propagation in jointed rock mass can be considered as wave propagation in equivalent continuum. A rock resonant column testing apparatus is made to measure elastic waves propagating through jointed rock in the state of equivalent continuum. Three types of wave, i.e, torsional, longitudinal and flexural waves are monitored during rock resonant column tests. Various roughness and filling materials are applied to joints, and rock columns with various spacings are used to understand how these factors affect wave propagation under a small strain condition. The experimental results suggest that the characteristics of wave propagation in jointed rock mass are governed by the state of stress and influenced by roughness, filling materials and joint spacings.

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Kineto-Elasto Static and Dynamic Responses of a Fully Elastic Linked, Four-bar Mechanism

  • 신중호
    • 한국기계연구소 소보
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    • 통권17호
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    • pp.99-109
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    • 1987
  • Mechanisms with fully elastic members must consider both inertial forces due to the rigid motion of mechanisms and due to the elastic vibration of links. The main objectives of the kineto-elasto static and dynamic analyses are to calculate the quasi-static and the time-domain responses, respectively. An iterative transfer matrix method is used for a four-bar, fully elastic linked mechanism. Houbolt direct integration scheme is incorporated for the inertial effects due to the elastic link vibration. The analytical results are compared with the experimental responses and both responses show in good agreement.

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The Effect of Mechanical Properties of Polishing Pads on Oxide CMP ( Chemical Mechanical Planarization )

  • Hong, Yi-Koan;Eom, Dae-Hong;Kang, Young-Jae;Park, Jin-Goo;Kim, Jae-Suk;Kim, Geon;Lee, Ju-Yeol;Park, In-Ha
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
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    • pp.445-446
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    • 2002
  • The purpose of this study was to investigate the effect of micro holes, pattern structure and elastic modulus of pads on the polishing behavior such as the removal rate and WIWNU (within wafer non-uniformity) during CMP. The regular holes on the pad act as the superior abrasive particle's reservoir and regular distributor at the bulk pad, respectively. The superior CMP performance was observed at the laser processed bulk pad with holes. Also, th ε groove pattern shape was very important for the effective polishing. Wave grooved pad showed higher removal rates than K-grooved pad. The removal rate was linearly increased as the top pad's elastic modulus increased.

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Wave Propagation Analysis in Inhomogeneous Media by Using the Fourier Method

  • Kim, Hyun-Sil;Kim, Jae-Seung;Kang, Hyun-Joo;Kim, Sang-Ryul
    • The Journal of the Acoustical Society of Korea
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    • 제17권3E호
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    • pp.35-42
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    • 1998
  • Transient acoustic and elastic wave propagation in inhomogeneous media are studied by using the Fourier method. It is known that the fourier method has advantages in memory requirements and computing speed over conventional methods such as FDM and FEM, because the Fourier method needs less grid points for achieving the same accuracy. To verify the proposed numerical scheme, several examples having analytic solutions are considered, where two different semi-infinite media are in contact along a plane boundary. The comparisons of numerical results by the Fourier method and analytic solutions show good agreements. In addition, the fourier method is applied to a layered half-plane, in which an elastic semi-infinite medium is covered by an elastic layer of finite thickness. It is showed how to derive the analytic solutions by using the Cagniard-de Hoop method. The numerical solutions are in excellent agreements with analytic results.

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MEMS 부품을 위한 다결정 박막의 탄성 물성치 추출 시스템과 다결정 재료의 적용 (Elastic Property Extraction System of Polycrystalline Thin-Films for Micro-Electro-Mechanical System Device and Application to Polycrystalline Materials)

  • 정향남;최재환;정희택;이준기
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.19-22
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    • 2004
  • A numerical system to extract effective elastic properties of polycrystalline thin-films for MEMS devices is already developed. In this system, the statistical model based on lattice system is used for modeling the microstructure evolution simulation and the key kinetics parameters of given micrograph, grain distributions and deposition process can be extracted by inverse method proposed in the system. In this work, the effective elastic properties of polysilicon, $BaTiO_3\;and\;ZrTiO_4$ are extracted using this system and by employing the fraction of the potential site($f_P$) as a kinetics parameter for the microstructure evolution, the statistical tendency of these materials is studied.

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