• Title/Summary/Keyword: elastic materials

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

  • Kim, Young-H.;Lee, Seung-S.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.17 no.4
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    • pp.227-236
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    • 1997
  • Quantitative analysis and imaging of elastic wave propagation are very important for the materials evaluation as well as flaw detection. The elastic wave propagation in an anisotropic media is more complex, and analysis and imaging become essential for flaw detection and materials evaluation. In the anisotropic media, the wave velocity is dependent on the propagation direction. In addition, the direction of group velocity is different from that of phase velocity, the direction of energy flow is not same as the propagation direction of wavefront (beam skewing effect). Especially, this effect becomes critical for the large anisotropic media such as fiber composite materials, and the results using elastic waves for those materials have to be analyzed considering the wave propagation mechanism. Since the analytical approach for the wave propagation in the anisotropic materials is limited, the numerical analysis such as finite difference method (FDM) have been used for these case. Therefore, 2-dimensional FDM program for the elastic wave propagation is developed, and wave propagation in anisotropic media are simulated.

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

  • Lee, Dong-Sik;Kim, Hyeong-Sam;Lee, Jae-Hyeok;Park, Se-Man
    • Korean Journal of Materials Research
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    • v.9 no.8
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    • pp.763-767
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    • 1999
  • Composite materials have been increasingly used in automotive and aircraft industries, naturally leading to active researches on the materials. Carbon-epoxy composites, one of major composite materials, are investigated to determine their thermal characteristics. Under conditions of thermal fatigues composed of repeated heatings and coolings, variations of elastic constants are studied for the carbon-epoxy composites to reveal the thermal nature of the composites. In general, composite materials are known to have decreasing elastic constants with increasing temperatures. However, in contrary to this commonly observed behavior, the results obtained in this investigation for the elastic constants of the carbon-epoxy composites show unexpected phenomena in that the elastic constants initially increase with increasing temperatures to certain point and decrease later with further increase in temperatures when the carbon-epoxy composites are subjected to thermal fatigues.

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

  • 유재석;김광수;이상의;김천곤
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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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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    • v.22 no.6
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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.

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

  • Cha, Min-Su;Cho, Gye-Chun;Baak, Seung-Hyoung
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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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

  • Sin, Jung-Ho;Kinzel, Gary L.
    • 한국기계연구소 소보
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    • s.17
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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
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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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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    • v.17 no.3E
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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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Elastic Property Extraction System of Polycrystalline Thin-Films for Micro-Electro-Mechanical System Device and Application to Polycrystalline Materials (MEMS 부품을 위한 다결정 박막의 탄성 물성치 추출 시스템과 다결정 재료의 적용)

  • Jung H. N.;Choi J. H.;Chung H. T.;Lee J. K.
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.10a
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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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