• Title/Summary/Keyword: 직교 이방성 재료

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The Influence of the Aspect Ratio on the Natural Frequency of the Specially Orthotropic Laminated Plates (특별직교이방성 적층판의 고유진동수에 대한 형상비의 영향)

  • Han, Bong Koo;Kim, Duck Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.6
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    • pp.219-225
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    • 2011
  • Advanced composite structures are too difficult for such design engineers for construction and some simple but accurate enough methods are necessary. The simply supported laminated plates are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. The plate aspect ratio considered is from 1 : 1 to 1 : 5. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms($M_x$) on the relevant partial differential equations of equilibrium. In this paper. the influence of the aspect ratio on the natural frequency of the specially orthotropic laminated plates is studied and it is concluded that the method used is sufficiently accurate for engineering purposes. The result of this paper can be used for simply supported laminated plates analysis.

Constitutive Equations of 3D Circular Braided Glass Fiber Reinforced Composites (3차원 원형 브레이드 유리섬유 강화 복합재료의 구성방정식)

  • 신헌정;정관수;강태진;윤재륜
    • Proceedings of the Korean Fiber Society Conference
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    • 2003.04a
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    • pp.107-110
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    • 2003
  • 본 연구에서는 3차원 브레이딩 기계를 이용하여 제작된 6 layer의 3차원 원형 형태로 브레이드된 유리 섬유 강화 복합재료의 프리프레그를 이용하여 에폭시 수지를 모체로 하는 RTM(Resin Transfer Molding) 공정을 통해 직교 이방성 복합재료를 제작하였다. 또한 탄성한계 내에서의 구성방정식을 얻기 위해 unit cell 모델링을 통해 복합재료의 기하를 모사하고 method of cells 이론과 homogenization technique를 이용하여 복합재료의 구성방정식을 나타내는 수치해석 코드를 개발하였다. (중략)

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Elastic-plastic Micromechanics Modeling of Cross-anisotropic Granular Soils: I. Formulation (직교 이방적 사질토의 미시역학적 탄소성 모델링: I. 정식화)

  • Jung, Young-Hoon;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.77-88
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    • 2007
  • A micromechanics-based model to simulate the elastic and elastic-plastic behavior of granular soils is developed. The model accounts for the fabric anisotropy represented by the statistical parameter of the spatial distribution of contact normals, the evolution of fabric anisotropy as a function of stress ratio, the continuous change of the co-ordination number relating to the void ratio, and the elastic and elastic-plastic microscopic contact stiffness. Using the experimental data for metallic materials, the elastic-plastic contact stiffness is derived as a power function of the normal contact force as well as the contact force initiating the yielding of contact bodies. To quantitatively assess microscopic model parameters, approximate solutions of cross-anisotropic elastic moduli are derived in terms of the micromechanical parameters.

Effect of element size in hybrid stress analysis around a hole in loaded orthotropic composites (직교이방성 재료의 구멍주위에 관한 하이브리드 응력해석시 요소크기의 효과)

  • Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1702-1711
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    • 1997
  • A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.

Elastic Behavior Characteristics of GFRP Pipes Reinforced Ribs (리브로 보강된 GFRP 관로의 탄성 좌굴거동 특성)

  • Han, Taek Hee;Seo, Joo Hyung;Youm, Eung Jun;Kang, Young Jong
    • Journal of Korean Society of Steel Construction
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    • v.18 no.6
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    • pp.737-746
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    • 2006
  • The elastic buckling strength of a Glass Fiber Reinforced Plastic (GFRP) pipe reinforced with ribs was evaluated. The height and thickness of a rib and the spacing between two adjacent ribs were considered as factors affecting the buckling strength of the pipe. And also, the ratio of the longitudinal stiffness and transverse stiffness was considered as the parameter affecting the buckling strength as the GFRP is orthotropic material. Buckling strengths of various GFRP pipe models with different shapes and stiffness ratios were evaluated by FE analyses and a formula to estimate the elastic buckling strength of a rib-reinforced pipe made of orthotropic material was suggested from the regression with the results from the FE analysis. Analytical results show that a rib-reinforced pipe has a buckling strength superior to a general flat pipe and the suggested formula estimates accurate buckling strength of the rib-reinforced pipe.

A Study on the Extrusion of Anisotropic Materials with the Method of Moire Frinfe Analysis (모아레법에 의한 이방성재료의 압출에 관한 연구)

  • Huh, Hoon;Kim, Dong-Won
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.1 no.3
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    • pp.164-170
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    • 1977
  • Johnson 의 직교이방성재료압출시의 slip line 해를 모아레법으로 검토하였다. 모아레식편상에 slipline 장과 유사한 모아레무늬를 얻어 이론해와 비교하였으며, 모아레무늬 해석법으로 변형후의 상당스트레인 속도분포를 구하였다.

A Study of Stress Analysis of Multi-Grain Orthotropic Material by BEM (경계 요소법에 의한 직교 이방성 다결정 재료의 응력해석에 관한 연구)

  • Kim, Dong-Eun;Lee, Sang-Hun;Jeong, Il-Jung;Lee, Seok-Soon
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.4
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    • pp.127-133
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    • 2008
  • As the application of the MEMS parts increases, the structural safety of MEMS appears importantly. A lot of MEMS parts are made by a multi-grain silicon wafer, which is an orthotropic material. Moreover directions of the materials on each grain are distributed randomly. The stress analysis for the multi-grain is important factor in order to apply the MEMS parts to industrial applications. The finite element method (FEM) is commonly used by a stress analysis method but the boundary element method (BEM) is known as the result of the BEM is more accurate than that of the FEM since the fundamental solution are used. In this study, we derived the boundary integration equation for the orthotropic material by applying fundamental solutions with complex variables. The multi-region analysis procedure for the BEM and the multi-grain generation procedure by a random process technique are developed in order to apply the analysis of the multi-grain orthotropic material. The discontinuous element is used in order to remove the comer problem in the BEM. The results of the present method are compared with those of the finite element method in order to verify the present procedure.

Free vibration analysis of orthotropic and laminated composite circular cylindrical shells (직교이방성 복합재료 원통셀의 자유진동 해석)

  • 이영신;문홍기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.758-769
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    • 1986
  • A general analytical procedure is developed for evaluating the free vibration characteristics of orthotropic and laminated composite circular cylindrical shells. The solution is obtained through a direct solution procedure with axial mode displacements presented as simple Fourier series expressions. On the basis of the various thin shell theories most commonly used, the frequency equation is derived and is expressed in a unified form. The present analysis can deal with shells which are made of an arbitrary number of bonded layers each with a different thickness and different elastic orthotropic properties, and have classical boundary conditions of any kind. Several examples are shown with the consideration of the effects of fiber orientations and boundary conditions as well as different shell geometries and material properties. To verify the validity and accuracy of this analysis, the results are compared with the experimental and analytical results of other workers. Agreement among the various results is found to be fairly good.