• Title/Summary/Keyword: 적층판법칙

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Low-Velocity Impact Analysis and Contact Law on Composite Laminates (복합적층판에 대한 저속충격해석과 접촉법칙)

  • 최익현
    • Composites Research
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    • v.16 no.1
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    • pp.50-57
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    • 2003
  • Usually many researchers have used the modified Hertzian contact law or experimental static indentation law to analyze impact response of composite laminates subjected to the low-velocity impact. In this study, physical meaning of the method using the laws was investigated and the difference between the analytical results obtained using the laws was also investigated. Furthermore parametric study on contact constant and exponent in the contact law was performed. Finally it was shown that a linearized contact law can be well applied to low-velocity impact response analysis of composite laminates. If this concept is used, commercial finite element software can be used to solve impact problem without making any auxiliary code.

Characteristic of Impact Behavior of Laminated Composite Plates due to Initial Stress (복합적층판의 초기응력에 의한 충격거동 특성)

  • Kim, Seung--Deog;Kang, Joo-Won;Kwon, Suk-Jun
    • Journal of Korean Association for Spatial Structures
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    • v.11 no.3
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    • pp.77-83
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    • 2011
  • Laminated composite plates have shown their superiority over metals in applications requiring high specific strength, high specific modulus, and so on. Therefore, they have used in various industry. However, they have poor resistance to impact compared to typical metal materials. To resolve this problem by many researchers for a variety of studies have been attempted. This study investigates characteristic of impact behavior of laminated composite plates due to initial stress. Using finite element program which involved the indentation law, we investigate characteristic of impact behavior of laminated composite plates due to initial stress.

Low-Velocity Impact Response of Hybrid Laminated Composite Plate (혼합적층된 복합재료평판의 저속충격응답)

  • Lee, Young-Shin;Kang, Kun-Hee;Park, Oung
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.713-722
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    • 1991
  • 본 연구에서는 graphite/epoxy와 glass/epoxy 그리고 graphite/epoxy와 kevl- ar/epoxy의 혼합적층된 복합재료 평판의 저속충격에 대한 응답을 유한요소 모델을 사 용하여 수치해석 한후, 각각의 단일적층판들의 결과와 비교하였으며, 이때의 접촉력 관계식은 Yang과 Sun이 제안한 수정된 접촉법칙을 이용하였다. 또한, 수치해석 결과 에서의 충격자의 속도변화로써 혼합적창판 배열에 따른 에너지 흡수율을 계산하였고, 이를 충격특성이 취약한 graphite/epoxy 단일 적층판의 결과와 비교 고찰하였다.

Impact Analysis of Laminated Composite Plate Using Higher-Order Shear Deformation Theory (고차 전단 변형 이론에 의한 적층 복합판의 충격 해석)

  • 김문생;김남식;이현철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.735-750
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    • 1991
  • 본 연구에서는 적층 복합판의 충격 해석을 위하여 Reddy의 고차 전단 변형 이 론에 기초를 두고, 정적 압입 실험에 의한 접촉 법칙을 고려한 동적 유한 요소 해석 (dynamic finite element analysis)을 행하여 충격 실험에 의한 결과와 1차 전단변형 이론에 의한 해와 비교 검토하므로서, 그 유용성과 우수성을 입증하고, 적층 복합재의 충격 응력 및 응력파 전파 특성에 대하여 연구하고자 한다.

Investigation of Impact Behavior by Thickness variation of Laminated Composite Subjected to Low-Velocity Impact (저속충격을 받는 복합적층판의 두께 변화에 따른 충격거동 조사)

  • Kwon, Suk-Jun;Jeon, Jin-Hyung;Kim, Seung-Deog
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.74-79
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    • 2008
  • In this study, impact transient responses of (Graphite/Epoxy) laminated composite subjected to low-velocity impact are investigated using a finite element method. Dynamic von-Karman plate equations considering large deflection of plate are modified to include the effect of transverse shear deformations as in Mindlin plate theory and also the rotary inertia effect is considered. The convergence of transient responses is used contact law established through the statical indentation test. We investigate displacements, contact forces and strains by thickness variation of various laminated composite. We compare and analyze each results.

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Laminating Rule for Predicting the Dielectric Properties of the E-glass/Epoxy Laminate Composite (유리섬유/에폭시 복합재료 적층판의 유전성질 예측을 위한 적층판 법칙)

  • Chin, Woo-Seok;Lee, Dai-Gil
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2005.04a
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    • pp.141-145
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    • 2005
  • Since the electromagnetic properties of fiber reinforced polymeric laminate composite can be tailored effectively by adjusting its composition and regulating the stacking sequence, it is plausible material for fabricating the radar absorbing structures (RAS) of desired performance. In order to design the effective electromagnetic wave (EM) absorber with the fiber reinforced polymeric laminate composite, its electromagnetic characteristics should be available and could be regulated easily in the target frequency bands. In this study, dielectric characteristics of the E-glass/epoxy laminate composites were measured by the free space method in the X-band frequency range ($8.2\;{\sim}\;12.4\;GHz$). In order to describe the dielectric behavior of laminate composites of arbitrary stacking sequences, the equivalent circuit model and the laminating equations for estimating dielectric properties were proposed, and experimentally verified. From the comparison of the predicted and measured data, the proposed method predicted well the experimentally measured data.

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Angle-Ply 복합적층판의 층간 균열 해석

  • 김광수;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.3
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    • pp.319-326
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    • 1985
  • 본 연구에서는 준 3차원 유한요소법(quasi 3-D finite element method)을 사 용하여 균일한 변위하중뿐 아니라 적층판의 제작 공정상 필연적인 열하중(thermal loading)의 영향을 동시에 고려하여 층간균열의 발생 및 성장에 대한 특성을 밝히고자 한다. 끝으로 층간 균열이 인장강도에 미치는 영향을 혼합법칙(rule of mixtures)의 개념을 사용하여 평가하고자 한다.

A Study on the Stress Wave Propagation of Composite Laminate Subjected to Low-Velocity Impact (저속 충격을 받는 적층 복합재의 응력파 전파에 관한 연구)

  • 안국찬;김문생;김규남
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.1
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    • pp.9-19
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    • 1989
  • The impact stress and wave propagation of graphite/epoxy and glass/epoxy laminates subjected to the transverse low-velocity impact of steel balls are investigated theoretically. A plate finite element model based on Whitney and Pagano's theory for the analysis of heterogeneous and anisotropic plates taking into account of the transverse shear deformation is used for the theoretical investigation. This model is in conjuction with static contact laws. The basic element is a four-node quadrilateral with the five degrees-of-freedom per node. The reduced integration technique is used for shear locking associated with low-order function in application to thin plates. These two materials are composed of [0.deg./45.deg./0.deg./-45.deg./0.deg.]$_{2S}$ and [90.deg./45.deg./90.deg./-45.deg./90.deg.]$_{2S}$ stacking sequences and have clamped-clamped boundary conditions. Finally, the present results are compared with an existing solution and wave propagation theory and then impact stress and wave propagation phenomena are investigated.gated.

Permittivities of the E-Glass Fabric/Epoxy Composite Laminates Containing Carbon Black Dispersion (카본 블렉을 함유한 복합재 적층판의 유전율)

  • 김진봉;김태욱
    • Composites Research
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    • v.16 no.2
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    • pp.48-53
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    • 2003
  • This paper presents a study on the permittivities of the I-glass fabric/epoxy composite laminates containing carbon black dispersions at microwave frequency. Measurements were performed at the frequency band of 5 GHz∼18 GHz. The results showed that the complex permittivities of the composites depend strongly on the natures and concentrations of the carbon black dispersion. A new scheme is proposed to obtain a mixing law for the estimation of the complex permittivities of the composite laminates as a function of concentration of carbon black. Simultaneously, the complex permittivity of carbon black itself was also calculated by the scheme. The experimental values of the complex permittivities of the composites were compared to those calculated.

Three Dimensional Interlaminar Stress Analysis of a Composite Patch Using Stress Functions (응력함수를 이용한 복합재 적층 패치의 3차원 층간 응력 해석)

  • Lee, Jae-Hun;Cho, Maeng-Hyo;Kim, Heung-Soo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.488-491
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    • 2009
  • 본 논문에서는 응력함수와 Kantorovich method를 이용하여 기저판(substrate)에 인장과 굽힘이 작용할 때 복합재 패치의 3차원 응력을 해석하였다. 면내 방향과 면외 방향의 두 응력함수에 가상 공액일의 법칙(Complementary virtual work principle)을 적용하였으며 복합재 패치의 자유 경계조건과 바닥의 기저판으로부터 전달되는 전단 수직 응력 조건을 부여하였다. 이를 통해서 패치 구조물의 지배방정식을 연립 미분 방정식 형태의 고유치 문제로 변환하여 응력함수를 구하였다. 위 방법의 타당성과 효용성을 검증하기 위한 수치 예제로 cross-ply, angle-ply, quasi-isotropic의 패치 적층 배열을 고려하였으며, 층간 응력함수 값이 자유 경계에서 최고치를 나타내고 패치 중심부로 갈수록 급격히 감소하는 모습을 확인하였다. 제안된 기법은 기저판에 인장하중이 작용하는 경우뿐만 아니라 굽힘 하중이 작용하는 경우에도 정확한 예측이 가능하여, 패치 구조물의 층간 응력을 포함한 3차원 응력을 해석하는데 있어서 효율적인 해석 도구로서 사용할 수 있을 것이라 사료된다.

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