• Title/Summary/Keyword: Unsymmetric Laminates

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Slippage Effects on the Curvature Shape of Unsymmetric Laminates (비대칭 적층판의 곡률형상에 대한 미끄러짐 효과)

  • Roh, Hee-Yuel;Cho, Maeng-Hyo
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.420-425
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    • 2000
  • The room-temperature shapes of cured unsymmetric composite laminates have out-of-plane warping after autoclave processing. In addition, they exhibit two stable room-temperature configurations due to snap-through phenomena when the side length of laminates exceeds a critical value. The cured shapes of unsymmetric laminates are influenced by many environmental factors. Experiments show that the effect of too-plate cannot be ignored and has significant influence on the cured shape of unsymmetric laminates. In this present study, approximations to the strain fields are used in the expression for the total potential energy and the Rayleigh-Ritz method is applied. The slippage effects resulting from the interaction between the laminates and the tool-plate are considered. By introducing a dimensionless slippage coefficient and correlating the corresponding value with experimental results, the influence of processing parameters is investigated. Modeling is extended to predict curvatures of plate configurations with various aspect ratio.

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A Study on thermal deformation behavior of laminates composed of different material layers. (다종 재료층으로 구성된 적층판의 열변형 거동 연구)

  • 정재한;구남서;박훈철;윤광준
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.11a
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    • pp.54-57
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    • 2000
  • Thermal deformation behavior has been investigated for unsymmetric laminates composed of various kinds of material layers, such as stainless steel, aluminum, carbon/epoxy or glass/epoxy. The thermal deformations of unsymmetric laminates were predicted using the classical lamination theory and compared with those obtained from experimental measurement. In the case of unsymmetric laminate composed of stainless steel and aluminum layer, the experimental results were agreed well with the values predicted. But in the case of unsymmetric laminate composed of fiber composite layers, there was a considerable difference of thermal deformation between the prediction and experimental measurement, which may be from the change of material properties of fiber composite layers for temperature variation.

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Discrete Optimization of Unsymmetric Composite Laminates Using Linear Aproximation Method (선형 근사화방법을 이용한 비대칭 복합 적층평판의 이산최적화)

  • 이상근;구봉근;한상훈
    • Computational Structural Engineering
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    • v.10 no.2
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    • pp.255-263
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    • 1997
  • The optimum design of most structural systems used in practice requires considering design variables as discrete quantities. The present paper shows that the linear approximation method is very effective as a tool for the discrete optimum designs of unsymmetric composite laminates. The formulated design problem is subjected to a multiple in-plane loading condition due to shear and axial forces, bending and twisting moments, which is controlled by maximum strain criterion for each of the plys of a composite laminate. As an initial approach, the process of continuous variable optimization by FDM is required only once in operating discrete optimization. The nonlinear discrete optimization problem that has the discrete and continuous variables is transformed into the mixed integer programming problem by SLDP. In numerical examples, the discrete optimum solutions for the unsymmetric composite laminates consisted of six plys according to rotated stacking sequence were found, and then compared the results with the nonlinear branch and bound method to verify the efficiency of present method.

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Warping Analysis of Unsymmetric Laminated Composites (비대칭 복합적층판 의 Warping 해석)

  • 전완주;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.4
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    • pp.404-409
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    • 1983
  • The warping of unsymmetric laminated composites is induced by residual curing stress at the room temperature. Classical lamination theory (C.L.T.) predicts the room temperature shapes of all unsymmetric laminates to be a saddle. Experimental observations, however, indicate some unsymmetric laminated composites have cylindrical room temperature shapes. This anomalous behavior is explained by the extention of C.L.T. which involves Von Karman's large deflection theory. It is shown that, depending on the thickness, width, length, curing temperature and room temperature of the laminate, critical boundaries of the shape change are determined. Theoretical predictions are compared with experimental results of Toray Graphite/Epoxy {O$_{n}$/90$_{n}$}$_{T}$./....

Critical Buckling Loads of Laminated Composites under Cylindrical Bending (원통형 굽힘을 받는 적층판의 임계좌굴 하중)

  • Lee, Soo-Yong
    • Journal of Aerospace System Engineering
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    • v.1 no.4
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    • pp.28-36
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    • 2007
  • This paper presents critical buckling loads of laminated composites under cylindrical bending. In-plane displacements are assumed to vary exponentially through plate thickness. The accuracy of this theory is examined for symmetric/antisymmetric cross-ply, angle-ply and unsymmetric laminates under cylindrical bending. Analytical solutions are provided to investigate the effect of transverse shear deformation on critical buckling loads of the laminated plates, and the results are compared with those obtained from the first-order shear deformation plate theory and the classical laminated plate theory.

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Transverse Shear Deformation in the Cylindrical Bending of Laminated Plates (적층판의 원통형 굽힘에 대한 횡방향 전단병형)

  • 이수용;박정선
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.11
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    • pp.2696-2704
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    • 2000
  • This paper presents a new laminated plate theory for the cylindrical bending of laminated plated. The theory assumes that in plane displacements vary exponentially through plate thickness. Analytical solutions are derived for simply supported plates subjected to transverse loading. The accuracy of the present theory is examined for unsymmetric laminates, and the numerical results are compared with three-dimensional elasticity solutions of Pagano. The present theory predicts displacements and stresses for very thick plates very accurately. In particular, transverse shear stresses obtained form constitutive equations are predicted very accurately.

Thermal Residual Stresses and Spring back Effects on the Frequency Selective Surface Embedded Composite Laminates (주파수 선택막이 삽입된 복합재 평판의 잔류 열응력과 스프링 백 효과)

  • Park, Kyoung-Mi;Seo, Yun-Seok;Chun, Heoung-Jae;Hong, Ic-Pyo;Park, Yong-Bae;Kim, Yun-Jae
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.6
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    • pp.475-481
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    • 2013
  • The residual stresses occur in the Frequency Selective Surface(FSS) embedded hybrid composite structures after co-curing due to mismatch among the coefficient of thermal expansions and stiffness values between the FSS and composite materials. The spring backs occur due to these residual stresses. Therefore, in this paper, the spring-backs caused by residual stresses in FSS embedded composite structures were studied with considering effect of symmetric and unsymmetric stacking sequence of composite laminates.

Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

  • Sherafat, Mohammad H.;Ghannadpour, Seyyed Amir M.;Ovesy, Hamid R.
    • Structural Engineering and Mechanics
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    • v.45 no.5
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    • pp.677-691
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    • 2013
  • A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

Electromagnetic Interference Shielding of Carbon Fibers-Reinforced Composites (탄소섬유강화 복합재료의 전자파 차폐특성)

  • 심환보;서민강;박수진
    • Polymer(Korea)
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    • v.24 no.6
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    • pp.860-868
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    • 2000
  • In this work, the electro-magnetic interference (EMI) characteristics of PAN-based carbon fibers-reinforced composites are investigated with difference to manufactural parameters, i.e., fiber grade, fiber orientation angle, and laminating method. As a result, EMI shielding effectiveness (SE) of the composites greatly depends on a fiber orientation in composite angle. Especially, the fiber grade affects SE of composites in case of orientation angle of 0$^{\circ}$. Then the SE become greater as the change of electric character according to the arrangement directions, i.e., electrical anisotropy in the same constituent materials. This is due to the skin effect which is represented in the surface of electro-magnetic wave in high-frequency range. In all cases according to lamination methods, the composites represents SE of 83~98% over. Whereas, in symmetric and unsymmetric laminate structures, the SE decreases slightly as the laminate angles of composites increases. On the contrary. the repeating laminates structure shows the opposite tendency. Especially, 90$^{\circ}$ repeating laminate structure shows the SE more than 90% over the measuring frequency.

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