• Title/Summary/Keyword: Lamination Theory

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Prediction of vibration response of functionally graded sandwich plates by zig-zag theory

  • Simmi, Gupta;H.D., Chalak
    • Advances in aircraft and spacecraft science
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    • v.9 no.6
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    • pp.507-523
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    • 2022
  • This study is aimed to accurately predict the vibration response of two types of functionally graded sandwich plates, one with FGM core and another with FGM face sheets. The gradation in FGM layer is quantified by exponential method. An efficient zig-zag theory is used and the zigzag impacts are established via a linear unit Heaviside step function. The present theory fulfills interlaminar transverse stress continuity at the interface and zero condition at the top and bottom surfaces of the plate for transverse shear stresses. Nine-noded C-0 FE having 8DOF/node is utilized throughout analysis. The present model is free from the obligation of any penalty function or post-processing technique and hence is computationally efficient. Numerical results have been presented on the free vibration behavior of sandwich FGM for different end conditions, lamination schemes and layer orientations. The applicability of present model is confirmed by comparing with published results. Several new results are also specified, which will serve as the benchmark for future studies.

Bending Analysis of Symmetrically Laminated Composite Open Section Beam Using the First-Order Shear Deformation Beam Theory (Timoshenko형 전단변형을 고려한 대칭적층 개단면 복합재 보의 휨해석)

  • 권효찬;박영석;신동구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.43-50
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    • 2000
  • In the first-order shear deformation laminated beam theory (FSDT), the Kirchhoff hypothesis is relaxed such that the transverse normals do not remain perpendicular to the midsurface after deformation. Bending behavior of laminated composite thin-walled beams with singly- and doubly-symmetric open sections under uniformly distributed and concentrated loads is analyzed by the Timoshenko-type thin-walled beam theory. A closed-form expression for the shear correction factor of I-shaped composite laminated section is obtained. Numerical examples are presented to compare present analytical solutions by FSDT with the finite element solutions obtained by using three dimensional model. The effects of lamination of scheme and length-to-height ratio on the shear deformation of laminated composite beams with various boundary conditions are studied.

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Geometrically non-linear transient C° finite element analysis of composite and sandwich plates with a refined theory

  • Kommineni, J.R.;Kant, T.
    • Structural Engineering and Mechanics
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    • v.1 no.1
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    • pp.87-102
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    • 1993
  • A $C^{\circ}$ continuous finite element formulation of a higher order displacement theory is presented for predicting linear and geometrically non-linear in the sense of von Karman transient responses of composite and sandwich plates. The displacement model accounts for non-linear cubic variation of tangential displacement components through the thickness of the laminate and the theory requires no shear correction coefficients. In the time domain, the explicit central difference integrator is used in conjunction with the special mass matrix diagonalization scheme which conserves the total mass of the element and included effects due to rotary inertia terms. The parametric effects of the time step, finite element mesh, lamination scheme and orthotropy on the linear and geometrically non-linear responses are investigated. Numerical results for central transverse deflection, stresses and stress resultants are presented for square/rectangular composite and sandwich plates under various boundary conditions and loadings and these are compared with the results from other sources. Some new results are also tabulated for future reference.

Study on the break-down voltage of laminated insulators (성층 절연물의 절연파괴전압에 관한 연구)

  • 이계호
    • 전기의세계
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    • v.14 no.5
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    • pp.15-19
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    • 1965
  • Laminated insulators are largely used in the insulation of electric apparatus. This reason is based on the fact that the solid state insulators meet to electrical break-down by the weak spot theory. Thus the break-down voltage of the laminated insulators are generally affected by the density, distribution and the form of the weakspot contained in the each laminated thin insulator. In this experiment the effects of the characterics of weak spots are not studied, but the effects of the number of lamination and the pressure applied on the laminated insulator on its break-down voltage are investigated experimentaly, and got some interesting results which are reparted as follows.

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Strength Prediction Model of Rapid Prototyping Parts - Fused Deposition Modeling (FDM) (쾌속조형재료의 강도예측모델 - Fused Deposition Modeling (FDM))

  • 안성훈;이선영;백창일;추원식
    • Composites Research
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    • v.15 no.6
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    • pp.38-43
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    • 2002
  • Rapid Prototyping(RP) technologies provide the ability to fabricate initial prototypes from various model materials. Stratasys' Fused Deposition Modeling(FDM) is a typical RP process that can fabricate prototypes out of plastic materials, and the parts made from FDM were often used as load-carrying elements. Because FDM deposits materials in about 300$\mu$m thin filament with designated orientation, parts made from FDM show anisotropic material properties. In this paper an analytic model was proposed to predict the tensile strength of FDM parts. Applying the Classical Lamination Theory, which was developed for laminated composite materials, a computer code was implemented. Tsai-Wu failure criterion was added to the code to predict the failure of the FDM parts. The tensile strengths predicted by the analytic model were compared with experimental data. The data and prediction agreed reasonably well to prove the validity of the model. In addition, a web-based advisory service(FDMAS) was developed to provide strength prediction and design rules for FDM parts.

Analytical Study for the Prediction of Mechanical Properties of a Fiber Metal Laminate Considering Residual Stress (잔류응력을 고려한 섬유 금속 적층판의 기계적 물성치 예측에 관한 이론적 연구)

  • Kang, D.S.;Lee, B.E.;Park, E.T.;Kim, J.;Kang, B.S.;Song, W.J.
    • Transactions of Materials Processing
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    • v.23 no.5
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    • pp.289-296
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    • 2014
  • Uniaxial tensile tests were conducted to accurately evaluate the in-plane mechanical properties of fiber metal laminates (FMLs). The FMLs in the current study are comprised of a layer of self-reinforced polypropylene (SRPP) sandwiched between two layers of aluminum alloy 5052-H34. The nonlinear tensile behavior of the FMLs under in-plane loading conditions was investigated using both numerical simulations and a theoretical analysis. The numerical simulation was based on finite element modeling using the ABAQUS/Explicit code and the theoretical constitutive model was based on the volume fraction approach using the rule of mixture and a modification of the classical lamination theory, which incorporates the elastic-plastic behavior of the aluminum alloy and the SRPP. The simulations and the model are used to predict the inplane mechanical properties such as stress-strain response and deformation behavior of the FMLs. In addition, a post-stretching process is used to reduce the thermal residual stresses before uniaxial tensile testing of the FMLs. Through comparison of both the numerical simulations and the theoretical analysis with the experimental results, it is concluded that the numerical simulation model and the theoretical approach can describe with sufficient accuracy the actual tensile stress-strain behavior of the FMLs.

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$_{n}$}$_{T}$./....

An investigation of non-linear optimization methods on composite structures under vibration and buckling loads

  • Akbulut, Mustafa;Sarac, Abdulhamit;Ertas, Ahmet H.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.209-231
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    • 2020
  • In order to evaluate the performance of three heuristic optimization algorithms, namely, simulated annealing (SA), genetic algorithm (GA) and particle swarm optimization (PSO) for optimal stacking sequence of laminated composite plates with respect to critical buckling load and non-dimensional natural frequencies, a multi-objective optimization procedure is developed using the weighted summation method. Classical lamination theory and first order shear deformation theory are employed for critical buckling load and natural frequency computations respectively. The analytical critical buckling load and finite element calculation schemes for natural frequencies are validated through the results obtained from literature. The comparative study takes into consideration solution and computational time parameters of the three algorithms in the statistical evaluation scheme. The results indicate that particle swarm optimization (PSO) considerably outperforms the remaining two methods for the special problem considered in the study.

Thermal Buckling of Thick Laminated Composite Plates under Uniform Temperature Distribution (균일분포 온도하의 두꺼운 복합 재료 적층판의 열적 좌굴 해석)

  • Lee, Young-Shin;Lee, Yeol-Wha;Yang, Myung-Seog;Park, Bock-Sun;Lee, Jong-Soo
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1686-1699
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    • 1993
  • In this paper, the thermal buckling of thick composite angle-ply laminates subject to uniform temperature distribution is studied. For the plates of 4-edges simply supported condition and those of 4-edges clamped condition, the critical buckling temperatue is derived, using tile finite element method based on the shear deformation theory. The effects of lamination angle, layer number, laminate thickness, plate aspect ratio and boundary constraints upon the critical buckling temperature are presented.

A Study on Effective Thermal Conductivity of Particulate Reinforced Composite (입자 강화 복합재의 등가 열전도 계수에 대한 연구)

  • Lee, J.K.
    • Journal of Power System Engineering
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    • v.10 no.4
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    • pp.133-138
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    • 2006
  • Effective thermal conductivity of particulate reinforced composite has been predicted by Eshelby's equivalent inclusion method modified with Mori-Tanaka's mean field theory. The predicted results are compared with the experimental results from the literature. The model composite is polymer matrix filled with ceramic particles such as silica, alumina, and aluminum nitride. The preliminary examination by Eshelby type model shows that the predicted results are in good agreements with the experimental results for the composite with perfect spherical filler. As the shape of filler deviates from the perfect sphere, the predicted error increases. By using the aspect ratio of the filler deduced from the fixed filler volume fraction of 30%, the predicted results coincide well with the experimental results for filler volume fraction of 40% or less. Beyond this fraction, the predicted error increases rapidly. It can be finally concluded from the study that Eshelby type model can be applied to predict the thermal conductivity of the particulate composite with filler volume fraction less than 40%.

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