• 제목/요약/키워드: laminate theory

검색결과 184건 처리시간 0.023초

Analysis of composite plates using various plate theories -Part 1: Formulation and analytical solutions

  • Bose, P.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • 제6권6호
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    • pp.583-612
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    • 1998
  • A unified third-order laminate plate theory that contains classical, first-order and third-order theories as special cases is presented. Analytical solutions using the Navier and L$\acute{e}$vy solution procedures are presented. The Navier solutions are limited to simply supported rectangular plates while the L$\acute{e}$vy solutions are restricted to rectangular plates with two parallel edges simply supported and other two edges having arbitrary combination of simply supported, clamped, and free boundary conditions. Numerical results of bending and vibration for a number of problems are discussed in the second part of the paper.

국부적 적층분리결함을 갖는 섬유금속적층판의 기계적 거동 특성 (Mechanical Behavior of Fiber Metal Laminates with Local Delamination Defects)

  • 최흥섭;최형집;최원종;하민수
    • 항공우주시스템공학회지
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    • 제1권1호
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    • pp.25-35
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    • 2007
  • In this paper, the interlaminar crack problems of a fiber metal laminate (FML) under generalized plane deformation are studied using the theory of anisotropic elasticity. The crack is considered to be embedded in the matrix interlaminar region (including adhesive zone and resin rich zone) of the FML. Based on Fourier integral transformation and the stress matrix formulation, the current mixed boundary value problem is reduced to solving a system of Cauchy-type singular integral equations of the 1st kind. Within the theory of linear fracture mechanics, the stress intensity factors are defined on terms of the solutions of integral equations and numerical results are obtained for in-plane normal (mode I) crack surface loading. The effects of location and length of crack in the 3/2 and 2/1 ARALL, GLARE or CARE type FML's on the stress intensity factors are illustrated.

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층간 분리가 있는 지능 복합재 적층판의 동적특성에 대한 연구 (Study on Dynamic Characteristics of Delaminated Smart Composite Laminates)

  • 김흥수;김재환;최승복
    • 한국소음진동공학회논문집
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    • 제15권4호
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    • pp.395-403
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    • 2005
  • The dynamic characteristics of delaminated smart composite laminates are studied using animproved layerwise laminate theory. The theory is capable of capturing interlaminar shear stresses that are critical to delamination. The presence of discrete delamination is modeled through the use of Heaviside unit step functions. Stress free boundary conditions are enforced at all free surfaces. Continuity in displacement field and transverse shear stresses are enforced at each ply level. In modeling piezoelectric composite plates, a coupled piezoelectric-mechanical formulation is used in the development of the constitutive equations. Numerical analysis is conducted to investigate the effect of nonlinearity in the transient vibration of bimodular behavior caused by the contact impact of delaminated interfaces. Composite plates with delamination, subject to external loads and voltage history from surface bonded sensors, are investigated and the results are compared with corresponding experimental results and plates without delamination.

Carbon/Epoxy 복합재료 적층판의 반복하중에 따른 강도계수의 변화에 대한 연구 (The Influence of Repeated Loading Cycles on Strength Ratio of Carbon/Epoxy Composite Laminates)

  • 김두환;김영필
    • 한국안전학회지
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    • 제24권3호
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    • pp.19-24
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    • 2009
  • Currently the technique of composite material field is developed day by day. The many kinds industrial facility and life articles are coming to make with the composite material. But still the engineering works field the building and the bridge uses the material which is old era and is making. To here there is a various problem but the biggest problem the theory of the composite material is complicated too and means that the application is been delayed about constructive structure. When the composite material is used widely from constructive field, too with difficult theory in technical expert and easily with the research for the experiment data accumulation is necessary. The tensile and fatigue test of the carbon/epoxy which is a high-class composite material led from the present paper consequently and the change of the intensity coefficient which follows in repeated load researched.

Transverse stress determination of composite plates

  • Phoenix, S.S.;Sharma, M.;Satsangi, S.K.
    • Structural Engineering and Mechanics
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    • 제27권4호
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    • pp.457-475
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    • 2007
  • Analysis of transverse stresses at layer interfaces in a composite laminate has always been a challenging task. Composite structures possess highly irregular material properties at layer interfaces, which cause high shear stresses. Classical Plate Theory and First Order Shear Deformation Theory (FSDT) use post computing to calculate transverse stresses. This paper presents Reissner Mixed Variational Theorem (RMVT) based finite element model to carry out layer-wise analysis of composite laminates. Selective integration scheme has been used. The formulation has been validated by solving numerical examples and comparing the results with those published in the literature.

고전 적층이론에 의한 섬유금속적층판의 기계적 거동 연구 (Study on the Mechanical Behavior of Fiber Metal Laminates Using Classical Lamination Theory)

  • 노희석;최흥섭;강길호;하민수
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.37-41
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    • 2003
  • In this study the mechanical behaviors of fiber metal laminates (FML) such as ARALL, GLARE and CARE which are recently developed as new structural materials and known to have excellent fatigue resistant characteristics while with relatively low densities compared to the conventional aluminum materials, are considered through the classical lamination theory. The mechanical properties such as elastic moduli, thermal expansion coefficients and hygro-thermally induced residual stresses in the fiber metal laminates are obtained and compared each other. Also load carrying mechanism between metal sheets and composite layers in the FML are considered.

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

  • 이영신;이열화;양명석;박복선;이종수
    • 대한기계학회논문집
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    • 제17권7호
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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.

Free vibration of laminated composite skew plates with central cutouts

  • Lee, Sang-Youl;Park, Taehyo
    • Structural Engineering and Mechanics
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    • 제31권5호
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    • pp.587-603
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    • 2009
  • We performed a free vibration analysis of skew composite laminates with or without cutout based on the high-order shear deformation plate theory (HSDT). The effects of skew angles and ply orientations on the natural frequencies for various boundary conditions are studied using a nonlinear high-order finite element program developed for this study. The numerical results are in good agreement with those reported by other investigators for simple test cases, and the new results reported in this paper show the interactions between the skew angle, layup sequence and cutout size on the free vibration of the laminate. The findings highlight the importance of skew angles when analyzing laminated composite skew plates with cutout or without cutout.

일반적인 곡선좌표계에 기초한 복합재료 적층쉘의 유한요소 해석 (Finite Element of Composite Shells Based on General Curvilinear Coordinates)

  • 노희열;조맹효
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.173-176
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    • 2000
  • Finite element model based on the Naghdi's shell theory in the general tensor-based form is formulated in the present study. Partial mixed variational functional for assumed strain is formulated in order to avoid the severe locking troubles known as transverse shear and membrane locking. The proposed assumed strain element in general tensor Naghdi's shell model provides very accurate solutions for thin shells in benchmark problems. In additions, linear elastic constitutive equations are given in the general curvilinear coordinate system including anisotropic layered structures. Thus laminated composited shell structures are easily analyzed in the present formulation.

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층간 분리가 있는 지능형 복합재 적층판의 과도응답해석 (Transient Analysis of Delaminated Smart Composite Laminates)

  • 김흥수;김재환;최승복
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.469-475
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    • 2004
  • The transient analysis of delaminated smart composite laminates is studied using an improved layerwise laminate theory. The theory is capable of capturing interlaminar shear stresses that are critical to delamination. The presence of discrete delamination is modeled through the use of Heaviside unit step functions. Stress free boundary conditions are enforced at all fee surfaces. Continuity in displacement field and transverse shear stresses are enforced at each ply level. In modeling piezoelectric composite plates, a coupled piezoelectric-mechanical formulation is used in the development of the constitutive equations. Numerical analysis is conducted to investigate the effect of nonlinearity in the transient vibration of bimodular behavior caused by the contact impact of delaminated interfaces. Composite plates with delamination, subject to external loads and voltage history from surface bonded sensors, are investigated and the results are compared with corresponding experimental results and plates without delamination.

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