• Title/Summary/Keyword: 적층 수

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Three Dimensional Stress Analysis of Composite Laminates using Stress Functions and Interface Modeling (응력함수와 층간면 모델링을 이용한 복합재 적층판의 3차원 응력해석)

  • Kim, H.S.;Kim, J.Y.;Kim, J.G.
    • Journal of Power System Engineering
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    • v.13 no.4
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    • pp.49-55
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    • 2009
  • 복합재 적층판의 자유단 근처에서 나타나는 층간 응력의 집중 현상을 층간면 효과를 고려해 해석하였다. 복합재 적층판 내부의 임의의 위치에서 3차원 평형방정식을 만족시키기 위해 렉니츠키 응력함수를 도입하였으며, 가상일의 원리를 이용하여 지배방정식을 유도하였다. 주어진 응력함수를 이용하여 구한 3차원 응력들은 복합재 적층판의 아래 위 면뿐만 아니라 자유단에서 하중자유조건을 잘 만족한다. 기하학적 불연속성 때문에 복합재 적층판의 자유단에서는 응력의 특이가 발생하지만, 층간면 효과를 고려하게 되면 층간응력의 집중현상을 정확하게 해석할 수 있다. 자유단에서 발생한 층간응력의 크기를 보면, 층간면 효과를 고려할 경우, 응력특이 효과가 많이 줄어드는 것을 관찰할 수 있다. 본 연구에서 주어진 층간면에서의 정확한 응력 해석은 복합재 적층판의 강도설계를 수행하는 초기 설계 툴로 사용할 수 있다.

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Flexural Behavior of Glass Fiber Reinforced Plastic Pipes (유리섬유 강화 플라스틱관의 휨거동에 관한 연구)

  • 장동일;고재원
    • Magazine of the Korea Concrete Institute
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    • v.5 no.3
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    • pp.187-194
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    • 1993
  • 본 논문에서는 유리섬유의 적층수, 유리섬유의 배향각도에 대한 유리섬유 강화 플라스틱(Glass Fiber Reinforced Plastics ; GFRP)의 인장거동 변화를 고찰하고, 이들의 상관관계를 규명하기 위하여 일련의 GFRP 시험체에 대하여 인장실험을 수행하였다. 시험체는 폭12.5mm, 길이 60mm크기로 일정하게 제작하였으며, 시험체에 대하여 인장실험을 수행하였다. 시험체 제작시 유리섬유로 적층수는 14, 22, 30층, 유리섬유의 배향각도는 0$^{\circ}$, 30$^{\circ}$, 45$^{\circ}$로 하였다. 인장실험시 각 시험체의 파괴양상, 극한하중 및 하중변화에 대한 인장변형율을 조사하였고, 이들 결과를 토대로 유리섬유의 적층수와 배향각도에 따른 GFRP의 극한하중, 응력-변형율 선도 및 탄성계수 등을 비교 분석하였다. 한편 본 논문에서는 유리섬유의 적층수, 직경 변화에 따른 GFRP관의 파괴거동을 고찰하기 위하여 4점 재하법에 의한 GFRP관의 휨파괴실험을 수행하였다. 실험에 사용된 시험체는 길이 1200mm로 하였으며, 유리섬유의 적층수를 30, 35, 40층, 관의 직경을 50, 100, 150mm로 하였다. 파괴실험시 각 시험체의 하중변화에 대한 휨 변형율, 중앙점 처짐량 및 항복하중을 측정하였고, 이들 결과를 토대로 유리섬유으 적층수와 관의 직경에 따라 GFRP관의 항복하중 및 파괴에너지를 비교 분석 하였으며, 항복시 파괴에너지를 추정할 수 있는 제안식을 유도하였다.

Vibration Analysis of Angle-Ply Laminated Shells (ANGLE-PLY 적층쉘의 진동특성에 관한 연구)

  • Park, Sung Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.6A
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    • pp.409-415
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    • 2011
  • Optimization Analysis of angle-ply laminated shells, having one pair of opposite edges supported, are investigated on the basis of the first-order shear deformation theory. The equations of motion of the shell are solved by the use of ritz method. A range of results are presented for composite shells to show the effects of lamination angle and number of layers on natural frequency. In addition, an analysis of the strain energy distributions is used as an aid for the better understanding of the vibration characteristics of the shells.

Vibration Characterization of Cross-ply Laminates Beam with Fatigue Damage (피로 손상을 입은 직교 복합재료 적충보의 진동 특성)

  • 문태철;김형윤;황운봉;전시문;김동원;김현진
    • Composites Research
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    • v.14 no.3
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    • pp.1-9
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    • 2001
  • A new non-destructive fatigue prediction model of the composite laminates is developed. The natural frequencies of fatigue-damaged laminates under extensional loading are related to the fatigue life of the laminates by establishing the equivalent flexural stiffness reduction as a function of the elastic properties of sublaminates. The flexural stiffness is derived by relating the 90-ply elastic modulus reduction, and using the laminate plate theory to the degraded elastic modulus and the intact elastic modulus of other laminates. The natural frequency reduction model, in which the dominant fatigue mode can be identified from the sensitivity scale factors of sublaminate elastic properties, provides natural frequency vs. fatigue cycle curves for the composite laminates. Vibration tests were also conducted on $[{90}_2/0_2]_s$ carbon/epoxy laminates to verify the natural frequency reduction model. Correlations between the predictions of the model and experimental results are good.

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Design of Composite Laminates Using Enumeration Method (나열법을 이용한 복합재 적층판 설계)

  • Joung, Chanwoo;Bae, Il-Joon;Park, Young-Bin
    • Composites Research
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    • v.33 no.5
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    • pp.288-295
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    • 2020
  • Fiber-reinforced composite laminates have high specific stiffness and strength and are expected to be useful for weight reduction in weight-sensitive industries, such as automotive and aerospace. However, designing composite laminates is often dependent on designer's experience and intuition because of difficulties in determining the number of plies and stacking sequence, which tends to lead to over-design. In this study, optimal design of composite laminates was performed to minimize weight, while withstanding the given load. Based on the enumeration method, all combinations of stacking sequence satisfying the design guideline for composite laminates were considered. Composite laminates were discretized into panels. Optimal number of plies and stacking sequence for each panel were determined considering local load on each panel and contiguity across adjacent panels. Failure index from Tsai-Wu criteria was optimized for strength and buckling analysis was performed for compressive load. Stacking angles of 0, ±45 and 90° were used.

Properties of the Puff Pastry with the Pastry Margarine Content and the Number of Layers (Pastry 마가린 함량과 적층 수에 따른 puff pastry 제조 특성)

  • Han, Jang-Ho;Kim, Seok-Young;Yoon, Yoh-Chang;Lee, Si-Kyung
    • Applied Biological Chemistry
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    • v.46 no.4
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    • pp.311-316
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    • 2003
  • This study was carried out to investigate the effect of pastry margarine content and number of layers on moisture content, baking loss, specific loaf volume and the vapor action in the manufacturing process of puff pastry. As the number of layers of the puff pastry increased the moisture content of the products slightly increased. And the moisture contents of the products decreased, as the pastry margarine contents of the puff pastry increased in the same number of layers. The baking loss of the products tended to decrease as the number of layers increased. On the other hand, as the pastry margarine contents of the puff pastry increased, the baking loss of the product increased. When the pastry margarine content in puff pastries became 130%, 81 layers provided the maximum specific loaf volumes $21.62{\pm}0.79\;ml/g$ of puff pastries. When 110% of margarine and 256 layers were applied for preparation of puff pastry, the number of vapor action was $8.25{\pm}0.50$ with the vapor action size of 9-15 mm.

A Method to Predict the Open-Hole Tensile Strength of Composite Laminate (원공을 가지는 복합재 적층판의 인장강도 예측 기법)

  • Lee, Heun-Ju;Shin, In-Soo;Jeong, Mun-Gyu;Kweon, Jin-Hwe;Choi, Jin-Ho
    • Composites Research
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    • v.24 no.4
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    • pp.29-35
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    • 2011
  • The characteristic length method used to determine a laminate's strength generally requires the test for un-notched and notched laminates and finite element analysis together. In this paper, the methods used to predict the stress distribution and tensile characteristic length of open-hole laminates using the stress concentration factor and equivalent material properties are proposed. These methods do not require data on the failure load of open-hole laminates or finite element analysis. Once the stress and characteristic length have been determined, the failure load of the open-hole laminate can be calculated. The proposed method considers the effect of the material properties as a parameter and therefore can be applied to a variety of materials. The stress distribution is verified by comparing with a finite element analysis and test results. The predicted failure load shows a maximum deviation of 8% from the test results.

Free Vibration Analysis of Laminated Composite Stiffened Plates under the In-plane Compression and Shear Loads (면내 압축 및 전단하중을 받는 적층 복합 보강 판의 자유진동해석)

  • Han, Sung-Cheon;Choi, Samuel
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.1A
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    • pp.191-203
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    • 2006
  • The vibration characteristics of composite stiffened laminated plates with stiffener is presented using the assumed natural strain 9-node shell element. To compare with previous research, the stiffened plates are composed of carbon-epoxy composite laminate with a symmetric stacking sequence. Also, the result of the present shell model for the stiffener made of composite material is compared with that of the beam model. In the case of torsionally weak stiffener, a local buckling occurs in the stiffener. In this case, the stiffener should be idealized by using the shell elements. The current investigation concentrates upon the vibration analysis of rectangular stiffened and unstiffened composite plates when subjected to the in-plane compression and shear loads. The in-plane compression affect the natural frequencies and mode shapes of the stiffened laminated composite plates and the increase in magnitude of the in-plane compressive load reduces the natural frequencies, which will become zero when the in-plane load is equal to the critical buckling load of the plate. The natural frequencies of composite stiffened plates with shear loads exhibit the higher values than the case of without shear loads. Also, the intersection, between the curves of frequencies against in-plane loads, interchanges the sequence of some of the mode shapes as a result of the increase in the inplane compressive load. The results are compared with those available in the literature and this result shows that the present shell model for the stiffened plate gives more accurate results. Therefore, the magnitude, direction type of the in-plane shear and compressive loads in laminated composite stiffened plates should be selected properly to control the specific frequency and mode shape. The Lanczos method is employed to solve the eigenvalue problems.

Stacking method of thick composite laminates considering interlaminar normal stresses (층간수직응력을 고려한 두꺼운 복합적층판의 적층방법)

  • 김동민;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.5
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    • pp.944-951
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    • 1988
  • Global-Local Laminate Variational Model is utilized to investigate the characteristics of interlaminar stresses in thick composite laminates under uniform axial extension. Various laminates with different fiber orientation and stacking sequences are analyzed to observe the behavior of interlaminar normal stresses. From this result, the interlaminar normal stress distribution along the laminate interfaces is examined and discussed with an existing approximation model. The repeated stacking of Poisson's ratio symmetric sublaminates is found to be the best stacking method of thick composite laminates to reduce the interlaminar normal stresses for the prevention of the free-edge delamination.

Crack Formation and Propagation Behavior of $Al_2$$O_3$/$ZrO_2$Laminate Composites ($Al_2$$O_3$/$ZrO_2$적층복합체의 균열생성 및 전파거동)

  • 방희곤;박상엽
    • Journal of the Korean Ceramic Society
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    • v.37 no.11
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    • pp.1058-1064
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    • 2000
  • 연속슬립캐스팅 및 상압소결법으로 $Al_2$O$_3$/ZrO$_2$적층복합체를 제조하였으며, 적층복합체에서 ZrO$_2$층을 단사정, 정방정 및 입방정으로 각각 달리 적층하여 균열생성 및 전파 거동에 미치는 ZrO$_2$상의 영향을 고찰하였다. 균열 생성은 냉각시 $Al_2$O$_3$층과 ZrO$_2$층 간의 열팽창 계수의 차이에 의한 열적불일치응력이 가장 큰 요인으로 작용하였다. 적층체 내에 존재하는 균열은 tetra-ZrO$_2$의 경우 적층두께 조절로 가능하였으며, cubic-ZrO$_2$의 경우는 냉각속도 조절로 균열밀도로 크게 낮출 수 있었다. $Al_2$O$_3$/ZrO$_2$적층체를 구성하는 세가지 ZrO$_2$상(mono, tetra, cubic)들 중에서 cubic-ZrO$_2$가 포함된 적층체의 경우 $Al_2$O$_3$와 ZrO$_2$계면에 형성된 잔류압축응력으로 인한 균열굴절 효과를 얻을 수 있었다.

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