• 제목/요약/키워드: Inplane stress

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적층복합판의 충격에 의한 모재균열 및 층간분리에 관한 연구 (Matrix Cracking and Delmaination in Laminated Composite Plates Due to Impact)

  • 김문생;박승범
    • 대한기계학회논문집A
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    • 제21권2호
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    • pp.317-326
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    • 1997
  • An investigation was performed to study the matrix cracking and delamination in laminated composite plates due to transverse impact. A model was developed for predicting the initiation of the matrix cracking and the shape and size of impact-induced delamination in laminated composite plates resulting from the ballistic impact. The model consists of a stress analysis and a failure analysis. A transient finite element analysis which was based on the higher-order shear deformation theory was adopted for calculating the stresses inside the laminated composite plates during impact. A failure analysis was used to predict the initial intraply matrix cracking and the shape and size of the interface delamination in the laminates. As a results, a shear matrix cracking which was governed by the transverse interlaminar shear stress occured at the middle layer near the midplane of laminates and a bending matrix cracking which was governed by the transverse inplane stress occured at the bottom layer near the surface of laminates. In a thick laminates, a shear matrix cracking generated first at the middle layer of laminates, but in a thin laminates, a bending matrix cracking generated first at the bottom layer of laminates.

전단 좌굴을 고려한 샌드위치 평판의 최적 구조 설계에 관한 연구 (Optimum Structural Design of Sandwich Plates Considering the Shear Buckling)

  • 장창두;조민수
    • 대한조선학회논문집
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    • 제33권3호
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    • pp.56-65
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    • 1996
  • 최근 재료 과학의 발달과 함께 선박의 초고속화를 추구함에 따라 높은 강도와 중량의 경량화를 동시에 만족시킬 수 있는 복합 재료에 대한 요구가 증대되고 있다. 샌드위치 구조 형식은 두껍고 약한 저밀도의 심재와 얇고 강한 고밀도의 면재가 접착된 복합 구조의 한 형태로서 두 개의 면재가 중립 축으로부터 멀리 떨어지게 됨으로써 2차 모멘트가 크게 되어 구조의 강성을 증가시킬 수 있는 가장 효과적인 경량의 구조 형식이다. 본 연구에서는 샌드위치 평판 구조가 분포 하중, 압축 하중, 전단 하중 및 이 들의 복합하중을 받을 때의 응력 및 좌굴 하중을 Rayleigh-Ritz법을 이용하여 정밀 해석하였다. 그리고, 샌드위치 평판에 대한 초기 설계에 응용이 가능하도록 좌굴응력 외에 Wrinkling 응력에 관한 제한조건을 고려하여 샌드위치 평판의 최소 중량 설계를 수행하였다.

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Buckling analysis of functionally graded material grid systems

  • Darilmaz, K.;Aksoylu, M. Gunhan;Durgun, Yavuz
    • Structural Engineering and Mechanics
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    • 제54권5호
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    • pp.877-890
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    • 2015
  • This paper aims to fill the technical gap on the elastic buckling behavior of functionally graded material (FGM) grid systems under inplane loads on which few research has been done. Material properties of an FG beam are assumed to vary smoothly in the thickness direction according to power and exponential laws. Based on a hybrid-stress finite element formulation, buckling solutions for FGM grid systems consisting of various aspect ratios and material gradation are provided. The numerical results demonstrate that the aspect ratio and material gradation play an important role in the buckling behavior of FGM grid systems. We believe that the new results obtained from this study, will be very useful to designers and researchers in this field.

횡방향 하중을 받는 CFRF 적층복합재의 내부손상에 관한 연구 (A Study on the Damage of CFRP Laminated Composites Under Out-of-Plane Load)

  • 김문생;박승범;오득창
    • 한국정밀공학회지
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    • 제12권11호
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    • pp.98-109
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    • 1995
  • An investigation was performed to study the inner damage of laminated composite plates subjected to out-of-plane load. During the investigation, inpact velocity and equivalent static load relationship was derived. Reddy's higher-order shear deformation theory(HSDT) and Hashin's failure criteria were used to determine inner stresses and damaged area. And impact testing was carried out on laminated composite plates by air gun type impact testing machine. The CFRP specimens were composed of [ .+-. 45 .deg. ]$_{4}$and [ .+-. 45 .deg. /0 .deg. /90 .deg. ]$_{2}$ stacking sequences with 0.75$^{t}$ * 26$^{w}$ * 100$^{l}$ (mm) dimension. After impact testing. As a result, a relationship holds between damaged area and impact energy, and a matrix cracking was caused by the interlaminar shear stress in the middle ply and was caused by the inplane transverse stress in the bottom ply.

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평균 응력을 고려한 음향 하중을 받는 항공기 센서 포드 외피 구조의 내구 수명 분석 (Fatigue Life Prediction for the Skin Structures of Aircraft Sensor Pod Under Acoustic Load with Mean Stress)

  • 전민혁;김연주;조현준;이미연;김인걸;이한솔;조재명;배종인;박기영
    • 한국군사과학기술학회지
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    • 제26권1호
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    • pp.1-9
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    • 2023
  • The skin structure of sensor pod mounted on the exterior of aircraft can be exposed to the acoustic dynamic load and static load such as aerodynamic pressure and inertial load during flight. Fatigue life prediction of structural model under acoustic load should be performed and also differential stiffness of model modified by static load should be considered. The acoustic noise test spectrum of MIL-STD-810G was applied to the structural model and the stress response power spectral density (PSD) was calculated. The frequency response analysis was performed with or without prestress induced by inplane static load, and the response spectrum was compared. Time series data was generated using the calculated PSD, and the time and frequency domain fatigue life were predicted and compared. The variation of stress response spectrum due to static load and predicted fatigue life according to the different structural model considering mean stress were examined and decreasing fatigue life was observed in the model with prestress of compressive static load.

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

  • 강동식;이병언;박으뜸;김정;강범수;송우진
    • 소성∙가공
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    • 제23권5호
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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.

Large deflection analysis of orthotropic, elliptic membranes

  • Chucheepsakul, Somchai;Kaewunruen, Sakdirat;Suwanarat, Apiwat
    • Structural Engineering and Mechanics
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    • 제31권6호
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    • pp.625-638
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    • 2009
  • Applications of membrane mechanisms are widely found in nano-devices and nano-sensor technologies nowadays. An alternative approach for large deflection analysis of the orthotropic, elliptic membranes - subject to gravitational, uniform pressures often found in nano-sensors - is described in this paper. The material properties of membranes are assumed to be orthogonally isotropic and linearly elastic, while the principal directions of elasticity are parallel to the coordinate axes. Formulating the potential energy functional of the orthotropic, elliptic membranes involves the strain energy that is attributed to inplane stress resultant and the potential energy due to applied pressures. In the solution method, Rayleigh-Ritz method can be used successfully to minimize the resulting total potential energy generated. The set of equilibrium equations was solved subsequently by Newton-Raphson. The unparalleled model formulation capable of analyzing the large deflections of both circular and elliptic membranes is verified by making numerical comparisons with existing results of circular membranes as well as finite element solutions. The results are found in excellent agreements at all cases. Then, the parametric investigations are given to delineate the impacts of the aspect ratios and orthotropic elasticity on large static tensions and deformations of the orthotropic, elliptic membranes.

압전재료에 대한 면외하중하의 모서리 경사 균열 (Inclined Edge Crack in a Piezoelectric Material Under Antiplane Loads)

  • 최성렬;사종엽;정재택
    • 대한기계학회논문집A
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    • 제39권6호
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    • pp.589-596
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    • 2015
  • 횡등방성 압전재료에 대한 모서리경사균열 문제를 해석하였다. 두 기계적 집중 면외하중과 전기적 집중 면내하중이 표면과 균열면에 각각 작용하고, 균열면은 절연균열면이다. 일반화된 변위벡터를 도입하고 Mellin 변환을 사용하여 문제를 수식화하고, 이로부터 Wiener-Hopf 식을 유도하였다. 이식을 풀므로써 폐형으로 주어지는 해를 얻었다. 임의의 균열길이나 경사각에 대해서도 적용이 되는 응력 및 전기변위 강도계수와 에너지 방출율을 구하였다. 이 해는 중첩에 의하여 임의로 분포하는 전기기계하중 문제에 대한 해를 제공하는 기본해로 사용될 수 있다.

평직 탄소섬유강화 복합재료의 파괴인성평가 (The Evaluation of Fracture Toughness for Woven Carbon Fibered Reinforced Composite Materials)

  • 박홍선;이우형;금진화;최정훈;구재민;석창성
    • 한국정밀공학회지
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    • 제27권10호
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    • pp.69-76
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    • 2010
  • This study examined how the fracture toughness is affected according to the variation of the initial crack length and the fiber arranged angle using FEA method and experimental method. Therefore, the energy release rates were calculated and compared by J-integral method and VCCT(Virtual Crack Closure Technique). The results of fracture toughness test verified these results. At this time, the locus method was used in order to determine the energy release rate. When the results of FEA were compared with those of experiment, all of those decreased with the increase of angle between load and the fiber arranged direction. The decrease was due to reducing maximum load and stiffness, and the reason of reduction has been judged that the inplane shear stress.

Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Structural Engineering and Mechanics
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    • 제51권5호
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    • pp.867-891
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    • 2014
  • An equivalent single layer trigonometric shear deformation theory taking into account transverse shear deformation effect as well as transverse normal strain effect is presented for static flexure of cross-ply laminated composite and sandwich plates. The inplane displacement field uses sinusoidal function in terms of thickness coordinate to include the transverse shear deformation effect. The cosine function in thickness coordinate is used in transverse displacement to include the effect of transverse normal strain. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term (involving thickness coordinate z) is expanded in power series, the kinematics of higher order theories (which are usually obtained by power series in thickness coordinate z) are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The closed-form solutions of simply supported cross-ply laminated composite and sandwich plates have been obtained. The results of present theory are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory.