• 제목/요약/키워드: higher-order formulation

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경북기반시설의 고성능 방재를 위한 복합소재 적층구조의 동적특성 (Dynamic Characteristics of Laminated Composite Structures for High-Performance Disaster Prevention of Gyeongbuk Infrastructures)

  • 이상열
    • 한국산학기술학회논문지
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    • 제13권3호
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    • pp.1352-1358
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    • 2012
  • 본 연구에서는 층간 분리된 복합소재 구조의 동적 해석을 고차항 이론에 근간하여 수행하였다. 2차원 유한요소 정식화에서 층간분리영역 경계에서의 변위를 일치시키기 위한 변환기법을 적용하였다. 불안정 영역의 경계는 Bolotin의 이론을 적용하여 산정하였다. 경사판에 대한 해석 결과는 기존 문헌 결과와 잘 일치하였다. 복합소재 적층구조에 대한 새로운 해석 결과들은 다양한 기하학적 영향과의 상호거동 관계를 보여준다.

Nonlinear flexural analysis of laminated composite flat panel under hygro-thermo-mechanical loading

  • Kar, Vishesh R.;Mahapatra, Trupti R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제19권4호
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    • pp.1011-1033
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    • 2015
  • In this article, large amplitude bending behaviour of laminated composite flat panel under combined effect of moisture, temperature and mechanical loading is investigated. The laminated composite panel model has been developed mathematically by introducing the geometrical nonlinearity in Green-Lagrange sense in the framework of higher-order shear deformation theory. The present study includes the degraded composite material properties at elevated temperature and moisture concentration. In order to achieve any general case, all the nonlinear higher order terms have been included in the present formulation and the material property variations are introduced through the micromechanical model. The nonlinear governing equation is obtained using the variational principle and discretised using finite element steps. The convergence behaviour of the present numerical model has been checked. The present proposed model has been validated by comparing the responses with those available published results. Some new numerical examples have been solved to show the effect of various parameters on the bending behaviour of laminated composite flat panel under hygro-thermo-mechanical loading.

Free vibrations of laminated composite plates using a novel four variable refined plate theory

  • Sehoul, Mohammed;Benguediab, Mohamed;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제24권5호
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    • pp.603-613
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    • 2017
  • In this research, the free vibration response of laminated composite plates is investigated using a novel and simple higher order shear deformation plate theory. The model considers a non-linear distribution of the transverse shear strains, and verifies the zero traction boundary conditions on the surfaces of the plate without introducing shear correction coefficient. The developed kinematic uses undetermined integral terms with only four unknowns. Equations of motion are obtained from the Hamilton's principle and the Navier method is used to determine the closed-form solutions of antisymmetric cross-ply and angle-ply laminates. Numerical examples studied using the present formulation is compared with three-dimensional elasticity solutions and those calculated using the first-order and the other higher-order theories. It can be concluded that the present model is not only accurate but also efficient and simple in studying the free vibration response of laminated composite plates.

Hygrothermal analysis of laminated composites using C0 FE model based on higher order zigzag theory

  • Singh, S.K.;Chakrabarti, A.
    • Steel and Composite Structures
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    • 제23권1호
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    • pp.41-51
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    • 2017
  • A $C^0$ FE model developed based on an efficient higher order zigzag theory is used for hygrothermal analysis of laminated composite plates. The $C^0$ FE model satisfies the inter-laminar shear stress continuity at the interfaces and zero transverse shear stress conditions at plate top and bottom. In this model the first derivatives of transverse displacement have been treated as independent variables to circumvent the problem of $C^1$ continuity associated with the above plate theory. In the present theory the above mentioned $C^0$ continuity of the present element is compensated in the stiffness matrix formulation by using penalty parameter approach. In order to avoid stress oscillations observed in the displacement based finite element, the stress field derived from temperature/moisture fields (initial strains) must be consistent with total strain field. Special steps are introduced by field consistent approach (e.g., sampling at gauss points) to compensate this problem. A nine noded $C^0$ continuous isoparametric element is used in the proposed FE model. Comparison of present numerical results with other existing solutions shows that the proposed FE model is efficient, accurate and free of locking.

Superharmonic vibrations of sandwich beams with viscoelastic core layer with the multiple scale method

  • Benaoum, Abdelhak;Youzera, Hadj;Abualnour, Moussa;Houari, Mohammed Sid Ahmed;Meftah, Sid Ahmed;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제80권6호
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    • pp.727-736
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    • 2021
  • In this work, mathematical modeling of the passive vibration controls of a three-layered sandwich beam under hard excitation is developed. Kelvin-Voigt Viscoelastic model is considered in the core. The formulation is based on the higher-order zig-zag theories where the normal and shear deformations are taken into account only in the viscoelastic core. The dynamic behaviour of the beam is represented by a complex highly nonlinear ordinary differential equation. The method of multiple scales is adopted to solve the analytical frequency-amplitude relationships in the super-harmonic resonance case. Parametric studies are carried out by using HSDT and first-order deformation theory by considering different geometric and material parameters.

개선된 일차전단변형이론을 이용한 복합재료 적층평판의 고정밀 해석 (An Accurate and Efficient Analysis of Composite Plates Based on Enhanced First-order Shear Deformation Theory)

  • 김준식;조맹효
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.407-418
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    • 2006
  • 본 논문에서는 일차전단변형이론(FSDT)을 이용한 복합재료 적층평판의 고정밀 해석기법을 소개한다. 전단수정계수가 자동적으로 포함되도록 횡방향 전단 변형에너지를 혼합변분이론(mixed variational theorem)을 이용하여 개선하였다. 혼합변분이론에서는 변분을 횡방향 응력들에 대해서만 취하였다. 가정된 횡방향 전단응력은 효율적인 고차이론(Cho and Parmerter, 1993)으로부터 구하였다 횡방향 수직응력은 3차 다항식으로 가정하였고, 무전단 응력조건과 평판의 윗면과 아랫면에서의 응력을 만족하는 조건을 부과함으로써 얻었다. 한편, 변위들에 대해서는 일차전단변형이론의 변위장을 사용하였다. 이렇게 해서 얻어진 변형 에너지를 본 논문에서는 EFSDTM3D이라고 명명 하였다. 본 논문에서 개발된 EFSDTM3D는 변위와 응력의 계산에서 고전적인 FSDT와 같은 정도의 계산 효율을 가지면서, 동시에 변위와 응력의 두께방향의 정확도를 면내 방향 응력들에 대한 최소오차자승법에 기초하여 응력 회복 과정을 적용함으로써 개선하였다. 계산된 결과는 고전적인 FSDT, 3차원 탄성해, 그리고 참고문헌 중에서 이용 가능한 결과들과 비교하여 검증하였다.

Thermal buckling properties of zigzag single-walled carbon nanotubes using a refined nonlocal model

  • Semmah, Abdelwahed;Beg, O. Anwar;Mahmoud, S.R.;Heireche, Houari;Tounsi, Abdelouahed
    • Advances in materials Research
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    • 제3권2호
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    • pp.77-89
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    • 2014
  • In the present article, the thermal buckling of zigzag single-walled carbon nanotubes (SWCNTs) is studied using a nonlocal refined shear deformation beam theory and Von-Karman geometric nonlinearity. The model developed simulates both small scale effects and higher-order variation of transverse shear strain through the depth of the nanobeam. Furthermore the present formulation also accommodates stress-free boundary conditions on the top and bottom surfaces of the nanobeam. A shear correction factor, therefore, is not required. The equivalent Young's modulus and shear modulus for zigzag SWCNTs are derived using an energy-equivalent model. The present study illustrates that the thermal buckling properties of SWCNTs are strongly dependent on the scale effect and additionally on the chirality of zigzag carbon nanotube. Some illustrative examples are also presented to verify the present formulation and solutions. Good agreement is observed.

Phagocytic Uptake of Surface modified PLGA Microspheres Using Dendritic Cell

  • Kim, Ji-Seon;Lee, Young-Sung;Lee, Jung-Gil;Park, Jeong-Sook;Lee, Jong-Kil;Chung, Youn-Bok;Han, Kun
    • Journal of Pharmaceutical Investigation
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    • 제41권3호
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    • pp.185-190
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    • 2011
  • The purpose of this study was to evaluate the phagocytic uptake of surface modified PLGA microspheres containing ovalbumin (OVA) into dendritic cell. In order to find the most suitable formulation for targeted delivery to antigen presenting cells (APC), OVA was encapsulated by a double emulsion solvent evaporation method with three PLGA microspheres (PLGA 50:50, PLGA 75:25 and PLGA 85:15) and two surface modified microspheres by chitosan and sodium dodecyl sulfate (SDS). Physicochemical properties were evaluated in terms of size, zeta potential, encapsulation efficiency, different scanning calorimeter (DSC), x-ray diffraction, morphology, and OVA release test from microspheres. Phagocytic activity was estimated using dendritic cells and analyzed by fluorescence activated cell sorter (FACS). The result showed that zeta potential of PLGA particles was changed to positive by the chitosan modification. The release profile of chitosan modified PLGA microspheres exhibited sustained release after initial burst. The chitosan modified microspheres had higher phagocytic uptake than the other microspheres. Such physicochemical properties and phagocytic uptake studies lead us to conclude that chitosan modified microspheres is more suitable formulation for the targeted delivery of antigens to APC compared with the other microspheres.

Large amplitude free vibrations of FGM shallow curved tubes in thermal environment

  • Babaei, Hadi;Kiani, Yaser;Eslami, M. Reza
    • Smart Structures and Systems
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    • 제25권6호
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    • pp.693-705
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    • 2020
  • In the current investigation, large amplitude free vibration behavior of shallow curved pipes (tubes) made of functionally graded materials is investigated. Properties of the tube are distributed across the radius of the tube and are obtained by means of a power law function. It is also assumed that all thermo-mechanical properties are temperature dependent. The governing equations of the tube are obtained using a higher order shear deformation tube theory, where the traction free boundary conditions are satisfied on the top and bottom surfaces of the tube. The von Kármán type of geometrical non-linearity is included into the formulation to consider the large displacements and small strains. Uniform temperature elevation of the tube is also included into the formulation. For the case of tubes which are simply supported in flexure and axially immovable, the governing equations are solved using the two-step perturbation technique. Closed form expressions are provided to obtain the small and large amplitude fundamental natural frequencies of the FGM shallow curved tubes in thermal environment. Numerical results are given to explore the effects of thermal environment, radius ratio, and length to thickness ratio of the tube on the fundamental linear and non-linear frequencies.

A novel higher order shear deformation theory based on the neutral surface concept of FGM plate under transverse load

  • Daouadji, Tahar Hassaine;Benferhat, Rabia;Adim, Belkacem
    • Advances in materials Research
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    • 제5권2호
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    • pp.107-120
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    • 2016
  • The static analysis of the simply supported functionally graded plate under transverse load by using a new sinusoidal shear deformation theory based on the neutral surface concept is investigated analytically in the present paper. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. The mechanical properties of the FGM plate are assumed to vary continuously through the thickness according to a power law formulation except Poisson's ratio, which is kept constant. The equilibrium and stability equations are derived by employing the principle of virtual work. Results are provided for thick to thin plates and for different values of the gradient index k, which subjected to sinusoidal or uniformly distributed lateral loads. The accuracy of the present results is verified by comparing it with finite element solution. From the obtained results, it can be concluded that the proposed theory is accurate and efficient in predicting the displacements and stresses of functionally graded plates.