• 제목/요약/키워드: Quasi-equilibrium model

검색결과 27건 처리시간 0.018초

A simple quasi-3D sinusoidal shear deformation theory with stretching effect for carbon nanotube-reinforced composite beams resting on elastic foundation

  • Hadji, Lazreg;Zouatnia, Nafissa;Meziane, Mohamed Ait Amar;Kassoul, Amar
    • Earthquakes and Structures
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    • 제13권5호
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    • pp.509-518
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    • 2017
  • The objective of the present paper is to investigate the bending behavior with stretching effect of carbon nanotube-reinforced composite (CNTRC) beams. The beams resting on the Pasternak elastic foundation, including a shear layer and Winkler spring, are considered. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are estimated by using the rule of mixture. The significant feature of this model is that, in addition to including the shear deformation effect and stretching effect it deals with only 4 unknowns without including a shear correction factor. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are assessed by employing the rule of mixture. The equilibrium equations have been obtained using the principle of virtual displacements. The mathematical models provided in this paper are numerically validated by comparison with some available results. New results of bending analyses of CNTRC beams based on the present theory with stretching effect is presented and discussed in details. the effects of different parameters of the beam on the bending responses of CNTRC beam are discussed.

Nonlocal strain gradient theory for buckling and bending of FG-GRNC laminated sandwich plates

  • Basha, Muhammad;Daikh, Ahmed Amine;Melaibari, Ammar;Wagih, Ahmed;Othman, Ramzi;Almitani, Khalid H;Hamed, Mostafa A.;Abdelrahman, Alaa;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제43권5호
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    • pp.639-660
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    • 2022
  • The bending and buckling behaviours of FG-GRNC laminated sandwich plates are investigated by using novel five-variables quasi 3D higher order shear deformation plate theory by considering the modified continuum nonlocal strain gradient theory. To calculate the effective Young's modulus of the GRNC sandwich plate along the thickness direction, and Poisson's ratio and mass density, the modified Halpin-Tsai model and the rule of the mixture are employed. Based on a new field of displacement, governing equilibrium equations of the GRNC sandwich plate are solved using a developed approach of Galerkin method. A detailed parametric analysis is carried out to highlight the influences of length scale and material scale parameters, GPLs distribution pattern, the weight fraction of GPLs, geometry and size of GPLs, the geometry of the sandwich plate and the total number of layers on the stresses, deformation and critical buckling loads. Some details are studied exclusively for the first time, such as stresses and the nonlocality effect.

Modelling headed stud shear connectors of steel-concrete pushout tests with PCHCS and concrete topping

  • Lucas Mognon Santiago Prates;Felipe Piana Vendramell Ferreira;Alexandre Rossi;Carlos Humberto Martins
    • Steel and Composite Structures
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    • 제46권4호
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    • pp.451-469
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    • 2023
  • The use of precast hollow-core slabs (PCHCS) in civil construction has been increasing due to the speed of execution and reduction in the weight of flooring systems. However, in the literature there are no studies that present a finite element model (FEM) to predict the load-slip relationship behavior of pushout tests, considering headed stud shear connector and PCHCS placed at the upper flange of the downstand steel profile. Thus, the present paper aims to develop a FEM, which is based on tests to fill this gap. For this task, geometrical non-linear analyses are carried out in the ABAQUS software. The FEM is calibrated by sensitivity analyses, considering different types of analysis, the friction coefficient at the steel-concrete interface, as well as the constitutive model of the headed stud shear connector. Subsequently, a parametric study is performed to assess the influence of the number of connector lines, type of filling and height of the PCHCS. The results are compared with analytical models that predict the headed stud resistance. In total, 158 finite element models are processed. It was concluded that the dynamic implicit analysis (quasi-static) showed better convergence of the equilibrium trajectory when compared to the static analysis, such as arc-length method. The friction coefficient value of 0.5 was indicated to predict the load-slip relationship behavior of all models investigated. The headed stud shear connector rupture was verified for the constitutive model capable of representing the fracture in the stress-strain relationship. Regarding the number of connector lines, there was an average increase of 108% in the resistance of the structure for models with two lines of connectors compared to the use of only one. The type of filling of the hollow core slab that presented the best results was the partial filling. Finally, the greater the height of the PCHCS, the greater the resistance of the headed stud.

Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures

  • Malek Hadji;Abdelhakim Bouhadra;Belgacem Mamen;Abderahmane Menasria;Abdelmoumen Anis Bousahla;Fouad Bourada;Mohamed Bourada;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • 제46권1호
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    • pp.1-13
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    • 2023
  • Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the Winkler-Pasternak foundation on the displacements, axial and shear stresses of the sandwich structure.

기후변화예측을 위한 해양대순환모형의 개발 (Development of Oceanic General Circulation Model for Climate Change Prediction)

  • 안중배;이효신
    • 한국해양학회지:바다
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    • 제3권1호
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    • pp.16-24
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    • 1998
  • 본 연구에서는 해양-대기 접합기후계의 연구를 위해 대기대순환모형에 대응하는 해양대순환모형을 개발하였고 이 해양대순환모형을 이용하여 주어진 대기경계조건에 대한 해양의 반응을 연구하였다. 기후학적 월평균값을 이용하여 모형을 100년동안 적분하였을 때(EXP 1), 해수온과 해류 등 모사된 대규모 해양상태는 관측과 유사하게 나타났다. 그러나 북적도반류와 같은 좁은 구역의 해류는 모형이 성긴 격자를 사용함으로 불가피하게 흐트러졌다. 남극주변의 남빙양상의 해빙의 계절변화 또한 잘 모사되었다. NCEP/NCAR Reanalysis Project로부터 얻어진 10년 월평균자료(1982-1991)를 경계조건으로 한 EXP 2에서 모형은 1982-1983과 1986-1987의 엘니뇨를 포함하는 그 기간 동안의 주요한 해양변화를 적절히 모사해 내었다. ENSO기간 동안 모형은 편서풍 아노말리의 동진에 따른 서향류 아노말리에 반응하여 동쪽으로 팽창하는 더운물과 적도를 따른 음의 연직속도 아노말리를 보여주고 있다. 엘니뇨와 상관한 아노말리 분포와 그 시간전개는 관측과 일치하고 있다. 일련의 실험들은 본 모형이 해양의 평균상태 및 아노말리를 재생산하는 능력을 가지고 있고, 해양-대기 결합계의 연구를 위해 효과적으로 사용될 수 있음을 보여준다.

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Bending analysis of porous microbeams based on the modified strain gradient theory including stretching effect

  • Lemya Hanifi Hachemi Amar;Abdelhakim Kaci;Aicha Bessaim;Mohammed Sid Ahmed Houari;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제89권3호
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    • pp.225-238
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    • 2024
  • In this paper, a quasi-3D hyperbolic shear deformation theory for the bending responses of a functionally graded (FG) porous micro-beam is based on a modified couple stress theory requiring only one material length scale parameter that can capture the size influence. The model proposed accounts for both shear and normal deformation effects through an illustrative variation of all displacements across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the micro-beam. The effective material properties of the functionally graded micro-beam are assumed to vary in the thickness direction and are estimated using the homogenization method of power law distribution, which is modified to approximate the porous material properties with even and uneven distributions of porosity phases. The equilibrium equations are obtained using the virtual work principle and solved using Navier's technique. The validity of the derived formulation is established by comparing it with the ones available in the literature. Numerical examples are presented to investigate the influences of the power law index, material length scale parameter, beam thickness, and shear and normal deformation effects on the mechanical characteristics of the FG micro-beam. The results demonstrate that the inclusion of the size effects increases the microbeams stiffness, which consequently leads to a reduction in deflections. In contrast, the shear and normal deformation effects are just the opposite.

토양 중 살균제 Pencycuron의 잔류 특성 (Persistence of Fungicide Pencycuron in Soils)

  • 안설화;안문호;임일빈;이상복;강종국
    • 농약과학회지
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    • 제10권4호
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    • pp.296-305
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    • 2006
  • 토양 중 pencycuron의 온도, 수분함량 및 토성에 따른 흡착, 잔류 특성을 구명하고자 실내 및 포장실험과 환경의 영향에 대하여 실험을 수행하였다. 2종 토양에서 진탕 시간과 약제의 흡착량사이에 높은 유의성이 있는 power function의 상관관계가 인정되었다. 흡착속도는 진탕 1시간 이내에 사질식양토에서 최대 흡착량의 60%가, 미사질식양토에서 65%가 흡착되었고, 12시간 후에는 의사평형에 도달하였다. Pencycuron의 농도별 흡착은 Freundlich 등온식에 부합되었으며, 흡착분배계수 $K_d$값은 사질식양토에서 2.31, 미사질식양토에서 2.92었다. 토양 중 유기탄소에 대한 분배계수 $K_{oc}$는 사질식양토에서 292.9이었고, 미사질식양토에서 200.5이었다. 흡착강도 및 비선형도를 성명하는 상수값은 사질식양토에서 1.45, 미사질식양토에서 1.68이었다. 실내 실험에 있어서 pencycuron의 잔류는 1차 반응식에 부합되었고, 반감기는 $12^{\circ}C{\sim}28^{\circ}C$에서 95일${\sim}$20일로, 토양 수분함량이 포장용수량의 $30{\sim}70%$인 토양에서 38일에서 21일로 짧아졌다. 토양 종류에 따른 pencycuron의 반감기는 토성이 현저히 달랐음에도 사질식양토에서 25일, 미사질식양토에서 22일로 나타났다. 포장 실험에서도 pencycuron의 반감기는 사질식양토에서 26일, 미사질식양토에서 23일이었다. 포장에서 10%까지 잔류되는 기간은 미사질식양토에서 57일, 사질식양토에서 69일로 나타났다.