• 제목/요약/키워드: Potential theory

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A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제90권5호
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

계획된 행동이론(TPB)을 적용한 외모관리행동에 대한 연구 - 피부, 화장, 의복, 헤어, 체중관리 행동을 중심으로 - (Study on the Theory of Planned Behavior applied to appearance management behavior: focused on skin care, makeup, apparel, hair and weight management behaviors)

  • 이지영;박길순
    • 한국생활과학회지
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    • 제21권2호
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    • pp.331-347
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    • 2012
  • The purpose of this study was to explore how the Theory of Planned Behavior applies to five appearance management behaviors and the effects of three variables - attitude, subjective norm, and perceived behavior control on appearance management behaviors. The research was conducted by surveying 410 female adult respondents between the ages of 20 to 40 with the goal of predicting the appearance management behavior of women. The data were analyzed using IBM SPSS Statistics 19.0 and Amos 19 in addition to Frequency analysis and path analysis. In the first case, the potential for applying appearance management theory on appearance management behavior of women was observed. The appearance management behavior performed by women was classified into five categories: skin care behavior, makeup management behavior, apparel management behavior, hair care behavior, and weight management behavior. It was determined all five behaviors could be predicted by applying the Theory of Planned Behavior. In the second case, effects of attitude related to subjective norm and perceived behavior control related to skin care behavior was statistically significant. In terms of makeup management behavior, all of the three variables were statistically significant. With regard to apparel management behavior, only subjective norm behavior was statistically significant. Concerning hair care behavior, attitude and perceived behavior control were statistically significant. On weight management behavior only attitude was statistically significant.

3차원 층구조체의 복합해석 및 컴퓨터 프로그램의 개발 (Development of Composite Theory and Computer Program for 3-D Layered System)

  • 임종균;박문호;김진규
    • 대한토목학회논문집
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    • 제14권1호
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    • pp.39-48
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    • 1994
  • 본 연구는 3차원 층구조체의 복합이론 및 유한요소해석 프로그램의 개발에 목적이 있다. 3차원 층구조체는 선형, 탄성, 등방성의 작은 변위에 제한을 두었으며, 변위를 나타내기 위하여 global 좌표축외에 local 좌표축을 사용하는 multiscale 의 방법을 이용하였다. 유한요소법의 적용시 요구되는 주종속 변수들은 $C_o$ 연속성을 만족하도록 택하여 해석하였으며 그결과 해석이 아주 간편하였으며 계산과정이 매우 경제적이었다. 지금까지 개발되어온 대개의 복합이론은 중첩의 원리를 사용하여 비선형 해석에는 쉽게 적용될 수 없었으나 본 연구에서 개발한 복합이론은 비선형해석에 용이하게 적용할 수 있다. 본 연구에서 개발된 복합이론의 정당성과 사용성을 입증하기 위하여 2차원 및 3차원의 탄성받침을 해석하여 이산화해석의 결과치와 비교, 검토하였다.

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A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

  • Bouafia, Khadra;Kaci, Abdelhakim;Houari, Mohammed Sid Ahmed;Benzair, Abdelnour;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제19권2호
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    • pp.115-126
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    • 2017
  • In this paper, size dependent bending and free flexural vibration behaviors of functionally graded (FG) nanobeams are investigated using a nonlocal quasi-3D theory in which both shear deformation and thickness stretching effects are introduced. The nonlocal elastic behavior is described by the differential constitutive model of Eringen, which enables the present model to become effective in the analysis and design of nanostructures. The present theory incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect, and furthermore accounts for both shear deformation and thickness stretching effects by virtue of a hyperbolic variation of all displacements through the thickness without using shear correction factor. The material properties of FG nanobeams are assumed to vary through the thickness according to a power law. The neutral surface position for such FG nanobeams is determined and the present theory based on exact neutral surface position is employed here. The governing equations are derived using the principal of minimum total potential energy. The effects of nonlocal parameter, aspect ratio and various material compositions on the static and dynamic responses of the FG nanobeam are discussed in detail. A detailed numerical study is carried out to examine the effect of material gradient index, the nonlocal parameter, the beam aspect ratio on the global response of the FG nanobeam. These findings are important in mechanical design considerations of devices that use carbon nanotubes.

Pressure loading, end- shortening and through- thickness shearing effects on geometrically nonlinear response of composite laminated plates using higher order finite strip method

  • Sherafat, Mohammad H.;Ghannadpour, Seyyed Amir M.;Ovesy, Hamid R.
    • Structural Engineering and Mechanics
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    • 제45권5호
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    • pp.677-691
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    • 2013
  • A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

Some Calculated (p,α) Cross-Sections Using the Alpha Particle Knock-On and Triton Pick-Up Reaction Mechanisms: An Optimisation of the Single-Step Feshbache-Kermane-Koonin (FKK) Theory

  • Olise, Felix S.;Ajala, Afis;Olaniyi, Hezekiah B.
    • Nuclear Engineering and Technology
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    • 제48권2호
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    • pp.482-494
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    • 2016
  • The Feshbache-Kermane-Koonin (FKK) multi-step direct (MSD) theory of pre-equilibrium reactions has been used to compute the single-step cross-sections for some (p,${\alpha}$) reactions using the knock-on and pick-up reaction mechanisms at two incident proton energies. For the knock-on mechanism, the reaction was assumed to have taken place by the direct ejection of a preformed alpha cluster in a shell-model state of the target. But the reaction was assumed to have taken place by the pick-up of a preformed triton cluster (also bound in a shell-model state of the target core) by the incident proton for the pick-up mechanism. The Yukawa forms of potential were used for the proton-alpha (for the knock-on process) and proton-triton (for the pick-up process) interaction and several parameter sets for the proton and alpha-particle optical potentials. The calculated cross-sections for both mechanisms gave satisfactory fits to the experimental data. Furthermore, it has been shown that some combinations of the calculated distorted wave Born approximation cross-sections for the two reaction mechanisms in the FKK MSD theory are able to give better fits to the experimental data, especially in terms of range of agreement. In addition, the theory has been observed to be valid over a wider range of energy.

Multi-potential capacity for reinforced concrete members under pure torsion

  • Ju, Hyunjin;Han, Sun-Jin;Kim, Kang Su;Strauss, Alfred;Wu, Wei
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.401-414
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    • 2020
  • Unlike the existing truss models for shear and torsion analysis, in this study, the torsional capacities of reinforced concrete (RC) members were estimated by introducing multi-potential capacity criteria that considered the aggregate interlock, concrete crushing, and spalling of concrete cover. The smeared truss model based on the fixed-angle theory was utilized to obtain the torsional behavior of reinforced concrete member, and the multi-potential capacity criteria were then applied to draw the capacity of the member. In addition, to avoid any iterative calculation in the existing torsional behavior model, a simple strength model was suggested that considers key variables, such as the effective thickness of torsional member, principal stress angle, and strain effect that reduces the resistance of concrete due to large longitudinal tensile strain. The proposed multi-potential capacity concept and the simple strength model were verified by comparing with test results collected from the literature. The study found that the multi-potential capacity could estimate in a rational manner not only the torsional strength but also the failure mode of RC members subjected to torsional moment, by reflecting the reinforcing index in both transverse and longitudinal directions, as well as the sectional and material properties of RC members.

고형오구 입자크기가 고형오구의 세척성에 미치는 영향 (The Effect of Particle Size on the Detergency of Particulate Soil)

  • 문미화;강인숙
    • 한국의류학회지
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    • 제34권4호
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    • pp.653-662
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    • 2010
  • This study investigates the effect of particle size on the detergency of particulate soil using an $\alpha-Fe_2O_3$ particle as the model. Monodispersed spherical $\alpha-Fe_2O_3$ particles were prepared by the hydrothermal aging of an acidic $FeCl_3$ and HCl solution. The $\xi$-potential of PET fiber was measured by the streaming potential method. The potential energy of interaction between the particle and fiber was calculated using the heterocoagulation theory for a sphere-plate model. The $\xi$-potential of PET fiber and potential energy of interaction between particles and fiber increased with a decreasing particle size in a DBS solution. However, in the nonionic surfactant solution, the $\xi$-potential signs of PET fiber and $\alpha-Fe_2O_3$ particles were (-) and (+), respectively; there was no repulsive power between the particles and substrate. The adhesion of particles to the fabric increased with increasing particle size in the anionic surfactant solution and their removal from the fabric increased with a decreasing particle size. The adhesion of particles to the fabric and their removal from the fabric was biphasic with a maximum and minimum at 0.1% concentration of the surfactant solution. In the nonionic surfactant solution the adhesion of particles to fabric and their removal from the fabric were greater than the ones in the anionic surfactant DBS solution.

어메니티자원과 인적자원을 고려한 농촌마을의 관광잠재력 평가기법 개발 (Development of Green-Tourism Potential Evaluation Method for Rural Villages Considering Amenity and Human Resources)

  • 김대식;최현성
    • 농촌계획
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    • 제13권2호
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    • pp.7-16
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    • 2007
  • This study aims to develop an evaluation method of green-tourism potential in village level with amenity resources of rural villages, considering human resources of the village. The amenity resources evaluation system was classified into three sub-classes with social, industrial, and natural resources. The system consisted of a relationship diagram between three classes resources and tourists' behavior. The new methodology considers human resources as a key factor for green-tourism potential evaluation of villages, including the amenity resources of three sub-classes. In quantitative method for the criteria, this study adopted a new method of continuous linear score method, which is applying fuzzy theory, not to give score with the existing discrete scoring method with several steps. The weighting values of the evaluation criteria were calculated from the step wise pair-comparision results by AHP(Analytic Hierachy Process) method, which industrial, natural, and social resources have relative weighting values of 523/1000, 319/1000, and 158/1000, respectively. In evaluation of another weighting value by the same methodology, the results showed that the amenity and the human resources have weighting values of 627/100 and 373/1000, respectively. The new evaluation method was applied to make the potential evaluation for rural villages of the study area, which located on Narial-myun, Keumsan-gun, Chungnam province. The development priority among the villages could be suggested reasonably by the new findings of this study, according to the evaluation results showing that the village with high possibility for development in green-tourism has high score in the potential evaluation.

수중 콜로이드성 고형물의 계면화학적 특성 및 영향 인자 조건에 따른 안정성의 변화 (Interfacial Features of Colloidal Particles in Aqueous Environment and Change in Its Stability According to Influential Conditions)

  • 신성혜;김동수
    • 대한환경공학회지
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    • 제22권12호
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    • pp.2227-2238
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    • 2000
  • 수중 부유입자의 효과적인 제거 방안을 모색하고자 $CaCO_3$로 구성된 부유물의 계면화학적 특성을 고찰하였다. pH에 따른 전기영동도 측정에서는 수중 $OH^-$의 작용으로 pH가 상승함에 따라 electrokinetic potential은 음의 방향으로 변환하는 것으로 나타났다. 계면활성제는 부유물의 안정성에 영향을 끼치는 바, 계면활성제의 농도 및 전하에 따라 영향을 미치는 양상이 다르게 나타났다. 무기응집제의 경우에 있어서도 그 전하가 및 농도에 따라 부유물의 계면화학적 거동이 달라졌으며 이는 DLVO 이론에 의거하여 작성된 potential energy의 변화추이와 관련하여 이론적으로 해석될 수 있었다. Non-specific adsorption은 전기이중층의 압축을 초래하여 electrokinetic potential의 절대값 감소를 야기시켰으며 specific adsorption은 부유입자의 IEP 및 PZC가 상호 반대방향으로 이동하는 결과를 나타내었다.

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