• Title/Summary/Keyword: power law

Search Result 2,007, Processing Time 0.036 seconds

Effects of hygro-thermo-mechanical conditions on the buckling of FG sandwich plates resting on elastic foundations

  • Refrafi, Salah;Bousahla, Abdelmoumen Anis;Bouhadra, Abdelhakim;Menasria, Abderrahmane;Bourada, Fouad;Tounsi, Abdeldjebbar;Bedia, E.A. Adda;Mahmoud, S.R.;Benrahou, Kouider Halim;Tounsi, Abdelouahed
    • Computers and Concrete
    • /
    • v.25 no.4
    • /
    • pp.311-325
    • /
    • 2020
  • In this research work, the hygrothermal and mechanical buckling responses of simply supported FG sandwich plate seated on Winkler-Pasternak elastic foundation are investigated using a novel shear deformation theory. The current model take into consideration the shear deformation effects and ensures the zero shear stresses on the free surfaces of the FG-sandwich plate without requiring the correction factors "Ks". The material properties of the faces sheets of the FG-sandwich plate are assumed varies as power law function "P-FGM" and the core is isotropic (purely ceramic). From the virtual work principle, the stability equations are deduced and resolved via Navier model. The hygrothermal effects are considered varies as a nonlinear, linear and uniform distribution across the thickness of the FG-sandwich plate. To check and confirm the accuracy of the current model, a several comparison has been made with other models found in the literature. The effects the temperature, moisture concentration, parameters of elastic foundation, side-to-thickness ratio, aspect ratio and the inhomogeneity parameter on the critical buckling of FG sandwich plates are also investigated.

Thermal buckling analysis of magneto-electro-elastic porous FG beam in thermal environment

  • Ebrahimi, Farzad;Jafari, Ali;Selvamani, Rajendran
    • Advances in nano research
    • /
    • v.8 no.1
    • /
    • pp.83-94
    • /
    • 2020
  • An analytical formulation and solution process for the buckling analysis of porous magneto-electro-elastic functionally graded (MEE-FG) beam via different thermal loadings and various boundary conditions is suggested in this paper. Magneto electro mechanical coupling properties of FGM beam are taken to vary via the thickness direction of beam. The rule of power-law is changed to consider inclusion of porosity according to even and uneven distribution. Pores possibly occur inside FGMs due the result of technical problems that lead to creation of micro-voids in these materials. Change in pores along the thickness direction stimulates the mechanical and physical properties. Four-variable tangential-exponential refined theory is employed to derive the governing equations and boundary conditions of porous FGM beam under magneto-electrical field via Hamilton's principle. An analytical model procedure is adopted to achieve the non-dimensional buckling load of porous FG beam exposed to magneto-electrical field with various boundary conditions. In order to evaluate the influence of thermal loadings, material graduation exponent, coefficient of porosity, porosity distribution, magnetic potential, electric voltage and boundary conditions on the critical buckling temperature of the beam made of magneto electro elastic FG materials with porosities a parametric study is presented. It is concluded that these parameters play remarkable roles on the buckling behavior of porous MEE-FG beam. The results for simpler states are proved for exactness with known data in the literature. The proposed numerical results can serve as benchmarks for future analyses of MEE-FG beam with porosity phases.

A simple quasi-3D HDST for dynamic behavior of advanced composite plates with the effect of variables elastic foundations

  • Nebab, Mokhtar;Benguediab, Soumia;Atmane, Hassen Ait;Bernard, Fabrice
    • Geomechanics and Engineering
    • /
    • v.22 no.5
    • /
    • pp.415-431
    • /
    • 2020
  • In this study, dynamics responses of advanced composite plates resting variable elastic foundations via a quasi-3D theory are developed using an analytical approach. This higher shear deformation theory (HSDT) is included the shear deformation theory and effect stretching that has five unknowns, which is even inferior to normal deformation theories found literature and other theories. The quasi-three-dimensional (quasi-3D) theory accounts for a parabolic distribution of the transverse shear deformation and satisfies the zero traction boundary conditions on the surfaces of the advanced composite plate without needing shear correction factors. The plates assumed to be rest on two-parameter elastic foundations, the Winkler parameter is supposed to be constant but the Pasternak parameter varies along the long side of the plate with three distributions (linear, parabolic and sinusoidal). The material properties of the advanced composite plates gradually vary through the thickness according to two distribution models (power law and Mori-Tanaka). Governing differential equations and associated boundary conditions for dynamics responses of the advanced composite plates are derived using the Hamilton principle and are solved by using an analytical solution of Navier's technique. The present results and validations of our modal with literature are presented that permitted to demonstrate the accuracy of the present quasi-3D theory to predict the effect of variables elastic foundation on dynamics responses of advanced composite plates.

Violence and Emotion in Yi Soonwon's The Face and Win Lyovarin's Three Worlds of Rat Ekathet (이순원의 「얼굴」과 윈 리어우와린의 「랏 엑까텟의 세 가지 세상」에 나타난 폭력과 감정)

  • CHOI, Nanoak
    • The Southeast Asian review
    • /
    • v.23 no.1
    • /
    • pp.169-194
    • /
    • 2013
  • A Korean writer, Yi Soonwon's The Face and a Thai writer, Win Lyovarin's Three Worlds of Rat Ekathet symbolize into literature the historical demonstration which occurred in Korea and Thailand. Comparing the characters in these two works, we come to the conclusion that the background in which people use violence strongly relates with their emotion. The character in The Face commit emotional violence in which receiving education and training and having jostled situation were sprouted as hostility. On the other hand, the characters in Three Worlds of Rat Ekathet show the difference in the sense that they feel a pleasant sensation when they use violence, intoxicated in the power of violence. One thing that two works have in common is that people committing a sin suffer from a guilty conscience and guilty fears when we see the way to treat them. It is how psychological punishment is made by their own. In The Face, the character suffers from psychological punishment in the fear that the other may be aware of his past record when we see the difference to deal with emotional violence. That who committed violence not to be able to open up honorably can never be free from the judgement of conscience out of the law and the sense of guilt continues for his life. However, emotional punishment made by a guilty conscience in Three Worlds of Rat Ekathet has the limited period if sinners make the process of purification which means not committing a fault again. The ultimate way of treating those who committed violence is to forgive them with love and is the process of purification to change violence into non-violence.

Assessment of porosity influence on dynamic characteristics of smart heterogeneous magneto-electro-elastic plates

  • Ebrahimi, Farzad;Jafari, Ali;Mahesh, Vinyas
    • Structural Engineering and Mechanics
    • /
    • v.72 no.1
    • /
    • pp.113-129
    • /
    • 2019
  • A four-variable shear deformation refined plate theory has been proposed for dynamic characteristics of smart plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials with various boundary conditions by using an analytical method. Magneto-electro-elastic properties of FGM plate are supposed to vary through the thickness direction and are estimated through the modified power-law rule in which the porosities with even and uneven type are approximated. Pores possibly occur inside functionally graded materials (FGMs) due the result of technical problems that lead to creation of micro-voids in these materials. The variation of pores along the thickness direction influences the mechanical properties. The governing differential equations and boundary conditions of embedded porous FGM plate under magneto-electrical field are derived through Hamilton's principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factors. An analytical solution procedure is used to achieve the natural frequencies of embedded porous FG plate supposed to magneto-electrical field with various boundary condition. A parametric study is led to carry out the effects of material graduation exponent, coefficient of porosity, magnetic potential, electric voltage, elastic foundation parameters, various boundary conditions and plate side-to-thickness ratio on natural frequencies of the porous MEE-FG plate. It is concluded that these parameters play significant roles on the dynamic behavior of porous MEE-FG plates. Presented numerical results can serve as benchmarks for future analyses of MEE-FG plates with porosity phases.

Effect of nonlinear elastic foundations on dynamic behavior of FG plates using four-unknown plate theory

  • Nebab, Mokhtar;Atmane, Hassen Ait;Bennai, Riadh;Tahar, Benabdallah
    • Earthquakes and Structures
    • /
    • v.17 no.5
    • /
    • pp.447-462
    • /
    • 2019
  • This present paper concerned with the analytic modelling for vibration of the functionally graded (FG) plates resting on non-variable and variable two parameter elastic foundation, based on two-dimensional elasticity using higher shear deformation theory. Our present theory has four unknown, which mean that have less than other higher order and lower theory, and we denote do not require the factor of correction like the first shear deformation theory. The indeterminate integral are introduced in the fields of displacement, it is allowed to reduce the number from five unknown to only four variables. The elastic foundations are assumed a classical model of Winkler-Pasternak with uniform distribution stiffness of the Winkler coefficient (kw), or it is with variables distribution coefficient (kw). The variable's stiffness of elastic foundation is supposed linear, parabolic and trigonometry along the length of functionally plate. The properties of the FG plates vary according to the thickness, following a simple distribution of the power law in terms of volume fractions of the constituents of the material. The equations of motions for natural frequency of the functionally graded plates resting on variables elastic foundation are derived using Hamilton principal. The government equations are resolved, with respect boundary condition for simply supported FG plate, employing Navier series solution. The extensive validation with other works found in the literature and our results are present in this work to demonstrate the efficient and accuracy of this analytic model to predict free vibration of FG plates, with and without the effect of variables elastic foundations.

The Relationship Analysis between Concentration and Settling Velocity of Suspended Cohesive Sediment (점착성 유사의 농도와 침강속도가 나타내는 관계 분석)

  • Son, Minwoo;Park, Byeoung Eun;Byun, Jisun
    • Proceedings of the Korea Water Resources Association Conference
    • /
    • 2018.05a
    • /
    • pp.285-285
    • /
    • 2018
  • 하천에서 부유사의 형태로 이송되는 점착성 유사는 입자 표면의 전자기적 점착력의 영향과 하천의 흐름 및 난류에 의하여 지속적인 응집과 파괴의 과정인 응집현상을 겪는다. 이러한 응집현상을 통해 플럭을 형성한 점착성 유사의 크기 및 밀도는 끊임없이 변화하며 침강속도 역시 변화한다. 점착성 유사의 이동을 예측하기 위해서는 유사의 부유에 직접적으로 관계하는 침강속도를 이해하는 것이 중요하며 많은 연구에서 점착성 유사의 농도와 침강속도의 관계를 그래프로 보여주고 있다. 일반적으로 그래프에서 침강속도는 처음에 농도가 증가할수록 증가하는 비례 관계를 보여주다가 농도가 어느 정도를 넘어 더 증가하게 되면 감소하여 반비례하는 모양을 그리고 있다. 또한 연구들은 농도와 침강속도 두 관계가 분명한 멱함수법칙(Power Law)을 가진다고 언급하고 있다. 그러나 이전의 연구에서는 그래프가 보여주는 두 관계의 분석이나 메커니즘에 대해 중점을 두고 논의된 바가 없다. 본 연구는 점착성 유사의 응집현상과 이동을 모의하는 1차원 연직 수치모형으로 수치 실험을 실시하고, 그 결과를 바탕으로 농도와 침강속도가 갖는 관계를 면밀히 분석한다. 플럭의 크기 및 농도는 유사의 부유를 결정하는 침강속도와 매우 밀접한 관련이 있는 특징이며 특히 플럭의 크기는 침강속도를 결정한다. 즉 플럭의 크기와 농도가 갖는 관계가 침강속도와 농도가 갖는 관계에 크게 관여할 것으로 예측된다. 앞서 언급한 연구들의 그래프에서 비례 관계를 갖는 구간은 일반적으로 수면과 가까우며 농도와 크기가 비례하는 경향을 보이며 반비례하는 구간은 농도가 크고 난류가 강한 하상부근으로 두 관계가 반비례하는 경향이 밝혀진 연구가 있다. 점착성 유사의 농도 및 플럭의 크기가 이러한 경향을 띠는 것은 하상부근에서는 난류 전단과 그에 따른 플럭의 파괴와 응집의 결과로 나타나는 응집현상과 관련이 있으며 이러한 결과들을 바탕으로 점착성 유사의 침강속도와 농도가 가지는 관계를 분석한다.

  • PDF

An efficient shear deformation theory for wave propagation of functionally graded material plates

  • Boukhari, Ahmed;Atmane, Hassen Ait;Tounsi, Abdelouahed;Adda Bedia, E.A.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
    • /
    • v.57 no.5
    • /
    • pp.837-859
    • /
    • 2016
  • An efficient shear deformation theory is developed for wave propagation analysis of an infinite functionally graded plate in the presence of thermal environments. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The thermal effects and temperature-dependent material properties are both taken into account. The temperature field is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton's principle and the physical neutral surface concept. There is no stretching.bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions and temperature on wave propagation of functionally graded plate are discussed in detail. It can be concluded that the present theory is not only accurate but also simple in predicting the wave propagation characteristics in the functionally graded plate. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect

  • Chaht, Fouzia Larbi;Kaci, Abdelhakim;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Beg, O. Anwar;Mahmoud, S.R.
    • Steel and Composite Structures
    • /
    • v.18 no.2
    • /
    • pp.425-442
    • /
    • 2015
  • This paper addresses theoretically the bending and buckling behaviors of size-dependent nanobeams made of functionally graded materials (FGMs) including the thickness stretching effect. The size-dependent FGM nanobeam is investigated on the basis of the nonlocal continuum model. 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 model 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 sinusoidal variation of all displacements through the thickness without using shear correction factor. The material properties of FGM nanobeams are assumed to vary through the thickness according to a power law. The governing equations and the related boundary conditions are derived using the principal of minimum total potential energy. A Navier-type solution is developed for simply-supported boundary conditions, and exact expressions are proposed for the deflections and the buckling load. The effects of nonlocal parameter, aspect ratio and various material compositions on the static and stability responses of the FGM nanobeam are discussed in detail. The study is relevant to nanotechnology deployment in for example aircraft structures.

Wind-excited stochastic vibration of long-span bridge considering wind field parameters during typhoon landfall

  • Ge, Yaojun;Zhao, Lin
    • Wind and Structures
    • /
    • v.19 no.4
    • /
    • pp.421-441
    • /
    • 2014
  • With the assistance of typhoon field data at aerial elevation level observed by meteorological satellites and wind velocity and direction records nearby the ground gathered in Guangzhou Weather Station between 1985 and 2001, some key wind field parameters under typhoon climate in Guangzhou region were calibrated based on Monte-Carlo stochastic algorithm and Meng's typhoon numerical model. By using Peak Over Threshold method (POT) and Generalized Pareto Distribution (GPD), Wind field characteristics during typhoons for various return periods in several typical engineering fields were predicted, showing that some distribution rules in relation to gradient height of atmosphere boundary layer, power-law component of wind profile, gust factor and extreme wind velocity at 1-3s time interval are obviously different from corresponding items in Chinese wind load Codes. In order to evaluate the influence of typhoon field parameters on long-span flexible bridges, 1:100 reduced-scale wind field of type B terrain was reillustrated under typhoon and normal conditions utilizing passive turbulence generators in TJ-3 wind tunnel, and wind-induced performance tests of aero-elastic model of long-span Guangzhou Xinguang arch bridge were carried out as well. Furthermore, aerodynamic admittance function about lattice cross section in mid-span arch lib under the condition of higher turbulence intensity of typhoon field was identified via using high-frequency force-measured balance. Based on identified aerodynamic admittance expressions, Wind-induced stochastic vibration of Xinguang arch bridge under typhoon and normal climates was calculated and compared, considering structural geometrical non-linearity, stochastic wind attack angle effects, etc. Thus, the aerodynamic response characteristics under typhoon and normal conditions can be illustrated and checked, which are of satisfactory response results for different oncoming wind velocities with resemblance to those wind tunnel testing data under the two types of climate modes.