• Title/Summary/Keyword: Size effect law

Search Result 164, Processing Time 0.027 seconds

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
    • /
    • v.89 no.3
    • /
    • pp.225-238
    • /
    • 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.

A Study on the Effectiveness to the Life Safety by Enlarging Smoke Vent Size and/or Sprinklered System (배연창 크기와 스프링클러 작동이 인명안전에 미치는 영향 연구)

  • Kim, Hak-Joong;Park, Yong-Hwan;Lim, Choe-Hyun;Kim, Bum-Kyu
    • Fire Science and Engineering
    • /
    • v.24 no.2
    • /
    • pp.133-138
    • /
    • 2010
  • Recently, evacuation safety of a resident of building become the major concern, because building has been higher and more complicated. Buildings in Korea should install the natural smoke venting or mechanical smoke exhaust equipment according to the building law. The smoke control is the most important to guarantee the evacuation safety. This study evaluate the influence to the height and temperature of smoke layer by enlarging smoke vent size and operating sprinkler system using CFAST (Version 6). Smoke venting size is larger, the effect to height and temperature of smoke layer is increased in below 5 MW fire. But, the correlation of these is decreased in above 10 MW fire. The case that opened smoke vent and sprinklered are applied, life safety criteria are satisfied regardless of fire size. After design the fire scenario according to the service and size of building. Install the smoke vent suitable for the fire size and verify that by experiment or simulation.

Dynamic modeling of nonlocal compositionally graded temperature-dependent beams

  • Ebrahimi, Farzad;Fardshad, Ramin Ebrahimi
    • Advances in aircraft and spacecraft science
    • /
    • v.5 no.1
    • /
    • pp.141-164
    • /
    • 2018
  • In this paper, the thermal effect on buckling and free vibration characteristics of functionally graded (FG) size-dependent Timoshenko nanobeams subjected to an in-plane thermal loading are investigated by presenting a Navier type solution for the first time. Material properties of FG nanobeam are supposed to vary continuously along the thickness according to the power-law form and the material properties are assumed to be temperature-dependent. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The nonlocal equations of motion are derived based on Timoshenko beam theory through Hamilton's principle and they are solved applying analytical solution. According to the numerical results, it is revealed that the proposed modeling can provide accurate frequency results of the FG nanobeams as compared to some cases in the literature. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as thermal effect, material distribution profile, small scale effects, aspect ratio and mode number on the critical buckling temperature and normalized natural frequencies of the temperature-dependent FG nanobeams in detail. It is explicitly shown that the thermal buckling and vibration behaviour of a FG nanobeams is significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of FG nanobeams.

Precautionary Principle for the Protection of Space Environment against Solar Electromagnetic Storm (우주전파재난과 우주법상의 사전주의 원칙에 관한 연구)

  • Shin, Hong-Kyun
    • The Korean Journal of Air & Space Law and Policy
    • /
    • v.26 no.1
    • /
    • pp.241-269
    • /
    • 2011
  • Solar flare and storm may give an adverse effect upon electromagnetic environment around the Earth, so that various kinds of satellite cease to normally function. This kind of space storm disaster is characterized by the uncertainty about when and what size. Recently the UN has been paying attention to this plausible disaster. Particularly the COPUOS has taken the view that this disaster would threaten the sustainable space environment. The precautionary principle, rooted and excercised in the environment protection filed, has been adopted in the case of disaster with uncertainty. The reports and opinions given by the expert and representatives of the member States have stated that the precautionary principle should be adopted for the purpose of dealing with this disaster. On the other hand, it is advanced that the principle has been already included in the space law principle enshrined in the 1967 Space Treaty. The Treaty has adopted the freedom of navigation and use of the outer space for the interest of all States as the basic principles. Sustainable environment is necessary for implementing the principle. Therefore, the rules for the protection of sustainable space environment should be based upon the space law principle.

  • PDF

Size-dependent analysis of functionally graded ultra-thin films

  • Shaat, M.;Mahmoud, F.F.;Alshorbagy, A.E.;Alieldin, S.S.;Meletis, E.I.
    • Structural Engineering and Mechanics
    • /
    • v.44 no.4
    • /
    • pp.431-448
    • /
    • 2012
  • In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.

Effect of Cementite Precipitation on Carburizing Behavior of Vacuum Carburized AISI 4115 Steel (진공침탄에 의한 AISI 4115강의 침탄 거동에 미치는 세멘타이트 석출의 영향)

  • Gi-Hoon Kwon;Hyunjun Park;Yoon-Ho Son;Young-Kook Lee;Kyoungil Moon
    • Journal of the Korean Society for Heat Treatment
    • /
    • v.36 no.6
    • /
    • pp.402-411
    • /
    • 2023
  • In order to examine the effect of cementite precipitated on the steel surface on the carburizing rate, the carburizing process was carried out at various boost times to measure the mass gain and carbon flux, phase analysis and carbon concentration analysis were performed on the surface of the carburized specimen. In the case of the only boost type, the longer the boost time, the more the mass gain by the diffused carbon follows the parabolic law and tends to increase. In particular, as the boost time increased, the depth of cementite precipitation and the average size of cementite on the steel surface increased. At a boost time of 7 min, the fraction of cementite precipitated on the surface is 7.32 vol.%, and the carburizing rate of carbon into the surface (surface-carbon flux) is about 17.4% compared to the calculated value because the area of the chemical (catalyst) where the carburization reaction takes place is reduced. The measured carbon concentration profile of the carburized specimen tended to be generally lower than the carbon concentration calculated by the model without considering precipitated cementite. On the other hand, in the pulse type, the mass gain by the diffused carbon increased according to the boost time following a linear law. At a boost time of 7 min, the fraction of cementite precipitated on the surface was 3.62 vol.%, and the surface-carbon flux decreased by about 4.1% compared to the calculated value. As a result, a model for predicting the actual carbon flux was presented by applying the carburization resistace coefficient derived from the surface cementite fraction as a variable.

A Study on the Operational Characteristic with the Scale Effect of the Cross-Flow Fan (치수효과를 고려한 횡류홴의 작동특성연구)

  • Kim, H.S.;Kim, Youn J.
    • The KSFM Journal of Fluid Machinery
    • /
    • v.8 no.3 s.30
    • /
    • pp.26-32
    • /
    • 2005
  • One of noticeable features in the cross flow fan is that a working fluid passes through impeller blade twice without distinction between the inlet and exit angles. Also, it does produce higher circumferential velocity than other types of blade at the same flow rate in accordance with the application of the forward curved shape. However, a design theory for the cross-flow fall has not yet been formed owing to an eccentric vortex, which is the remarkable characteristics, occurred in a cross-flow fan. Furthermore, the eccentric vortex, which is difficult to control the size and position, is the important cause of performance decrease. In this study, experiments we carried out to estimate the similarity of the cross-flow fan with various scales and rotational velocity changes. Pressure coefficients to flow coefficients with various scales of the cross-flow fan are plotted to the application of the general similarity law of the turbomachinery in the cross-flow fan with Archimedes spiral, which is the important factor having an effect on it.

Three dimensional free vibration analysis of functionally graded nano cylindrical shell considering thickness stretching effect

  • Dehsaraji, Maryam Lori;Arefi, Mohammad;Loghman, Abbas
    • Steel and Composite Structures
    • /
    • v.34 no.5
    • /
    • pp.657-670
    • /
    • 2020
  • In this paper, vibration analysis of functionally graded nanoshell is studied based on the sinusoidal higher-order shear and normal deformation theory to account thickness stretching effect. To account size-dependency, Eringen nonlocal elasticity theory is used. For more accurate modeling the problem and corresponding numerical results, sinusoidal higher-order shear and normal deformation theory including out of plane normal strain is employed in this paper. The radial displacement is decomposed into three terms to show variation along the thickness direction. Governing differential equations of motion are derived using Hamilton's principle. It is assumed that the cylindrical shell is made of an arbitrary composition of metal and ceramic in which the local material properties are measured based on power law distribution. To justify trueness and necessity of this work, a comprehensive comparison with some lower order and lower dimension works and also some 3D works is presented. After presentation of comparative study, full numerical results are presented in terms of significant parameters of the problem such as small scale parameter, length to radius ratio, thickness to radius ratio, and number of modes.

Electrorheological Properties of Phosphoric Ester Cellulose ER Fluids on the Elevated Temperature (온도 변화에 따른 인산 에스테르 셀룰로오스 ER 유체의 전기유변학적 특성)

  • 안병길;오경근;최웅수;권오관
    • Tribology and Lubricants
    • /
    • v.15 no.1
    • /
    • pp.8-16
    • /
    • 1999
  • The electrorheological (ER) behavior of suspensions in silicone oil of phosphoric ester cellulose powder (average particle size : 18$\pm$1 ${\mu}{\textrm}{m}$) was investigated on the elevated temperature up to 10$0^{\circ}C$. For development of anhydrous ER fluids using at wide temperature range, it should be researched to how the effect of temperature on the ER activities. As a first step, the anhydrous ER suspensions mixing with the phosphoric ester cellulose particles which were made from the phosphoric ester reaction of cellulose were measured. As increasing the temperature, not only the analysis of electrical properties such as dielectric constant current density and electrical conductivity but also the rheological properties of ER fluids were studied. From the experimental results, the temperature had a large influence to the ER properties of anhydrous ER fluids. The current density, conductivity and elecoorheological effect ($\tau$$_{A}$$\tau$$_{0}$) of phosphoric ester cellulose ER fluids were proportional to the temperature with power law. And the shear stress of them was closely related with the square of dielectric constant mismatch parameter ($\beta$$^2$) under constant shear rate and electric field.d.

The Effect of Tax Planning on Firm Value: A Case Study in Vietnam

  • VU, Thu Anh Thi;LE, Vinh Hoang
    • The Journal of Asian Finance, Economics and Business
    • /
    • v.8 no.2
    • /
    • pp.973-979
    • /
    • 2021
  • The purpose of this paper is to examine the effect of tax planning on firm value of the non-financial firms listed in Vietnam, moderated by the state ownership. In this paper, effective tax rate is used to measure the tax planning; the state ownership is measured by the percentage of state equity holdings, and the firm value is measured by Tobin's Q. The data research is collected from audited financial statements and other statistical documents of 513 firms in the period of 2015-2019, provided by The FiinGroup (Vietnam). According to that, this paper uses quantitative research methods for the panel data. Regression analysis with GLS shows that the tax planning has a negative effect on firm value. In more detail, the association is not a variable in its direction when state ownership takes the role of a moderator. That means, in the perspective of principal-principal conflict, government should improve institutional environment to prevent firms form breaking the rules, especially accounting standards and principles. Assets allocation in tangible assets or making use of large size advantage should be taken into account. In the long run, firms should concentrate on the deployment of resources and the experience of knowledgeable practitioners to produce effective results.