• Title/Summary/Keyword: inhomogeneous

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Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory

  • Zenkour, A.M.;Aljadani, M.H.
    • Advances in aircraft and spacecraft science
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    • v.5 no.6
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    • pp.615-632
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    • 2018
  • Mechanical buckling of a rectangular functionally graded plate is obtained in the current paper using a refined higher-order shear and normal deformation theory. The impact of transverse normal strain is considered. The material properties are microscopically inhomogeneous and vary continuously based on a power law form in spatial direction. Navier's procedure is applied to examine the mechanical buckling behavior of a simply supported FG plate. The mechanical critical buckling subjected to uniaxial and biaxial compression loads are determined. The numerical investigation are compared with the numerical results in the literature. The influences of geometric parameters, power law index and different loading conditions on the critical buckling are studied.

Effect of Seeding on Microstructural Development of Silicon Nitride Ceramics (질화규소 세라믹스의 미세조직 형성에 미치는 Seed 첨가의 영향)

  • 이창주
    • Journal of Powder Materials
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    • v.5 no.2
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    • pp.133-138
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    • 1998
  • The effect of $\beta$-$Si_3N_4$ seeding on microstructural development of silicon nitride based materials has been investigated. In particular, to observe more distinctly the abnormal grain growth in pressureless sintering, fine $\alpha$-$Si_3N_4$(mean particle size: 0.26 ${\mu}m$) powder classified by sedimentation method was used. It was possible to prepare silicon nitride with abnormally grown grains under low nitrogen pressure of 1 atm thanks to the heterogeneous nucleation on $Si_3N_4$ seed particles. The size and morphology of silicon nitride grains were strongly influenced by the presence of $\beta$-$Si_3N_4$ seed and overall chemical composition. For specimens with initially low $\beta$-content, the large grains grew without a significant impingement by other large grains. On the contrary, for specimens with initially high $\beta$-content, steric hindrance was effective. The resulting microstructure was less inhomogeneous and characterized by unimodal grain size distribution.

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The Statistical Mechanics of the Rubber Elasticity which is Affected by the Entanglement Effects (고무탄성에 영향을 미치는 사슬 얽힘 효과에 대한 통계역학적 고찰)

  • Park, Sang-Bo;Lee, Tae-Hong
    • Journal of the Korean Graphic Arts Communication Society
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    • v.21 no.1
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    • pp.45-58
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    • 2003
  • The entanglement effects were described by means of holes through which the network chain must pass. Inhomogeneous entanglement effects were related to the hole distributions on the surface and in the center of spheres in the network chains. It was assumed that holes were subjected to the affiance deformation and the network chains were gaussian distribution. The results of this model calculation was compared with the compression- extension experimental data of PDMS (polydimethyl siloxane) rubber, and then hole's relative position was known to be in the center of two adjacent holes.

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THE EXPONENTIAL GROWTH AND DECAY PROPERTIES FOR SOLUTIONS TO ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS

  • Wang, Lidan;Wang, Lihe;Zhou, Chunqin
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1573-1590
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    • 2020
  • In this paper, we classify all solutions bounded from below to uniformly elliptic equations of second order in the form of Lu(x) = aij(x)Diju(x) + bi(x)Diu(x) + c(x)u(x) = f(x) or Lu(x) = Di(aij(x)Dju(x)) + bi(x)Diu(x) + c(x)u(x) = f(x) in unbounded cylinders. After establishing that the Aleksandrov maximum principle and boundary Harnack inequality hold for bounded solutions, we show that all solutions bounded from below are linear combinations of solutions, which are sums of two special solutions that exponential growth at one end and exponential decay at the another end, and a bounded solution that corresponds to the inhomogeneous term f of the equation.

Analysis on IBEM for consideration on reinforced concrete slab resistance

  • Kyung, Je-Woon;Tae, Sung-Ho;Lee, Han-Seung;Lee, Sung-Bok
    • Computers and Concrete
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    • v.5 no.6
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    • pp.545-558
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    • 2008
  • The corrosion of RC structures demonstrates very complicated forms of deterioration intermingled together but all pointing to a decrease in the durability of RC structures due to the corrosion of reinforcing bars. Until now, nondestructive techniques, such as half-cell potential and polarization resistance, have been widely available in the world. The former provides information on the probability of corrosion while the latter is associated with information concerning corrosion rates. Inversion by the boundary element method (IBEM) was developed for considering concrete resistivity. The applicability of the procedure was examined through a numerical analysis and electrolytic tests for RC slabs. A distribution in such concrete resistivity is relatively inhomogeneous including cracks on the surface of slabs. Regarding cracks in concrete, the relative coefficient of concrete resistance was introduced to perform its analysis. Further, the procedure will be developed to identify the corroded region visually using 3-D VRML.

Response of a rocksalt crystal to electromagnetic wave modeled by a multiscale field theory

  • Lei, Yajie;Lee, James D.;Zeng, Xiaowei
    • Interaction and multiscale mechanics
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    • v.1 no.4
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    • pp.467-476
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    • 2008
  • In this work, a nano-size rocksalt crystal (magnesium oxide) is considered as a continuous collection of unit cells, while each unit cell consists of discrete atoms; and modeled by a multiscale concurrent atomic/continuum field theory. The response of the crystal to an electromagnetic (EM) wave is studied. Finite element analysis is performed by solving the governing equations of the multiscale theory. Due to the applied EM field, the inhomogeneous motions of discrete atoms in the polarizable crystal give rise to the change of microstructure and the polarization wave. The relation between the natural frequency of this system and the driving frequency of the applied EM field is found and discussed.

Vibration analysis of FG nanoplates with nanovoids on viscoelastic substrate under hygro-thermo-mechanical loading using nonlocal strain gradient theory

  • Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • v.64 no.6
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    • pp.683-693
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    • 2017
  • According to a generalized nonlocal strain gradient theory (NSGT), dynamic modeling and free vibrational analysis of nanoporous inhomogeneous nanoplates is presented. The present model incorporates two scale coefficients to examine vibration behavior of nanoplates much accurately. Porosity-dependent material properties of the nanoplate are defined via a modified power-law function. The nanoplate is resting on a viscoelastic substrate and is subjected to hygro-thermal environment and in-plane linearly varying mechanical loads. The governing equations and related classical and non-classical boundary conditions are derived based on Hamilton's principle. These equations are solved for hinged nanoplates via Galerkin's method. Obtained results show the importance of hygro-thermal loading, viscoelastic medium, in-plane bending load, gradient index, nonlocal parameter, strain gradient parameter and porosities on vibrational characteristics of size-dependent FG nanoplates.

Residual stress measurement using acoustic microscope (초음파현미경을 이용한 잔류 응력 측정)

  • Kim, Hyun;Ko, Dea-sik;Jun, Kye-suk
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06e
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    • pp.259-262
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    • 1998
  • In this paper, we have studied measurement technique for inhomogeneous residual stress using acoustic microscopy with quadrature detector. In experiment, aluminum tensile specimen with the flaw has been made and loaded by Instrone. A spherical typed acoustic transducer of center frequency 5MHz has been used for sending a longitudinal acoustic wave into a stressed specimen. It has been shown in experimental results that the phase has largely changed around the flaw that residual stress has been largely distributed and acoustic microscopy has been used in the field of residual stress measurement.

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Intraventricular Glioblastoma Multiforme with Previous History of Intracerebral Hemorrhage : A Case Report

  • Kim, Young-Jin;Lee, Sang-Koo;Cho, Maeng-Ki;Kim, Young-Joon
    • Journal of Korean Neurosurgical Society
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    • v.44 no.6
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    • pp.405-408
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    • 2008
  • GBM is the most common primary brain tumor, but intraventricular GBM is rare and only few cases have been reported in the literature. The authors report a case of 64-year-old man who had a remote history of previous periventricular intracerebral hemorrhage. Brain computed tomography (CT) and magnetic resonance (MR) imaging showed an intraventricular lesion with inhomogeneous enhancement, infiltrative borders and necrotic cyst, and obstructive hydrocephalus. The patient underwent surgical removal through transcortical route via the bottom of previous hemorrhage site and the final pathologic diagnosis was GBM. We present a rare case of an intraventricular GBM with detailed clinical course, radiological findings, and pathological findings, and the possible origin of this lesion is discussed.

Experimental and Numerical Study on the Gas Mixing and Reaction in the Freeboard of a Fluidized Bed Incinerator for Sludge Treatment (슬러지 유동층 소각로의 프리보드 내 가스 혼합 및 반응 특성에 대한 실험 및 해석적 연구)

  • Kim, Young-Min;Shin, Dong-Hoon;Hwang, Seung-Sik
    • Journal of the Korean Society of Combustion
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    • v.16 no.4
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    • pp.8-15
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    • 2011
  • The present study investigates the combustion phenomena in a sludge incinerator using experimental and numerical method. The temperature and gas concentration were measured at 33 points during operation of the incinerator in order to assess the mixing and combustion characteristics. Numerical simulation was also carried out using a commercial CFD code. Simplified inlet conditions were introduced in oder to predict the bulk solid combustion and the diffusion of the volatile matter released by pyrolysis of sludge. The experimental results showed that the combustion process is extremely inhomogeneous. Large variations were observed in the temperature and gas concentrations in the freeboard of the incinerator due to poor mixing performance between the air and the combustibles, which is caused by massive and bulk generation of volatile matter by fast pyrolysis of sludge particles. The boundary condition of the CFD simulation was found effective in predicting the poor mixing and combustion performance of the reactor.