• Title/Summary/Keyword: Poisson′s Ratio

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Creep Behavior of Reinforced Clayey Soil (보강 점성토의 크리이프 특성(지반공학))

  • 이상호;최재원;차현주
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2000.10a
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    • pp.484-489
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    • 2000
  • This study was performed to examine the characteristic of creep behavior by reinforced clayey soil. So, it was carried out measurement of compressive strain and poisson's ratio by the reinforced soil mixtures. At each specimen was made by added calcium carbonate and 19mm length monofilaments into soil at designated ratio, and it was measured during the age of 30 days right after manufacturing the specimens. Because monofilaments controled increase of friction and dry shrinkage of soil into soil, compressive strain of monfilments reinforced soil with mixing rate of 0.3% is low value. And Because void was formed by compressive, vertical strain and horizontal strain of calcium carbonate reinforced soil with rate of 9% is high value.

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Free vibration analysis of rotating cantilever plates using the p-version of the finite element method

  • Hamza-Cherif, Sidi Mohammed
    • Structural Engineering and Mechanics
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    • v.22 no.2
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    • pp.151-167
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    • 2006
  • A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

Analysis of fiber-reinforced elastomeric isolators under pure "warping"

  • Pinarbasi, Seval;Mengi, Yalcin
    • Structural Engineering and Mechanics
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    • v.61 no.1
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    • pp.31-47
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    • 2017
  • As a relatively new type of multi-layered rubber-based seismic isolators, fiber-reinforced elastomeric isolators (FREIs) are composed of several thin rubber layers reinforced with flexible fiber sheets. Limited analytical studies in literature have pointed out that "warping" (distortion) of reinforcing sheets has significant influence on buckling behavior of FREIs. However, none of these studies, to the best knowledge of authors, has investigated their warping behavior, thoroughly. This study aims to investigate, in detail, the warping behavior of strip-shaped FREIs by deriving advanced analytical solutions without utilizing the commonly used "pressure", incompressibility, inextensibility and the "linear axial displacement variation through the thickness" assumptions. Studies show that the warping behavior of FREIs mainly depends on the (i) aspect ratio (shape factor) of the interior elastomer layers, (ii) Poisson's ratio of the elastomer and (iii) extensibility of the fiber sheets. The basic assumptions of the "pressure" method as well as the commonly used incompressibility assumption are valid only for isolators with relatively large shape factors, strictly incompressible elastomeric material and nearly inextensible fiber reinforcement.

Detection of Changes of Mean Nonconformities per Unit in the u Control Chart (u 관리도에서 단위당결점수 변화 탐지)

  • Chang, Kyung;Yang, Moon-Hee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.205-209
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    • 1997
  • One objective of the u control chart is to detect changes of mean nonconformities per unit occurred owing to various causes. This paper shows the detection probability using the Poisson distribution for various parameters, that is, subsample size n, mean nonconformities per unit $u_o$, and $u_o's$ change ratio k. We find that (1) as $u_o$ increases the smaller n is required for the same detection probability and the same change ratio; (2) as k gets away from 1 the smaller n is required; (3) the bigger n is required for the bigger detection probability. Several tables are given from our findings and are hoped to be used as guidelines for u chart users.

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리엔트런트 패널의 전면볼록성에 대한 정량적 해석

  • Heo, Jeong-Min;Lee, Ji-Hwan
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.228-233
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    • 2016
  • Auxetic material is a material which has negative Poisson's ratio(NPR). Auxetic material shows some distinctive property like high energy absorbing property and high shear modulus. Among these, synclastic curvature is very interesting characteristic. When synclastic-curvature-material bends, it changes its shape like dome, contrary to non-auxetic material which changes its shape like saddle(anticlastic). This distinctive property could make it easy to manufacture curved structure like nose cone or wing panel in aerospace engineering. In this study, we studied a quantitative analysis about synclastic curvature of re-entrant panel with finite element model. We suggested a concept 'Degree of Synclasticity(DOS)', which means a ratio of curvature of load-direction and load-orthogonal direction. We studied the variation of DOS with two factor, unit cell inner angle(${\theta}$) and load position angle(${\phi}$). DOS decreases as ${\theta}$ increases because the unit cell goes out of auxetic-shape. As ${\phi}$ varies, DOS changes in a large range. So proper optimization of ${\phi}$ would be needed for application.

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3-Dimensional Thermoforming Computer Simulation Considering Orthotropic Property of Film

  • Son, Hyun-Myung;Yoon, Seok-Ho;Lee, Ki-Ho;Lyu, Min-Young
    • Elastomers and Composites
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    • v.57 no.3
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    • pp.114-120
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    • 2022
  • The tensile properties of the extruded PC film were measured in the extrusion direction and perpendicular to the extrusion direction. The measured properties were the elastic modulus and Poisson's ratio at the glass transition temperature of PC. The measured orthotropic properties of the film were used for the computer simulation of vacuum forming. In this simulation, three mold shapes were tested: dome, trapezoid, and cubic, and the vacuum was applied between the mold surface and the heated film. The stress, strain, thickness, and stretch ratio distributions of the film in different mold shapes were observed and compared. The thermoforming simulation method used in this study and the obtained results, considering the determined orthotropic properties, can be applied to the thermoforming of various three-dimensional shapes.

Dynamic of behavior for imperfect FGM plates resting on elastic foundation containing various distribution rates of porosity: Analysis and modeling

  • Kablia, Aicha;Benferhat, Rabia;Tahar, Hassaine Daouadji
    • Coupled systems mechanics
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    • v.11 no.5
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    • pp.389-409
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    • 2022
  • During the manufacture of FGM plates, defects such as porosities can appear. Those can change the entire behavior of these plates. This paper aims to investigate the free vibration characteristics of porous functionally graded (FG) plates resting on elastic foundations. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power-law formulation, and the Poisson ratio is held constant. Different types of porosity distribution rates are considered. To examine the accuracy of the present formulation, several comparison studies are investigated. Effects of variation of porosity distribution rate, foundation parameter, power-law index and thickness ratio on the fundamental frequency of plates have been investigated.

Free vibration and buckling analyses of functionally graded annular thin sector plate in-plane loads using GDQM

  • Mohammadimehr, Mehdi;Afshari, Hasan;Salemi, M.;Torabi, K.;Mehrabi, Mojtaba
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.525-544
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    • 2019
  • In the present study, buckling and free vibration analyses of annular thin sector plate made of functionally graded materials (FGMs) resting on visco-elastic Pasternak foundation, subjected to external radial, circumferential and shear in-plane loads is investigated. Material properties are assumed to vary along the thickness according to an power law with Poisson's ratio held constant. First, based on the classical plate theory (CPT), the governing equation of motion is derived using Hamilton's principle and then is solved using the generalized differential quadrature method (GDQM). Numerical results are compared to those available in the literature to validate the convergence and accuracy of the present approach. Finally, the effects of power-law exponent, ratio of radii, thickness of the plate, sector angle, and coefficients of foundation on the fundamental and higher natural frequencies of transverse vibration and critical buckling loads are considered for various boundary conditions. Also, vibration and buckling mode shapes of functionally graded (FG) sector plate have been shown in this research. One of the important obtained results from this work show that ratio of the frequency of FG annular sector plate to the corresponding values of homogeneous plate are independent from boundary conditions and frequency number.

Tensile Tests for Copper Thin Foils by Using DIC Method (DIC 법을 이용한 구리박막의 인장시험)

  • Kim, Chung Youb;Song, Ji Ho;Park, Kyung Jo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.12
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    • pp.1529-1534
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    • 2012
  • In this study, tensile tests for 12-${\mu}m$-thick copper thin foils were performed by using the DIC method. The DIC method provided precise stress-strain curves for thin film materials, and a commercial inkjet printer can be simply and effectively used for printing speckle patterns on the specimen of Cu thin films whose surface contrast is too low to apply the DIC method. The mechanical properties of Cu thin foils obtained in this study are as follows: elastic modulus E = 89.2 GPa, 0.2% offset yield stress $S_{0.2%}$= 232.8 MPa, tensile strength $S_u$= 319.2 MPa, elongation at fracture ${\varepsilon}_f$=16.8 %, and Poisson's ratio ${\nu}$= 0.34.

Dynamic stability analysis of a rotary GPLRC disk surrounded by viscoelastic foundation

  • Liang, Xiujuan;Ji, Haixu
    • Geomechanics and Engineering
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    • v.24 no.3
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    • pp.267-280
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    • 2021
  • The research presented in this paper deals with dynamic stability analysis of the graphene nanoplatelets (GPLs) reinforced composite spinning disk. The presented small-scaled structure is simulated as a disk covered by viscoelastic substrate which is two-parametric. The centrifugal and Coriolis impacts due to the spinning are taken into account. The stresses and strains would be obtained using the first-order-shear-deformable-theory (FSDT). For Poisson ratio, as well as various amounts of mass densities, the mixture rule is employed, while a modified Halpin-Tsai model is inserted for achieving the elasticity module. The structure's boundary conditions (BCs) are obtained employing GPLs reinforced composite (GPLRC) spinning disk's governing equations applying principle of Hamilton which is based on minimum energy and ultimately have been solved employing numerical approach called generalized-differential quadrature-method (GDQM). Spinning disk's dynamic properties with different boundary conditions (BCs) are explained due to the curves drawn by Matlab software. Also, the simply-supported boundary conditions is applied to edges 𝜃=𝜋/2, and 𝜃=3𝜋/2, while, cantilever, respectively, is analyzed in R=Ri, and R0. The final results reveal that the GPLs' weight fraction, viscoelastic substrate, various GPLs' pattern, and rotational velocity have a dramatic influence on the amplitude, and vibration behavior of a GPLRC rotating cantilevered disk. As an applicable result in related industries, the spinning velocity impact on the frequency is more effective in the higher radius ratio's amounts.