• Title/Summary/Keyword: Ratio of critical thickness

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An efficient and simple four variable refined plate theory for buckling analysis of functionally graded plates

  • Bellifa, Hichem;Bakora, Ahmed;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.3
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    • pp.257-270
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    • 2017
  • In this article, an efficient and simple refined theory is proposed for buckling analysis of functionally graded plates by using a new displacement field which includes undetermined integral variables. This theory contains only four unknowns, with is even less than the first shear deformation theory (FSDT). Governing equations are obtained from the principle of virtual works. The closed-form solutions of rectangular plates are determined. Comparison studies are carried out to check the validity of obtained results. The influences of loading conditions and variations of power of functionally graded material, modulus ratio, aspect ratio, and thickness ratio on the critical buckling load of functionally graded plates are examined and discussed.

Estimation of Punching Shear Strength for Ultra High Performance Concrete Thin Slab (강섬유 보강 초고성능 콘크리트 슬래브의 뚫림 전단 성능 평가)

  • Park, Ji-Hyun;Hong, Sung-gul
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.2
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    • pp.95-103
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    • 2015
  • UHPC(Ultra High Performance Concrete) is used widely with its remarkable performance, such as strength, ductility and durability. Since the fibers in the UHPC can control the tensile crack, the punching shear capacity of UHPC is higher than that of the conventional concrete. In this paper, seven slabs with different thickness and fiber volume ratio were tested. The ultimate punching shear strength was increased with the fiber volume ratio up to 1%. The shear capacity of specimens with the fiber content 1% and 1.5% do not have big differences. The thicker slab has higher punching shear strength and lower deformation capacity. The critical sections of punching shear failure were similar regardless of the fiber volume ratio, but it were larger in thicker slab.

Impact of aperture-thickness on the real-time imaging characteristics of coded-aperture gamma cameras

  • Park, Seoryeong;Boo, Jiwhan;Hammig, Mark;Jeong, Manhee
    • Nuclear Engineering and Technology
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    • v.53 no.4
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    • pp.1266-1276
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    • 2021
  • The mask parameters of a coded aperture are critical design features when optimizing the performance of a gamma-ray camera. In this paper, experiments and Monte Carlo simulations were performed to derive the minimum detectable activity (MDA) when one seeks a real-time imaging capability. First, the impact of the thickness of the modified uniformly redundant array (MURA) mask on the image quality is quantified, and the imaging of point, line, and surface radiation sources is demonstrated using both cross-correlation (CC) and maximum likelihood expectation maximization (MLEM) methods. Second, the minimum detectable activity is also derived for real-time imaging by altering the factors used in the image quality assessment, consisting of the peak-to-noise ratio (PSNR), the normalized mean square error (NMSE), the spatial resolution (full width at half maximum; FWHM), and the structural similarity (SSIM), all evaluated as a function of energy and mask thickness. Sufficiently sharp images were reconstructed when the mask thickness was approximately 2 cm for a source energy between 30 keV and 1.5 MeV and the minimum detectable activity for real-time imaging was 23.7 MBq at 1 m distance for a 1 s collection time.

Critical buckling analyses of nonlinear FG-CNT reinforced nano-composite beam

  • Zerrouki, Rachid;Karas, Abdelkader;Zidour, Mohamed
    • Advances in nano research
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    • v.9 no.3
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    • pp.211-220
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    • 2020
  • This paper investigates the effect of linear and non-linear distribution of carbon nanotube volume fraction in the FG-CNTRC beams on the critical buckling by using higher-order shear deformation theories. Here, the material properties of the CNTRC beams are assumed to be graded in the thickness direction according to a new exponential power law distribution in terms of the carbon nanotube volume fractions. The single-walled carbon nanotube is aligned and distributed in the polymeric matrix with different patterns of reinforcement; the material properties of the CNTRC beams are described by using the rule of mixture. The governing equations are derived through using Hamilton's principle. The Navier solution method is used under the specified boundary conditions for simply supported CNTRC beams. The mathematical models provided in this work are numerically validated by comparison with some available results. New results of critical buckling with the non-linear distribution of CNT volume fraction in different patterns are presented and discussed in detail, and compared with the linear distribution. Several aspects of beam types, CNT volume fraction, exponent degree (n), aspect ratio, etc., are taken into this investigation. It is revealed that the influences of non-linearity distribution in the beam play an important role to improve the mechanical properties, especially in buckling behavior. The results show that the X-Beam configuration is the strongest among all different types of CNTRC beams in supporting the buckling loads.

A study of Improvement of Stiffness for Plastic PET bottle with Different Geometries and Numbers of Rib (리브 형상 및 개수에 따른 사각플라스틱 페트병의 강성보강에 관한 연구)

  • Young-Hoon Lee;Bum-Jin Park;Eui-Chul Jung;Jung-Gil Oh;Seok-Guwan Hong
    • Design & Manufacturing
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    • v.17 no.4
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    • pp.33-41
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    • 2023
  • Excessive use of plastic bottles contributes to a significant environmental issue due to the high volume of plastic waste generated. To address this, efforts are needed to reduce the weight of plastic bottles. However, indiscriminate weight reduction may compromise the essential rigidity required for plastic bottles. Extensive research on rib shape for pressure vessels are exists, but there is a few research of rib shapes to enhance the stiffness of plastic bottles. The following results were obtained from the analyses conducted in this study. 1) Among the rib cross-sections of square, trapezoid, and triangle, the buckling critical load of PET bottles with square-shaped ribs is improved by about 14% compared to the buckling critical load of PET bottles without ribs. 2) The buckling critical load is improved by about 18% when a square-shaped rib with an aspect ratio of 0.2 is applied, compared to the buckling critical load of the bottle without the rib. 3) When longitudinal and transverse square ribs were applied to the axial direction of the PET bottle, the buckling critical load was improved by about 32% and 58% compared to the buckling critical load of the PET bottle without ribs, respectively, indicating that applying longitudinal ribs is effective in reinforcing the stiffness of PET bottles. 4) When 14 transverse ribs were applied, the maximum improvement was about 48% compared to the buckling critical load of the plastic bottle without ribs. 5) When 3 longitudinal ribs were applied on each side, the maximum improvement was about 76% compared to the buckling critical load of the bottle without ribs. Therefore, it was concluded that for effective stiffness reinforcement of a 500ml square bottle with a thickness of 0.5mm, 3 square-shaped ribs with an aspect ratio of 0.2 should be applied in the longitudinal direction relative to the axial direction of the bottle.

Bending and buckling of a rectangular porous plate

  • Magnucki, K.;Malinowski, M.;Kasprzak, J.
    • Steel and Composite Structures
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    • v.6 no.4
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    • pp.319-333
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    • 2006
  • A rectangular plate made of a porous material is the subject of the work. Its mechanical properties vary continuously on the thickness of a plate. A mathematical model of this plate, which bases on nonlinear displacement functions taking into account shearing deformations, is presented. The assumed displacement field, linear geometrical and physical relationships permit to describe the total potential energy of a plate. Using the principle of stationarity of the total potential energy the set of five equilibrium equations for transversely and in-plane loaded plates is obtained. The derived equations are used for solving a problem of a bending simply supported plate loaded with transverse pressure. Moreover, the critical load of a bi-axially in-plane compressed plate is found. In both cases influence of parameters on obtained solutions such as a porosity coefficient or thickness ratio is analysed. In order to compare analytical results a finite element model of a porous plate is built using system ANSYS. Obtained numerical results are in agreement with analytical ones.

Evaluation of the Electrical Resistance between ITO/black interlayer/Bus electrodes in a Plasma Display Panel (플라스마 디스플레이 패널에서 ITO/black interlayer/Bus 전극 간의 전기저항 평가)

  • Moon, Cheol Hee
    • Korean Journal of Metals and Materials
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    • v.46 no.2
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    • pp.97-104
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    • 2008
  • Black interlayer was introduced into between ITO and Bus electrodes to enhance a bright room contrast ratio of a plasma display panel. To measure the electrical resistance of the black interlayer, we designed two test patterns, type I and type II, of which type II pattern was successful. Using type II test pattern, the electrical resistance of the black interlayer was measured to be $300{\Omega}$ for $2{\mu}m$ thickness case and infinitely high for 4, $6{\mu}m$ thickness. This result shows that electrical resistance of the black interlayer in the ITO/black interlayer/Bus electrodes structure is a critical parameter which determines the electrical characteristics of the PDP.

P-${\Delta}$ Effects on the Reliability of Offshore Platforms

  • Leon, David-De;Dante Campos
    • Computational Structural Engineering : An International Journal
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    • v.3 no.1
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    • pp.31-37
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    • 2003
  • A typical marine platform in the Bay of Campeche is studied from the standpoint of structural reliability, and several characteristics of its deck such as slenderness and diameter/thickness ratios of the legs and actual degree of correlation between some variables are taken into account. The global and local buckling capacities of the deck legs are compared and the correlation coefficient between the critical axial load and the critical moment is assessed in order to validate its influence on the structural reliability. In addition, the influence of the vertical load, and its uncertainty, on the variance of the decks capacity, and latter on, on the platform's failure probability is assessed. The results presented may be used in future studies to further extend and upgrade the first version of the Reference Norm (PEMEX, 2000) and, in the longer term, to improve the current practice in the Design and Requalification of Offshore Marine Platforms in the Bay of Campeche.

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Thermal buckling and stability of laminated plates under non uniform temperature distribution

  • Widad Ibraheem Majeed;Ibtehal Abbas Sadiq
    • Steel and Composite Structures
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    • v.47 no.4
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    • pp.503-511
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    • 2023
  • Stability of laminated plate under thermal load varied linearly along thickness, is developed using a higher order displacement field which depend on a parameter "m", whose value is optimized to get results closest to three-dimension elasticity results. Hamilton, s principle is used to derive equations of motion for laminated plates. These equations are solved using Navier-type for simply supported boundary conditions to obtain non uniform critical thermal buckling and fundamental frequency under a ratio of this load. Many design parameters of cross ply and angle ply laminates such as, number of layers, aspect ratios and E1/E2 ratios for thick and thin plates are investigated. It is observed that linear and uniform distribution of temperature reduces plate frequency.

A Study on the Proper Fillet Shape in Fracture Mechanical Aspect (파괴역학적 관점에서의 적정 필렛 형상에 관한 연구)

  • Kim, Chul;Yang, Won-Ho;Cho, Myoung-Rae
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.7
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    • pp.214-220
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    • 1999
  • In order to use effectively a machinery part with fillet, it is necessary to determine a proper fillet shape in design step, Study of such problem by fracture mechanical criterion is rare. So, this paper focuses on the design of fillet radius in fracture mechanical aspect. Finite element method was used to obtain crack tip stress intensity factor. Stress intensity factor was calculated by COD(crack opening displacement0method proposed by Ingraffea and Manu. The parameter used in this study are thickness ration, filet radium and crack length . If fillet radius increase , crack propagation may be accelerated. Critical crack length is inversely proportional to fillet radius.

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