• Title/Summary/Keyword: In-plane variation

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Nonlinear transient analysis of FG pipe subjected to internal pressure and unsteady temperature in a natural gas facility

  • Soliman, Ahmed E.;Eltaher, Mohamed A.;Attia, Mohamed A.;Alshorbagy, Amal E.
    • Structural Engineering and Mechanics
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    • v.66 no.1
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    • pp.85-96
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    • 2018
  • This study investigates the response of functionally graded (FG) gas pipe under unsteady internal pressure and temperature. The pipe is proposed to be manufactured from FGMs rather than custom carbon steel, to reduce the erosion, corrosion, pressure surge and temperature variation effects caused by conveying of gases. The distribution of material graduations are obeying power and sigmoidal functions varying with the pipe thickness. The sigmoidal distribution is proposed for the 1st time in analysis of FG pipe structure. A Two-dimensional (2D) plane strain problem is proposed to model the pipe cross-section. The Fourier law is applied to describe the heat flux and temperature variation through the pipe thickness. The time variation of internal pressure is described by using exponential-harmonic function. The proposed problem is solved numerically by a two-dimensional (2D) plane strain finite element ABAQUS software. Nine-node isoparametric element is selected. The proposed model is verified with published results. The effects of material graduation, material function, temperature and internal pressures on the response of FG gas pipe are investigated. The coupled temperature and displacement FEM solution is used to find a solution for the stress displacement and temperature fields simultaneously because the thermal and mechanical solutions affected greatly by each other. The obtained results present the applicability of alternative FGM materials rather than classical A106Gr.B steel. According to proposed model and numerical results, the FGM pipe is more effective in natural gas application, especially in eliminating the corrosion, erosion and reduction of stresses.

A Study on the period of the Mireuk Temple stone pagoda plane type (미륵사지석탑(彌勒寺址石塔) 평면형식(平面形式) 시대위치(時代位置))

  • Kim, Duk-Mun
    • Korean Journal of Heritage: History & Science
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    • v.37
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    • pp.151-168
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    • 2004
  • The Mireuk Temple Stone pagoda is the largest scale of the existing Stone Pagoda in Korea. A research until now postulates that the Stone pagoda at Mireuk Temple site is composed of nine stories total. However it does not have any records of the detail, dimension, and related methods, etc, even though it is a tectonically large scale building. Only one source of the description is based upon a story which is a sort of Korean myth or traditional story (Samkukyousa, Mu dynasty), although a historical description from a myth or a story is a polemical issue and still needed research in order to prove the truth. One of the ways to make a proof of the truth is an architectural research from the typology of the plane. The types of the plane are differentiated from each era. Therefore, the typology of the plane presents a reason or a proof for the age of the pagoda. Furthermore, the typology of the plane is crucial part in the research of the historical style and it could help the historical style of the Mireuk temple stone pagoda. Research until now shows that the Mireuk temple stone pagoda is the genesis of the stone pagoda shaped after wooden one. It is impossible to find any previous one from the stone pagoda at Mireuk Temple site in Korea. So it is easier to find any previous example from the history of China because Buddhist pagoda-most pagodas are something to do with Buddhism-in Korea is introduced by India via China. This research presents the periodical variation of stone and brick pagoda in both countries. It concludes that the Mireuk temple stone pagoda has $7^{th}$ century's plane type.

Chromosome Variation in Callus Cells Derived from Different Cytogenetic Type Plants of Scilla scilloides Complex (세포유전적 유형이 다른 무릇(Scilla scilloidise Complex)에서 유도된 캘러스 세포의 염색체 변이)

  • Jae-Wook BANG;Jae-hyun PARK;Eun-Young Choi
    • Korean Journal of Plant Tissue Culture
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    • v.21 no.1
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    • pp.59-63
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    • 1994
  • Chromosome variation in callus cells initiated from different cytogenetic type plane of Scilla scilloides Complex was analysed Considerable variation in both chromosome number and struchure was found in type AA, while no autosomal variation was detected in type BB callus cells. In allotetraploid AABB, two hypoploid cells were fount while a hypoploid cell and three hyperploid cells were found in eutetraploid cells of BBBB. Autosomes in callus cells derived from the plant with B-chromosomes were more stable than those from the plant without B-chromosome. We doubt that B-chromosomes have a selective function for the autosomes in culture of S. scilloides Complex.

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Study of Shearography Imaging for Quantity Evaluation Defects in Woven CFRP Composite Materials (직조 CFRP 복합재료 내부결함의 정량적 평가를 위한 Shearography 영상처리 기법 연구)

  • 최상우;이준현;이정호;변준형
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.05a
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    • pp.211-214
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    • 2001
  • Electronic Speckle Pattern Interferometry(ESPI) is one of optical technique to measure displacement precisely, uses CCD camera to show result image in real time. General ESPI system measures in-plane or out-of-plane displacement. Shearography is one of electronic speckle pattern interferometric methods which allow full-field observation of surface displacement derivatives and it is robust in vibration. The shearography provides non-contacting technique of evaluating defects nondestructively. In this study, the shearography was used to evaluate defects in Carbon Fiber Reinforced Plastic(CFRP). Various sizes of artificial defects were embedded in various depths of woven CFRP plate. Effects due to the variation of size and depth of defects were evaluated in this study.

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Application of Shearography for Nondestructive Evaluation of Internal Defects in CFRP (CFRP에 내재된 결함의 비파괴 평가를 위한 Shearography기법 적용)

  • 최상우;이준현
    • Proceedings of the Korean Reliability Society Conference
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    • 2002.06a
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    • pp.245-251
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    • 2002
  • Electronic Speckle Pattern Interferometry(ESPI) is one of optical technique to measure displacement precisely, uses CCD camera to show result image in real time. General ESPI system measures in-plane or out-of-plane displacement. Shearography is one of electronic speckle pattern interferometric methods which allow full-field observation of surface displacement derivatives and it is robust in vibration. The shearography provides non-contacting technique of evaluating defects nondestructively In this study, the shearography was used to evaluate defects in Carbon Fiber Reinforced Plastic(CFRP). Various sizes of artificial defects were embedded in various depths of woven CFRP plate. Effects due to the variation of size and depth of defects were evaluated in this study.

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Representation of fundamental solution and vibration of waves in photothermoelastic under MGTE model

  • Rajneesh Kumar;Nidhi Sharma;Supriya Chopra;Anil K. Vashishth
    • Ocean Systems Engineering
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    • v.13 no.2
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    • pp.123-146
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    • 2023
  • In this paper, Moore-Gibson-Thompson theory of thermoelasticity is considered to investigate the fundamental solution and vibration of plane wave in an isotropic photothermoelastic solid. The governing equations are made dimensionless for further investigation. The dimensionless equations are expressed in terms of elementary functions by assuming time harmonic variation of the field variables (displacement, temperature distribution and carrier density distribution). Fundamental solutions are constructed for the system of equations for steady oscillation. Also some preliminary properties of the solution are explored. In the second part, the vibration of plane waves are examined by expressing the governing equation for two dimensional case. It is found that for the non-trivial solution of the equation yield that there exist three longitudinal waves which advance with the distinct speed, and one transverse wave which is free from thermal and carrier density response. The impact of various models (i)Moore-Gibson-Thomson thermoelastic (MGTE)(2019), (ii) Lord and Shulman's (LS)(1967) , (iii) Green and Naghdi type-II(GN-II)(1993) and (iv) Green and Naghdi type-III(GN-III)(1992) on the attributes of waves i.e., phase velocity, attenuation coefficient, specific loss and penetration depth are elaborated by plotting various figures of physical quantities. Various particular cases of interest are also deduced from the present investigations. The results obtained can be used to delineate various semiconductor elements during the coupled thermal, plasma and elastic wave and also find the application in the material and engineering sciences.

Breakdown Characteristics of a Vertical Sphere-Plane Air Gap in the Presence of Combustion Flame (수직배치 구대평판 공기 갭에서 연소화염 존재시의 절연파괴 특성)

  • Kim, In-Sik
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.25 no.5
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    • pp.79-84
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    • 2011
  • In this study, breakdown characteristics of a vertical sphere-plane air gap in the presence of combustion flame were examined under the application of a.c. and d.c. high-voltages in order to investigate the effect of flame on the dielectric strength of air. Propane gas is used as the fuel of the flame, and the temperature distribution of air around the flame is measured. The polarity effects for the d.c. voltages and breakdown voltages of air when applied both of a.c. and d.c. voltages were examined in the case of the variation of the gap length and the horizontal distance between the flame and the high-voltage sphere electrode. The influence of relative air density, electrification and shape changes of the flame as factors that affect the breakdown voltages were discussed.

An Analysis of the Fatigue Crack Opening Behaviour in the Welding Residual Stress Field by the Finite Element Method (압축잔류응력장을 전파하는 피로균열의 개구거동의 유한요소법을 이용한 해석적 검토)

  • 박응준;김응준;유승현
    • Journal of Welding and Joining
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    • v.21 no.6
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    • pp.77-83
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    • 2003
  • The finite element analysis was performed for the cracks existing in residual stress fields in order to investigate the effects of configuration of residual stress distribution to the fatigue crack opening behaviour. And the variation of stress distributions adjacent to the crack caused by uploading was examined. The finite element model with contact elements for the crack plane and plane stress elements for the base material and the analytical method based on the superposition principle to estimate crack opening behaviour and the stress distribution adjacent to the crack subjected to uploading were used. The results of the analysis showed that crack opening behaviors and variations of stress distribution caused by uploading were changed depending on the configuration of residual stress distribution. When the crack existed in the region of compressive residual stress and the configuration of compressive residual stress distribution were inclined, a partial crack opening just behind of a crack tip occurred during uploading. Based on the above results, it was clarified that the crack opening behaviour in the residual stress field could be predicted accurately by the finite element analysis using these analytical method and model.

Analysis of laminated composite plates based on different shear deformation plate theories

  • Tanzadeh, Hojat;Amoushahi, Hossein
    • Structural Engineering and Mechanics
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    • v.75 no.2
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    • pp.247-269
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    • 2020
  • A finite strip formulation was developed for buckling and free vibration analysis of laminated composite plates based on different shear deformation plate theories. The different shear deformation theories such as Zigzag higher order, Refined Plate Theory (RPT) and other higher order plate theories by variation of transverse shear strains through plate thickness in the parabolic form, sine and exponential were adopted here. The two loaded opposite edges of the plate were assumed to be simply supported and remaining edges were assumed to have arbitrary boundary conditions. The polynomial shape functions are applied to assess the in-plane and out-of-plane deflection and rotation of the normal cross-section of plates in the transverse direction. The finite strip procedure based on the virtual work principle was applied to derive the stiffness, geometric and mass matrices. Numerical results were obtained based on various shear deformation plate theories to verify the proposed formulation. The effects of length to thickness ratios, modulus ratios, boundary conditions, the number of layers and fiber orientation of cross-ply and angle-ply laminates were determined. The additional results on the same effects in the interaction of biaxial in-plane loadings on the critical buckling load were determined as well.

Buckling analysis of sandwich beam rested on elastic foundation and subjected to varying axial in-plane loads

  • Hamed, Mostafa A.;Mohamed, Salwa A;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • v.34 no.1
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    • pp.75-89
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    • 2020
  • The current paper illustrates the effect of in-plane varying compressive force on critical buckling loads and buckling modes of sandwich composite laminated beam rested on elastic foundation. To generalize a proposed model, unified higher order shear deformation beam theories are exploited through analysis; those satisfy the parabolic variation of shear across the thickness. Therefore, there is no need for shear correction factor. Winkler and Pasternak elastic foundations are presented to consider the effect of any elastic medium surrounding beam structure. The Hamilton's principle is proposed to derive the equilibrium equations of unified sandwich composite laminated beams. Differential quadrature numerical method (DQNM) is used to discretize the differential equilibrium equations in spatial direction. After that, eigenvalue problem is solved to obtain the buckling loads and associated mode shapes. The proposed model is validated with previous published works and good matching is observed. The numerical results are carried out to show effects of axial load functions, lamination thicknesses, orthotropy and elastic foundation constants on the buckling loads and mode shapes of sandwich composite beam. This model is important in designing of aircrafts and ships when non-uniform compressive load and shear loading is dominated.