• Title/Summary/Keyword: elastic thickness

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A variation of elastic modulus of very thin diamond-like carbon films with deposition condition (증착조건에 따른 극미세 다이아몬드상 카본 박막의 탄성률 변화거동)

  • 정진원;이광렬;은광용;고대홍
    • Journal of the Korean Vacuum Society
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    • v.10 no.4
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    • pp.387-395
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    • 2001
  • The elastic modulus and the structural evolution were examined with the film thickness in polymeric, hard, graphitic diamond-like carbon (DLC) films. The DLC films used in the present study were prepared by radio frequency plasma assisted chemical vapor deposition (r.f.-PACVD) from $C_6H_6\;and\;CH_4$ gas. Elastic modulus of very thin DLC film was measured by free overhang method. This method has an advantage over the other methods. Because the substrate was removed by etching technique, the measured value is not affected by the mechanical property of the substrate. The structural evolution was investigated by the G-peak position of the Raman spectrum. The polymeric and graphitic films exhibited the decreased elastic modulus with decreasing film thickness. In polymeric films, the reason was that more polymeric film had been deposited in the initial stage of the film growth and in graphitic film more graphic films which had been deposited in the initial stage decreased the elastic modulus. The G-peak position of the Raman spectrum confirmed this result. On the other hand, the hard film showed the constant elastic modulus regardless to the film thickness. The structural change was not observed in this range of the film thickness.

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Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • v.59 no.2
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

Analysis of the Thermo-Elastic Damping of a Beam-Type Resonator (보형 공진기의 열탄성 감쇠 해석)

  • Rhee, Huinam;Park, Junsung;Sarapuloff, Sergii A.;Han, Soon Woo;Park, Jin Ho
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.682-686
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    • 2014
  • This paper deals with the thermo-elastic damping (TED) due to the temperature change in a beam when it is in a resonant condition. Based on previous references, the analytical formulation for TED of a resonant thin beam was derived, and then TED was expressed as a function of the geometry of the beam, especially, its thickness. It was clearly shown that TED of a resonant beam is significantly varied for different thickness. Finally, the worst thickness of the beam has been identified in regard to the high-Q factor, and the result was compared to the finite element analysis.

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Estimating Soil Thickness in a Debris Flow using Elastic Wave Velocity (탄성파 속도를 활용한 토석류 위험지역의 표토층 두께 결정)

  • Min, Dae-Hong;Park, Chung-Hwa;Lee, Jong-Sub;Yoon, Hyung-Koo
    • The Journal of Engineering Geology
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    • v.26 no.1
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    • pp.143-152
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    • 2016
  • To estimate the stability of a debris flow it is necessary to know the mass of surface soil, cohesion, slope, and friction angle. Given that the mass of surface soil is a function of soil thickness and mass density, it is important to obtain reliable estimates of soil thickness across a wide area. The objective of this paper is to estimate soil thickness using the elastic wave velocity with a new standard velocity. Tests are performed in debris-flow hazard areas, after which four profiles are selected to obtain the elastic wave velocity. Dynamic cone penetration tests are carried out to find the soil thickness at 18 points. The elastic wave velocity shows the area consists of 3~4 layers, and soil thicknesses are predicted by utilizing the new standard. The elastic wave velocity and dynamic cone penetration tests yield large differences in soil thickness. Therefore, this study shows that the new standard is useful not only in estimating soil thickness but also in improving the reliability of estimates of soil thickness.

Elastic-Plastic Finite Element Analysis of Deep Drawings of Circular and Square Cups Considering Bending (굽힘을 고려한 원형 및 정사각형컵 딥드로잉 공정의 탄소성 유한요소해석)

  • 심현보;양동열
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1738-1750
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    • 1994
  • Both cylindrical cup drawing and square cup drawing are analyzed using membrane analysis as well as shell analysis by the elastic-plastic finite element method. An incremental formulation incorporating the effect of large deformation and normal anisotropy is used for the analysis of elastic-plastic non-steady deformation. The computed results are compared with the existing experimental results to show the validity of the analysis. Comparisons are made in the punch load and distribution of thickness strain between the membrane analysis and the shell analysis for both cylindrical and square cup drawing processes. In punch load, both analyses show very little difference and also show generally good agreement with the experiment. For the cylindrical cup deep drawing, the computed thickness strain of a membrane analysis, however, shows a wide difference with the experiment. In the shell analysis, the thickness strain shows good agrement with the experiment. For the square cup deep drawing, both membrane and shell analyses show a wide difference with experiment, this may be attributable to the ignorance of the shear deformation. Concludingly, it has been shown that the membrane approach shows a limitation for the deep drawing process in which the effect of bending is not negligible and more exact information on the thickness strain distribution is required.

Creep analysis of plates made of functionally graded Al-SiC material subjected to thermomechanical loading

  • Majid Amiri;Abbas Loghman;Mohammad Arefi
    • Advances in concrete construction
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    • v.15 no.2
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    • pp.115-126
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    • 2023
  • This paper investigates creep analysis of a plate made of Al-SiC functionally graded material using Mendelson's method of successive elastic solution. All mechanical and thermal material properties, except Poisson's ratio, are assumed to be variable along the thickness direction based on the volume fraction of reinforcement and thickness. First, the basic relations of the plate are derived using the Love-Kirchhoff plate theory. The solution of governing equations yields an elastic solution to start creep analysis. The creep behavior is demonstrated through Norton's equation based on Pandey's experimental results extracted for Al-SiC functionally graded material. A linear variation is assumed for temperature distribution along the thickness direction. The creep strain, as well as the thermal strain, are included in the governing equations derived from classical plate theory for mechanical strain. A successive elastic solution based on Mendelson's method is employed to derive the history of stresses, strains, and displacements over a long time. History of stresses and deformations are obtained over a long time to predict damage to the plate because of various loadings, and material composition along the thickness and planar directions.

Numerical and analytical investigation of cyclic behavior of D-Shape yielding damper

  • Kambiz Cheraghi;Mehrzad TahamouliRoudsari;Sasan Kiasat;Kaveh Cheraghi
    • Structural Engineering and Mechanics
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    • v.89 no.4
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    • pp.411-420
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    • 2024
  • The purpose of this research was to investigate the cyclic behavior of the D-shaped dampers (DSD). Similarly, at first, the numerical model was calibrated using the experimental sample. Then, parametric studies were conducted in order to investigate the effect of the radius and thickness of the damper on energy dissipation, effective and elastic stiffness, ultimate strength, and equivalent viscous damping ratio (EVDR). An analytical equation for the elastic stiffness of the DSD was also proposed, which showed good agreement with experimental results. Additionally, approximate equations were introduced to calculate the elastic and effective stiffness, ultimate strength, and energy dissipation. These equations were presented according to the curve fitting technique and based on numerical results. The results indicated that reducing the radius and increasing the thickness led to increased energy dissipation, effective stiffness, and ultimate strength of the damper. On the other hand, increasing the radius and thickness resulted in an increase in EVDR. Moreover, the ratio of effective stiffness to elastic stiffness also played a crucial role in increasing the EVDR. The thickness and radius of the damper were evaluated as the most effective dimensions for reducing energy dissipation and EVDR.

Elastic local buckling behaviour of corroded cold-formed steel columns

  • Nie Biao;Xu Shanhua;Hu WeiCheng;Chen HuaPeng;Li AnBang;Zhang ZongXing
    • Steel and Composite Structures
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    • v.48 no.1
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    • pp.27-41
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    • 2023
  • Under the long-term effect of corrosive environment, many cold-formed steel (CFS) structures have serious corrosion problems. Corrosion leads to the change of surface morphology and the loss of section thickness, which results in the change of instability mode and failure mechanism of CFS structure. This paper mainly investigates the elastic local buckling behavior of corroded CFS columns. The surface morphology scanning test was carried out for eight CFS columns accelerated corrosion by the outdoor periodic spray test. The thin shell finite element (FE) eigen-buckling analysis was also carried out to reveal the influence of corrosion surface characteristics, corrosion depth, corrosion location and corrosion area on the elastic local buckling behaviour of the plates with four simply supported edges. The accuracy of the proposed formulas for calculating the elastic local buckling stress of the corroded plates and columns was assessed through extensive parameter studies. The results indicated that for the plates considering corrosion surface characteristics, the maximum deformation area of local buckling was located at the plates with the minimum average section area. For the plates with localized corrosion, the main buckling shape of the plates changed from one half-wave to two half-wave with the increase in corrosion area length. The elastic local buckling stress decreased gradually with the increase in corrosion area width and length. In addition, the elastic local buckling stress decreased slowly when corrosion area thickness was relatively large, and then tends to accelerate with the reduction in corrosion area thickness. The distance from the corrosion area to the transverse and longitudinal centerline of the plate had little effect on the elastic local buckling stress. Finally, the calculation formula of the elastic local buckling stress of the corroded plates and CFS columns was proposed.

The Study on Compliance Mismatch with respect to the Thickness Variation of Elastic Foundation in Anastomosis Using Simplified Suturing Model (단순봉합모델을 이용한 문합에서 탄성경계층의 두께 변화에 따른 컴플라이언스 부적합에 관한 연구)

  • 이성욱;심재준;한동섭;한근조;김태형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1302-1305
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    • 2003
  • In this paper we analyzed the effect of compliance mismatch with respect to the thickness variation of elastic foundation(fatty tissue) in end-to-end anastomosis. This study considered the preliminary deformed shape induced by suturing in the anastomosis of coronary artery and PTFE with different diameters using simplified suturing model and the fatty tissue surrounding heart and coronary artery for more accurate result using finite element method. Area compliance(C$\sub$A/) was used to analyze the final deformed shape of the anastomotic part with respect to the thickness variation of fatty tissue under mean blood pressure, 100 mmHg(13.3kPa). The results obtained were as follows : 1. When the elastic foundation, assumed to be incompressive material, surrounded the grafts in anastomosis, the compliance mismatch of artery and PTFE was improved by 47∼72%. 2. As the initial diameter ratio(R$\sub$I/) became larger, the higher difference of compliance was induced in spite of elastic foundation surrounding grafts.

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Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory

  • Bouderba, Bachir
    • Steel and Composite Structures
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    • v.27 no.3
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    • pp.311-325
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    • 2018
  • This article presents the bending analysis of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment. Theoretical formulations are based on a recently developed refined shear deformation theory. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. The present theory satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the present refined shear deformation theory contains only four unknowns as against five in case of other shear deformation theories. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a simple power law distribution of the volume fraction of the constituents. The elastic foundation is modeled as non-uniform foundation. The results of the shear deformation theories are compared together. Numerical examples cover the effects of the gradient index, plate aspect ratio, side-to-thickness ratio and elastic foundation parameters on the thermo-mechanical behavior of functionally graded plates. Numerical results show that the present theory can archive accuracy comparable to the existing higher order shear deformation theories that contain more number of unknowns.