• 제목/요약/키워드: elastic potentials

검색결과 43건 처리시간 0.02초

Smart analysis of doubly curved piezoelectric nano shells: Electrical and mechanical buckling analysis

  • Arefi, Mohammad
    • Smart Structures and Systems
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    • 제25권4호
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    • pp.471-486
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    • 2020
  • Stability analysis of three-layered piezoelectric doubly curved nano shell with accounting size dependency is performed in this paper based on first order shear deformation theory and curvilinear coordinate system relations. The elastic core is integrated with sensor and actuator layers subjected to applied electric potentials. The principle of virtual work is employed for derivation of governing equations of stability. The critical electrical and mechanical buckling loads are evaluated in terms of important parameters of the problem such as size-dependent parameter, two principle angle of doubly curved shell and two parameters of Pasternak's foundation. One can conclude that mechanical buckling loads are decreased with increase of nonlocal parameter while the electrical buckling loads are increased.

The buckling of piezoelectric plates on pasternak elastic foundation using higher-order shear deformation plate theories

  • Ellali, Mokhtar;Amara, Khaled;Bouazza, Mokhtar;Bourada, Fouad
    • Smart Structures and Systems
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    • 제21권1호
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    • pp.113-122
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    • 2018
  • In this article, an exact analytical solution for mechanical buckling analysis of magnetoelectroelastic plate resting on pasternak foundation is investigated based on the third-order shear deformation plate theory. The in-plane electric and magnetic fields can be ignored for plates. According to Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the plate is determined. The von Karman model is exploited to capture the effect of nonlinearity. Navier's approach has been used to solve the governing equations for all edges simply supported boundary conditions. Numerical results reveal the effects of (i) lateral load, (ii) electric load, (iii) magnetic load and (iv) higher order shear deformation theory on the critical buckling load have been investigated. These results must be the analysis of intelligent structures constructed from magnetoelectroelastic materials.

지수형적 물성변화를 갖는 함수구배 재료에서 구배방향을 따라 전파하는 균열 해석 (Analysis of a Crack Propagating Along the Gradient in Functionally Gradient Materials with Exponential Property Gradation)

  • 이광호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.113-118
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    • 2003
  • Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has exponentially varying elastic and physical properties along the direction of the crack propagation, are derived. The equations of motion in nonhomogeneous material are developed using displacement potentials. The solutions to the displacement fields and the stress fields for a crack propagating at constant speed along the gradient are obtained through an asymptotic analysis. The influences of nonhomogeneity on the higher order terms of the stress fields are explicitly brought out. Using these stress components, isochromatic fringes around the stationary crack are generated at crack for different nonhomogeneity and the effects of nohonhomgeneity on these fringes are discussed.

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몰수된 원형 유연막에 의한 파랑변형 (Wave Deformation by Submerged Flexible Circular Disk)

  • 조일형;김무현
    • 한국해안해양공학회지
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    • 제12권3호
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    • pp.116-129
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    • 2000
  • 자유수면 아래 일정한 초기장력이 작용한 원형 박막이 수평으로 놓여있을 때 3차원 선형 유탄성 이론을 적용하여 파와 구조물의 상호작용문제를 고찰하였다. 속도포텐셜을 회절포텐셜과 방사포텐셜로 분리하여 각각의 경계치 문제를 푼다. 유체영열을 3개의 영역으로 나누어 각 영역에서 회절포텐셜과 방사포텐셜을 Bessel 함수의 전개식으로 표현하고 부족한 경계조건으로 생기는 미지수는 인접한 영역이 만나는 정합면에서 속도와 압력이 같다는 정합조건식을 적용하여 구해진다. 원형막의 크기와 잠긴 깊이 그리고 추기장력이 변함에 따라 원형 유연막 주위의 파의 형태가 달라짐을 볼 수 있었다. 즉, 적절히 설계된 몰수형 원형 유연막은 파 에너지를 집중시키는데 활용될 수 있다.

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방파제를 고려한 초대형 부유식 해양구조물의 응답 (Hydroelastic Responses for a Very Large Floating Structure with a Breakwater)

  • 이호영;신현경;임춘규;김외현;강점문;윤명철
    • 대한조선학회논문집
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    • 제38권2호
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    • pp.26-32
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    • 2001
  • 본 논문은 고정식 방파제를 포함한 초대형 부유식 해상공항의 파도 중에서 유탄성 응답을 계산하는 방법을 제시하였다. 방파제 효과를 고려한 방사문제와 산란문제를 해석하기 위하여 소오스-다이폴 분포법을 사용하였고, 구조물의 응답은 자유-자유 보의 고유 모드함수에 의한 모드 해석법을 사용하여 계산하였다. 계산 모델로 길이가 1000m의 해상공항 구조물을 도입하였고, 방파제의 효과를 살펴보기 위해 입사파의 주기, 강성, 방파제와 해상공항 사이의 간격을 변화시키면서 수직 응답 및 모우멘트 등을 계산하였다.

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분자동력학법에 의한(62-x)CaO·38Al2O3 ·xBaO 유리의 구조 분석 (A study on the Structure of (62-x)CaO·38Al2O3 ·xBaO Glasses by Molecular Dynamics Simulation)

  • 이성주;강은태
    • 한국세라믹학회지
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    • 제44권3호
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    • pp.175-181
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    • 2007
  • Molecular dynamics simulation (MD) of $(62-x)CaO{\cdot}38Al_{2}O_{3}{\cdot}xBaO$ glasses has been carried out using empirical potentials with the covalent term. The simulations closely reproduce the total neutron correlation functions of glass with 5 mol% BaO and physical properties of these glasses such as elastic constants. For these glasses, aluminum is tetrahedrally coordinated by oxygen, but there is a part of five-fold and six-fold coordination of aluminum. There are no major changes to the mid-range structure of glass, as barium is substituted for calcium. To predict the barium coordination number, we have used the bond valence (BV) theory and also compared the results of simulation with Bond valence. The coordination number for oxygen around barium atoms is close to 8 and the average distance of barium and oxygen is nearly 2.80 A. The viscosity of these glasses increases with the content of barium oxide substituted for calcium oxide.

An analytical solution for static analysis of a simply supported moderately thick sandwich piezoelectric plate

  • Wu, Lanhe;Jiang, Zhiqing;Feng, Wenjie
    • Structural Engineering and Mechanics
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    • 제17권5호
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    • pp.641-654
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    • 2004
  • This paper presents a theoretic model of a smart structure, a transversely isotropic piezoelectric thick square plate constructed with three laminas, piezoelectric-elastic-piezoelectric layer, by adopting the first order shear deformation plate theory and piezoelectric theory. This model assumes that the transverse displacements through thickness are linear, and the in-plane displacements in the mid-plane of the plate are not taken to be account. By using Fourier's series expansion, an exact Navier typed analytical solution for deflection and electric potential of the simply supported smart plate is obtained. The electric boundary conditions are being grounded along four vertical edges. The external voltage and non-external voltage applied on the surfaces of piezoelectric layers are all considered. The convergence of the present approach is carefully studied. Comparison studies are also made for verifying the accuracy and the applicability of the present method. Then some new results of the electric potentials and displacements are provided. Numerical results show that the electrostatic voltage is approximately linear in the thickness direction, while parabolic in the plate in-plane directions, for both the deflection and the electric voltage. These results are very useful for distributed sensing and finite element verification.

Nanocomposite Coating with TiAlN and Amorphous Carbon Phases Synthesized by Reactive Magnetron Sputtering

  • Kim, Bom Sok;Kim, Dong Jun;La, Joung Hyun;Lee, Sang Yong;Lee, Sang Yul
    • 대한금속재료학회지
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    • 제50권11호
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    • pp.801-808
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    • 2012
  • TiAlCN coatings with various C contents were synthesized by unbalanced magnetron sputtering. The characteristics, the crystalline structure, surface morphology, hardness, and friction coefficient of the coatings as a function of the C content were investigated by X-ray diffraction (XRD), atomic force microscopy (AFM), a microhardness tester, and a wear test. In addition, their corrosion behaviors in a deaerated 3.5 wt% NaCl solution at $40^{\circ}C$ were investigated by potentiodynamic polarization tests. The results indicated that the $Ti_{14.9}Al_{15.5}C_{30.7}N_{38.9}$ coating had the highest hardness, elastic modulus, and a plastic deformation resistance of 39 GPa, 359 GPa, and 0.55, respectively, and it also had the lowest friction coefficient of approximately 0.26. Comparative evaluation of the TiAlCN coatings indicated that a wide range of coating properties, especially coating hardness, could be obtained by the synthesis methods and processing variables. The microhardness of the coatings was much higher than that from previously reported coating using similar magnetron sputtering processes. It was almost as high as the microhardness measured from the TiAlCN coatings (~41 GPa) synthesized using an arc ion plating process. The potentiodynamic test showed that the corrosion resistance of the TiAlCN coatings was significantly better than the TiAlN coatings, and their corrosion current density ($i_{corr}$), corrosion potentials ($E_{corr}$) and corrosion rate decreased with an increasing C content in the coatings. The much denser microstructure of the coatings due to the increased amount of amorphous phase with increasing C contents in the coatings could result in the the improved corrosion resistance of the coatings.

Forced vibration of a sandwich Timoshenko beam made of GPLRC and porous core

  • Mohammad Safari;Mehdi Mohammadimehr;Hossein Ashrafi
    • Structural Engineering and Mechanics
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    • 제88권1호
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    • pp.1-12
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    • 2023
  • In this study, forced vibration behavior of a piezo magneto electric sandwich Timoshenko beam is investigated. It is assumed a sandwich beam with porous core and graphene platelet reinforced composite (GPLRC) in facesheets subjected to magneto-electro-elastic and temperature-dependent material properties. The magneto electro platelets are under linear function along with the thickness that includes a cosine function and magnetic and electric constant potentials. The governing equations of motion are derived using modified strain gradient theory for microstructures. The effects of material length scale parameters, temperature change, different distributions of porous, various patterns of graphene platelets, and the core to face sheets thickness ratio on the natural frequency and excited frequency of a sandwich Timoshenko beam are scrutinized. Various size-dependent methods effects such as MSGT, MCST, and CT on the natural frequency is considered. Moreover, the final results affirm that the increase in porosity coefficient and volume fractions lead to an increase in the amount of natural frequency; while vice versa for the increment in the aspect ratio. From forced vibration analysis, it is understood that by increasing the values of volume fraction and the length thickness of GPL, the maximum deflection of a sandwich beam decreases. Also, it is concluded that increasing the temperature, the thickness of GPL, and the initial force leads to a decrease in the maximum deflection of GPL. It is also shown that resonance phenomenon occurs when the natural and excitation frequencies become equal to each other. Outcomes also reveal that the third natural frequency owns the minimum value of both deflection and frequency ratio and the first natural frequency has the maximum.

건조스트레스가 수리취의 광합성 및 수분관련 특성에 미치는 영향 (Drought Stress Influences Photosynthesis and Water Relations Parameters of Synurus deltoides)

  • 이경철;이학봉
    • 한국산림과학회지
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    • 제106권3호
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    • pp.288-299
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    • 2017
  • 이 연구는 건조스트레스가 수리취의 생리적 반응에 미치는 영향을 알아보고자 수행하였으며, 건조스트레스는 25일 간의 단수처리를 통해 유도하였다. 건조스트레스가 진행됨에 따라 새벽 녘 수분포텐셜(${\Psi}_{pd}$)과 정오의 수분포텐셜(${\Psi}_{mid}$)이 모두 감소하였으며, 수분불포화도(WSD)는 약 7배 증가하였다. 특히 일중 수분포텐셜차(${\Psi}_{pd}-{\Psi}_{mid}$)는 처리 후 10일까지 0.22~0.18 MPa 범위로 큰 차이를 나타냈으나 이후에는 차이가 크게 줄어드는 경향을 보였다. 수리취는 건조스트레스 처리 후 15일부터 기공전도도와 기공증산속도의 감소가 두드러졌고, 처리 20일 이후에는 최대광합성 속도와 순양자수율 역시 큰 폭으로 감소한 반면 수분이용효율은 반대의 경향을 보였다. 이것은 기공을 통한 $CO_2$와 수분의 조절이 원활하지 못해 광합성량의 감소가 일어난 것을 의미한다. JIP 분석을 통해 단수처리 15일 이후에 기능지수($PI_{ABS}$) 및 에너지전달 효율의 감소가 두드러진 것으로 나타났으며, 광계 2의 활성이 감소한 것을 보여준다. 엽의 원형질 분리시 삼투포텐셜 ${\Psi}_o{^{tlp}}$은 -0.4 MPa, 최대포수시의 삼투포텐셜 ${\Psi}_o{^{sat}}$은 -0.35 MPa의 삼투적 적응 반응을 나타냈으며, 최대탄성계수($E_{max}$)의 탄성적 적응은 9.4 MPa로 나타나 수리취는 건조스트레스에 따라 삼투적 적응과 탄성적 적응이 모두 나타나는 것을 알 수 있었다. Vo/DW, Vt/DW와 같은 수분특성인자는 건조스트레스에 따라 증가되는 것으로 나타났다. 결과적으로 수리취는 새벽녘 엽수분포텐셜이 -0.93 MPa 이하로 저하되면 광합성 활성의 감소가 크게 나타나고, 건조스트레스에 따라 삼투적 적응과 탄성적 적응이 나타나 이것이 이 식물의 중요한 적응방법임을 알 수 있었다.