• 제목/요약/키워드: Elastic strain energy

검색결과 282건 처리시간 0.023초

On the vibration and energy harvesting of the piezoelectric MEMS/NEMS via nonlocal strain gradient theory

  • Zohre Moradi;Farzad Ebrahimi;Mohsen Davoudi
    • Advances in nano research
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    • 제15권3호
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    • pp.203-213
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    • 2023
  • The possibility of energy harvesting as well as vibration of a three-layered beam consisting of two piezoelectric layers and one core layer made of nonpiezoelectric material is investigated using nonlocal strain gradient theory. The three-layered nanobeam is resting on an elastic foundation. Hamilton's principle is used to derive governing equations and associated boundary conditions. The generalized differential quadrature method (GDQM) was used to discretize the equations, and the Newmark beta method was used to solve them. The size-dependency of the elastic foundation is considered using two-phase elasticity. The equations, as well as the solution procedure, are validated utilizing some compassion studies. This work can be a basis for future studies on energy harvesting of small scales.

Distortion and Dilatatioin in the Tensie Failure of Paper

  • Park, Jong-Moon;James L. Thorpe
    • 펄프종이기술
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    • 제31권5호
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    • pp.73-85
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    • 1999
  • Yield and fracture are separated in the tensile failure of paper. Failure in the machine direction of photocopy paper is contrasted with failure in the cross-machine direction . The ratios of distortion (shape change) to dilatation (volume change) for individual elements at yield and fracture are described. The ratios of distortion to dilatation are measured and compared to predicted values of the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density factor, samples are prepared from machine direction to cross-machine direction in 15 degree intervals. the strain energy density of individual elements are obtained by the integration of stress from finite element analysis with elastic plus plastic strain energy density theory. Poison's ratio and the angle from the principal material direction have a great effect ion the ratio fo distortion to dilatation in paper. During the yield condition, distortion prevails over dilatation . At fracture, dilatation is at a maximum.

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반복재하(反復載荷)에 의한 점성토(粘性土)의 응력변형특성(應力變形特性) (Stress-Strain Behavior of Clays under Repeated Loading)

  • 조재홍;강예묵;유능환
    • 농업과학연구
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    • 제14권2호
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    • pp.329-344
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    • 1987
  • 과압밀비(過壓密比)와 전단속도(剪斷速度) 및 다짐율(率)이 점성토(粘性土)의 응력변형특성(應力變形特性)에 미치는 영향(影響)을 검토(檢討)하기 위해서 반부극하(反復戟荷)에 의(依)한 삼축압축시험(三軸壓縮試驗)을 한 결과(結果)를 요약(要約)하면 다음과 같다. 1. 반부재하(反復載荷)를 했을 때 같은 변형(變形)에서 축차응력의 차(差)는 큰 변형(變形)에서 반부재하(反復載荷)했을 때 더욱 크게 나타났고 공극수압(空隙水壓)은 제하시(除荷時)에는 감소(減少)하다가 다시 증가(增加)하며 재재하(再載荷)되면서 급격히 증가하는 현상(現象)을 나타냈다. 2. 과압밀비(過壓密比)가 클수록 변형(變形)의 증가(增加)에 따라 회복되는 탄성변형률은 감소(減少)하였으며 제일재하계수(除一載荷係數)는 과압밀비가 증가(增加)할수록 감소(減少)하였다. 3. 전단속도(剪斷速度)가 증가(增加)함에 따라 탄성변형율(彈性變形率)은 증가(增加)하였고 변형(變形)의 증가(增加)에 따라 탄성변형율(彈性變形率)은 감소(減少)하였다. 제일재하계수(除一載荷係數)는 변형(變形)이 증가(增加)함에 따라 감소(減少)하였고 전단속도(剪斷速度)가 빠른 경우에 큰 값을 나타냈다. 4. 회복되는 탄성변형율(彈性變形率)은 다짐율이 증가(增加)함에 따라 크게 나타났고 또 변형(變形)이 증가(增加)함에 따라 탄성변형율(彈性變形率)은 약간 감소(減少)하는 경향(傾向)을 나타냈다. 제일재하계수(除一載荷係數)는 다짐율(率)의 증가(增加)에 따라 뚜렷한 경향(傾向)은 보이지 않았으나 일반적(一般的)으로 변형(變形)이 증가(增加)함에 따라 감소(減少)하는 경향(傾向)을 나타냈다.

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Analysis of cavity expansion based on general strength criterion and energy theory

  • Chao Li;Meng-meng Lu;Bin Zhu;Chao Liu;Guo-Yao Li;Pin-Qiang Mo
    • Geomechanics and Engineering
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    • 제37권1호
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    • pp.9-19
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    • 2024
  • This study presents an energy analysis for large-strain cavity expansion problem based on the general strength criterion and energy theory. This study focuses on the energy dissipation problem during the cavity expansion process, dividing the soil mass around the cavity into an elastic region and a plastic region. Assuming compliance with the small deformation theory in the elastic region and the large deformation theory in the plastic region, combined with the general strength criterion of soil mass and energy theory, the energy dissipation solution for cavity expansion problem is derived. Firstly, from an energy perspective, the process of cavity expansion in soil mass is described as an energy conversion process. The energy dissipation mechanism is introduced into the traditional analysis of cavity expansion, and a general analytical solution for cavity expansion related to energy is derived. Subsequently, based on this general analytical solution of cavity expansion, the influence of different strength criterion, large-strain, expansion radius, cavity shape and characteristics of soil mass on the stress distribution, displacement field and energy evolution around the cavity is studied. Finally, the effectiveness and reliability of theoretical solution is verified by comparing the results of typical pressure-expansion curves with existing literature algorithms. The results indicate that different strength criterion have a relatively small impact on the displacement and strain field around the cavity, but a significant impact on the stress distribution and energy evolution around the cavity.

구형석출물을 갖는 무한 고체에 전수압이 가해지는 경우에 대한 탄소성해 (An elasto-plastic solution for infinite solid containing a spherical precipitate under hydrostatic pressure)

  • 최병익;엄윤용
    • 대한기계학회논문집
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    • 제5권2호
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    • pp.122-130
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    • 1981
  • Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.

Elastic Stability of Thin-Walled Arches subjected to Uniform Bending - Linear Bending Normal Strain Distribution -

  • Ryu, Hyo-Jin;Lim, Nam-Hyoung;Lee, Chin-Ok
    • 한국방재학회 논문집
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    • 제9권2호
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    • pp.11-15
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    • 2009
  • 본 논문에서는 균일 모멘트 하중을 받는 박판 아치의 탄성 좌굴에 관한 연구를 수행하였다. 초기 곡률을 고려한 비선형 변형률-변위 관계식을 전체 포텐셜 에너지 방정식의 이차 변분에 대입하여 초기 곡률 효과를 포함하는 에너지 방정식을 유도하였다. 휨 모멘트에 의한 단면 내 법선 변형률이 선형으로 분포한다는 초기 곡률 효과에 대한 가정사항을 유도과정에 일관되게 적용하였다. 균일 모멘트 하중을 받는 아치의 휨-비틀림 좌굴하중에 관한 제차해를 제시하고 타 연구자의 결과와 비교하였다.

FLUID-ELASTIC INSTABILITY OF ROTATED SQUARE TUBE ARRAY IN AN AIR-WATER TWO-PHASE CROSSFLOW

  • CHUNG HEUNG JUNE;CHU IN-CHEOL
    • Nuclear Engineering and Technology
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    • 제38권1호
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    • pp.69-80
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    • 2006
  • Fluid-elastic instability in an air-water two-phase cross-flow has been experimentally investigated using two different arrays of straight tube bundles: normal square (NS) array and rotated square (RS) array tube bundles with the same pitch-to-diameter ratio of 1.633. Experiments have been performed over wide ranges of mass flux and void fraction. The quantitative tube vibration displacement was measured using a pair of strain gages and the detailed orbit of the tube motion was analyzed from high-speed video recordings. The present study provides the flow pattern, detailed tube vibration response, damping ratio, hydrodynamic mass, and the fluid-elastic instability for each tube bundle. Tube vibration characteristics of the RS array tube bundle in the two-phase flow condition were quite different from those of the NS array tube bundle with respect to the vortex shedding induced vibration and the shape of the oval orbit of the tube motion at the fluid-elastic instability as well as the fluid-elastic instability constant.

섬유보강 시멘트 복합재료용 충격 시험장치 (Innovative impact apparatus for fiber reinforced cement composites)

  • 김동주
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2010년도 춘계 학술대회 제22권1호
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    • pp.403-404
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    • 2010
  • 본 논문에서는 큰 시험체 크기와 많은 충격에너지를 필요로 하는 섬유보강 시멘트 복합재료의 충격 실험을 수행하기 위한 새로운 종류의 충격시험 장비를 제안하였다. 제안한 충격시험장치는 위치에너지나 운동에너지를 사용하는 기존 충격시험와 달리 선형변형에너지를 사용하고, 기존의 다른 충격시험장비와 비교하여 크기가 훨씬 작고 경제적이며 안전하다.

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On the analysis of delamination in multilayered inhomogeneous rods under torsion

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • 제8권5호
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    • pp.377-391
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    • 2019
  • The present paper is focused on analyzing the delamination of inhomogeneous multilayered rods of circular cross-section loaded in torsion. The rods are made of concentric longitudinal layers of individual thickness and material properties. A delamination crack is located arbitrary between layers. Thus, the internal and external crack arms have circular and ring-shaped cross-sections, respectively. The layers exhibit continuous material inhomogeneity in radial direction. Besides, the material has non-linear elastic behavior. The delamination is analyzed in terms of the strain energy release rate. General solution to the strain energy release rate is derived by considering the energy balance. The solution is applied to analyze the delamination of cantilever rod. For verification, the strain energy release rate is derived also by considering the complementary strain energy.

스플릿 흡킨슨 바(SHPB)를 이용한 이방성 화강암의 동적파괴거동 연구 (A Study on dynamic Fracturing Behavior of Anisotropic Granite by SHPB Test)

  • 최미진;조상호;양형식
    • 터널과지하공간
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    • 제18권3호
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    • pp.214-218
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    • 2008
  • 본 연구에서는 SHPB(Split Hopkinson Pressure Bar)를 이용하여 변형률 속도에 따른 이방성 화강암의 동적파괴 과정을 조사하였다. 실험결과 변형률 속도가 증가할수록 에너지 흡수량 및 최대응력이 증가하였다. 최대응력은 모든 방향에서 변형률 속도에 의존적이나 역학적 이방성에 민감하지는 않았다. 변형률 속도가 증가할수록 탄성파속도가 많이 감쇠되고, 모든 방향에서 변형률 속도에 의존적이며 강한 암석일수록 감쇠가 빠르게 일어났다.