• Title/Summary/Keyword: elastic strain energy

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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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    • v.15 no.3
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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
    • Journal of Korea Technical Association of The Pulp and Paper Industry
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    • v.31 no.5
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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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Stress-Strain Behavior of Clays under Repeated Loading (반복재하(反復載荷)에 의한 점성토(粘性土)의 응력변형특성(應力變形特性))

  • Cho, Jae Hong;Kang, Yea Mook;Ryu, Neung Hwan
    • Korean Journal of Agricultural Science
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    • v.14 no.2
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    • pp.329-344
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    • 1987
  • This paper described the behavior under repeated loading in triaxial compression test on clay. The experiment was conducted to investigate the influence of controlled various over-consolidation ratio and compaction energy, on the stress-strain behavior of clays. 1. The difference of deviator stress during repeated loading was greatly appeared at large strain. And pore water pressure was decreased at initial of unloading, but it was increased again before long. 2. The recoverable elastic strain (${{\Delta}{\varepsilon}e}$) and the slope of un-reloading were decreased with the increment of over-consolidation ratio (OCR). 3. The recoverable elastic strain (${{\Delta}{\varepsilon}e}$) was increased with the increment of strain rate but it was decreased with the increment of strain in strain rate tests. The slope of un-reloading (Eur) tends to increase with the increment of strain rate and it was decreased with the increment of strain. 4. The recoverable elastic strain was greatly increased with the increment of compaction energy and it slightly tends to decrease with the increment of strain on various compaction energy. The slope of un-reloading was not appeared markedly with increment of compaction energy but it tends to decrease with the increment of strain generally.

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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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    • v.37 no.1
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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.

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

  • ;;Earmme, Youn Young
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.2
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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
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.2
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    • pp.11-15
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    • 2009
  • This paper is concerned with the elastic buckling of thin-walled arches that are subjected to uniform bending. Nonlinear strain-displacement relations with the initial curvature are substituted into the second variation of the total potential energy to obtain the energy equation including initial curvature effects. The approximation for initial curvature effects that the bending normal strain distribution is linear across the cross section is applied consistently in the derivation process. The closed form solution is obtained for flexural-torsional buckling of arches under uniform bending and, it is compared with the previous theoretical results.

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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    • v.38 no.1
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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.

On the analysis of delamination in multilayered inhomogeneous rods under torsion

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.8 no.5
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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.

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

  • Kim, Dong-Joo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.403-404
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    • 2010
  • This paper introduces new impact apparatus using elastic strain energy for Fiber Reinforced Cementitious Composites [HPFRCC] which requires larger size of specimen and higher impact load and energy to fail the specimens. New impact apparatus utilize elastic strain energy to generate high rate impact stress wave and it is much smaller, cheaper and safer than current other impact devices.

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

  • Choi, Mi-Jin;Cho, Sang-Ho;Yang, Hyung-Sik
    • Tunnel and Underground Space
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    • v.18 no.3
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    • pp.214-218
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    • 2008
  • Dynamic fracturing of anisotropic granite was investigated by SHPB (Split Hopkinson Pressure Bar). Energy absorption during the test and maximum stress were increased as strain rate increased. Maximum stresses in every direction were dependent on the strain rate but not so sensitive to anisotropy. Elastic wave velocity was decreased as strain rate increased and dependent on strain rate in every direction. Especially, elastic wave velocity decreased more rapidly in a strong rock.