• Title/Summary/Keyword: Strain Energy

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Results and implications of the damage index method applied to a multi-span continuous segmental prestressed concrete bridge

  • Wang, Ming L.;Xu, Fan L.;Lloyd, George M.
    • Structural Engineering and Mechanics
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    • v.10 no.1
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    • pp.37-51
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    • 2000
  • Identification of damage location based on modal measurement is an important problem in structural health monitoring. The damage index method that attempts to evaluate the changes in modal strain energy distribution has been found to be effective under certain circumstances. In this paper two damage index methods using bending strain energy and shear strain energy have been evaluated for numerous cases at different locations and degrees of damage. The objective is to evaluate the feasibility of the damage index method to localize the damage on large span concrete bridge. Finite element models were used as the test structures. Finally this method was used to predict the damage location in an actual structure, using the results of a modal survey from a large concrete bridge.

Role of the Strain Energy in Diffuse Phase Transition of (Pb, Ba)(Zr, Ti)O3 ((Pb, Ba) (Zr, Ti)O3계의 확산된 상전이에 있어서 Strain Energy의 역할)

  • 이재찬;주웅길
    • Journal of the Korean Ceramic Society
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    • v.24 no.6
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    • pp.586-592
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    • 1987
  • The role of the strain energy and phase stability in the diffuse phase transition have been investigated in the highly disordered solid solution, (Pb1-xBax)(Zr0.4Ti0.6)O3 (0.2 x 0.4). X-ray diffraction analysis indicates that tetragonality (c/a) decreases with the increasing Ba content. Also as the Ba content increases, phase transition becomes more diffuse and at the same time dielectric relaxation as a function of measured frequencies in the 1KHz-10MHz range occurs very pronouncedly. In the Ba content range, 0.2 x 0.35, hysteresis loops are routinely observed and the loop is observed to narrow shape as the Ba content increases but becomes very slim at 40mol% Ba content. Moreover thermal analysis shows that there is no abrupt change in the thermal expansion coefficient below the apparent transition temperature at which dielectric constant becomes maximum. From the above results, it has been concluded that creation of the strain energy due to the distorthion that occurred during the phase transition suppresses diffuse phase transition.

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Analysis of Mixed Mode Delamination in Graphite/Epoxy Composite (흑연/에폭시 복합재료의 혼합모우드 층간분리 해석)

  • Yum, Y. J.;You, H.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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    • pp.171-178
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    • 1996
  • DCB(pure mode I) and CLS(mixed mode) tests were performed to investigate the effect of fracture mode on the interlaminar fracture of composite laminate. Mode I critical strain energy release rate was found to be $133J/m^2$ from the DCB test and total strain energy release rate decreased from $1, 270J/m^2$ as thickness ratio(tl/t) varied from 0.333 to 0.667 from the crease from the CLS test. Crack length had no effect on the total strain energy release rate and load was almost constant during the crack growth of the specimen which had the specific thickness ratio. Crack initiated when the stress of the strap ply reached constant stress $42kgf/mm^2$ which was found to be independent of the thickness ratio.

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Fatigue Strength Evaluation on the IB-Type Spot Welded Lap Joint of 304 Stainless Steel Part 2 : Strain energy Density (304 스테인레스 박강판 IB형 용접이음재의 피로강도 평가 Part 2 : 변형에너지 밀도에 의한 평가)

  • 손일선;오세빈;배동호
    • Journal of Welding and Joining
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    • v.17 no.6
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    • pp.32-37
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    • 1999
  • Since stainless steel plates have good mechanical properties, weldability, appearance and resistance of corrosion, these are traditionally used for vehicles such as the bus and the train. And they are mainly fabricated by spot welding. But fatigue strength of their spot welded joint is considerably influenced by welding conditions as well as geometrical factors. Thus a reasonable and systematic criterion for long life design of spot welded body structure must be established. In this report, strain energy density was analyzed by using 3-dimensional finite element model about the IB-type spot welded lap joint under tension-shear load. Fatigue tests were conducted on them having various thickness, joint angle, lapped length and width. From their results, it was found that fatigue strength of the IB-type spot welded lap joints could be effectively and systematically rearranged by strain energy density at the edge of nugget.

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Increasing the performance of energy harvesting in vibration mode shapes

  • Jabbari, Majid;Ghayour, Mostafa;Mirdamadi, Hamid Reza
    • Advances in Computational Design
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    • v.1 no.2
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    • pp.155-173
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    • 2016
  • This paper presents a method of design for the energy harvesting of a piezoelectric cantilever beam. Vibration modes have strain nodes where the strain distribution changes in the direction of the beam length. Covering the strain nodes of the vibration modes with continuous electrodes effects a cancellation of the voltages outputs. The use of segmented electrodes avoids cancellations of the voltage for multi-mode vibration. The resistive load affects the voltage and generated power. The optimum resistive load is considered for segmented and continuous electrodes, and then the power output is verified. One of the effective parameters on energy harvesting performance is the existence of concentrated mass. This topic is studied in this paper. Resonance and off-resonance cases are considered for the harvester. In this paper, both theoretical and experimental methods are used for satisfactory results.

Prediction of low cycle fatigue life for Inconel 617 (Inconel 617의 저주기피로 수명 예측)

  • Kim K.G.;Kim D.H.;Kim J.H.;Lee Y.S.;Paik W.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.612-615
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    • 2005
  • Low cycle fatigue tests are performed on the Incollel 617 that be used fur a hot gas casing. The relation between strain energy density and numbers of cycles to failure is examined in order to predict the low cycle fatigue life of Inconel 617. The life predicted by the strain energy method is found to coincide with experimental data and results obtained from the Coffin-Mansun method. Also the cyclic behavior of Inconel 617 is characterized by cyclic hardening with increasing number of cycle at room temperature.

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Analysis of the strain energy release rate for time-dependent delamination in multilayered beams with creep

  • Rizov, Victor I.
    • Advances in materials Research
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    • v.11 no.1
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    • pp.41-57
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    • 2022
  • This paper is focused on delamination analysis of a multilayered inhomogeneous viscoelastic beam subjected to linear creep under constant applied stress. The viscoelastic model that is used to treat the creep consists of consecutively connected units. Each unit consists of one spring and two dashpots. The number of units in the model is arbitrary. The modulus of elasticity of the spring in each unit changes with time. Besides, the modulii of elasticity and the coefficients of viscosity change continuously along the thickness, width and length in each layer since the material is continuously inhomogeneous in each layer of the beam. A time-dependent solution to the strain energy release rate for the delamination is derived. A time-dependent solution to the J-integral is derived too. A parametric analysis of the strain energy release rate is carried-out by applying the solution derived. The influence of various factors such as creep, material inhomogeneity, the change of the modulii of elasticity with time and the number of units in the viscoelastic model on the strain energy release rate are clarified.

Multilayered inhomogeneous beam under prescribed angle of twist and displacements: A delamination analysis

  • Victor I. Rizov
    • Coupled systems mechanics
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    • v.13 no.2
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    • pp.153-170
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    • 2024
  • The problem considered in this theoretical paper is the delamination of a multilayered inhomogeneous beam structure that has viscoelastic behaviour under angle of twist, horizontal and vertical displacements which vary smoothly with time according to prescribed laws. The cross-section of the beam is a rectangle. The layers are made of different materials which are smoothly inhomogeneous along the length of the beam. The beam under consideration represents statically undetermined structure since it is clamped in its two ends. The problem of the strain energy release rate is solved. For this purpose, the strain energy stored in the beam structure is analyzed. In order to verify the solution obtained, the strain energy release rate is found also analyzing the time-dependent compliances of the beam under prescribed angle of twist and displacements. A parametric investigation is carried-out by applying the solution obtained. Special attention is paid to the effect of the parameters which control the variation of the angle of twist and the displacements with time on the strain energy release rate.

Enhanced Spherical Indentation Techniques for Rubber Property Evaluation (향상된 구형압입 고무 물성평가법)

  • Hwang, Kyu-Min;Oh, Jopng-Soo;Lee, Hyung-Yil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1357-1365
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    • 2009
  • In this study, we enhance the numerical approach of Lee et al.$^{(1)}$ to spherical indentation technique for property evaluation of hyper-elastic rubber. We first determine the friction coefficient between rubber and indenter in a practical viewpoint. We perform finite element numerical simulations for deeper indentation depth. An optimal data acquisition spot is selected, which features sufficiently large strain energy density and negligible frictional effect. We then improve two normalized functions mapping an indentation load vs. deflection curve into a strain energy density vs. first invariant curve, the latter of which in turn gives the Yeoh-model constants. The enhanced spherical indentation approach produces the rubber material properties with an average error of less than 3%.

Damage Evaluation of a Simply Supported Steel Beam Using Measured Acceleration and Strain Data (가속도 및 변형률 계측데이터를 이용한 철골 단순보 손상평가)

  • Park Soo-Yong;Park Hyo-Seon;Lee Hong-Min;Choi Sang-Hyun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.167-174
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    • 2006
  • In this paper, the applicability of strain data to a strain-energy-based damage evaluation methodology in detecting damage in a beam-like structure is demonstrated. For the purpose of this study, one of the premier damage evaluation methodology based on modal amplitudes, the damage index method, is expanded to accomodate strain data, and the numerical and experimental verifications are conducted using numerical and experimental data. To compare the relative performance of damage detection, the damage evaluation using acceleration data is also performed for the same damage scenarios. The experimental strain and acceleration data are extracted from laboratory static and dynamic tests. The numerical and experimental studies show that the strain data as well as acceleration data can be utilized in detecting damage.

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