• 제목/요약/키워드: In-plane Deformations

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레이저 스페클 간섭법을 이용한 면내 변형 측정 및 해석에 대한 연구 (I) (A Study on Measurement and Analysis of In-Plane Deformations by Using Laser Speckle Interferometry (I))

  • 강영준;노경완;강형수
    • 한국정밀공학회지
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    • 제15권11호
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    • pp.121-129
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    • 1998
  • In-plane ESPI(Electronic Speckle Pattern Interferometry) was devised to measure in-plane deformations and rotation of a specimen with laser in this study. ESPI is a optical measuring method to be able to measure the deformations of engineering components and materials in industrial fields. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. And the 4-frame phase shifting method was used for the quantitative analysis. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between the experiment results and those of the FEA(Finite Element Analysis).

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An analysis of an elastic solid incorporating a crack under the influences of surface effects in plane & anti-plane deformations

  • Kim, Chun Il
    • Interaction and multiscale mechanics
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    • 제4권2호
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    • pp.123-137
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    • 2011
  • We review a series of crack problems arising in the general deformations of a linearly elastic solid (Mode-I, Mode-II and Mode-III crack) and, perhaps more significantly, when the contribution of surface effects are taken into account. The surface mechanics are incorporated using the continuum based surface/interface model of Gurtin and Murdoch. We show that the deformations of an elastic solid containing a single crack can be decoupled into in-plane (Mode-I and Mode-II crack) and anti-plane (Mode-III crack) parts, even when the surface mechanics is introduced. In particular, it is shown that, in contrast to classical fracture mechanics (where surface effects are neglected), the incorporation of surface elasticity leads to the more accurate description of a finite stress at the crack tip. In addition, the corresponding stress fields exhibit strong dependency on the size of crack.

전자 스페클 간섭법과 유한요소법을 이용한 면내변형의 측정에 관한 연구 (A Study on the Measurement of In-plane Deformations by using Electronic Speckle Pattern Interferometry and Finite Element Method)

  • 강형수;조기현;김홍석;정형길
    • 한국산업융합학회 논문집
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    • 제5권3호
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    • pp.187-192
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    • 2002
  • In-plane ESPI(Electronic Speckle Patten Interferometry)was devised to measure in~plane defamation and rotation of a specimen with laser in this study. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between theexperiment results and those of the FEA(Finit Element Analysis).

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The effect of in-plane deformations on the nonlinear dynamic response of laminated plates

  • Kazanci, Zafer;Turkmen, Halit S.
    • Structural Engineering and Mechanics
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    • 제42권4호
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    • pp.589-608
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    • 2012
  • In this study, the effect of in-plane deformations on the dynamic behavior of laminated plates is investigated. For this purpose, the displacement-time and strain-time histories obtained from the large deflection analysis of laminated plates are compared for the cases with and without including in-plane deformations. For the first one, in-plane stiffness and inertia effects are considered when formulating the dynamic response of the laminated composite plate subjected to the blast loading. Then, the problem is solved without considering the in-plane deformations. The geometric nonlinearity effects are taken into account by using the von Karman large deflection theory of thin plates and transverse shear stresses are ignored for both cases. The equations of motion for the plate are derived by the use of the virtual work principle. Approximate solution functions are assumed for the space domain and substituted into the equations of motion. Then, the Galerkin method is used to obtain the nonlinear algebraic differential equations in the time domain. The effects of the magnitude of the blast load, the thickness of the plate and boundary conditions on the in-plane deformations are investigated.

레이저 스페클 간섭법을 이용한 면내 변형 측정 및 해석에 대한 연구 (II) (A Study on Measurement and Analysis of In-Plane Deformations by Using Laser Speckle Interferometry (II))

  • 강영준;노경완;나의균
    • 한국정밀공학회지
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    • 제15권12호
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    • pp.113-119
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    • 1998
  • Recently Electronic Speckle Pattern Interferometry(ESPI) has been studied because it has the advantages to be able to measure the whole-field surface deformations of engineering components and materials in industrial areas with noncontact. The speckle patterns to be formed with interference phenomena of scattering light from rough surfaces illuminated by laser light have phase informations of surface deformations. In this study we used this interference phenomena and the phase shifting method to measure the inplane deformations, together with the use of digital image equipment to process the informations contained in the speckle pattern and to display consequent interferograms on TV monitor. FEA was performed before experiments and we obtained good agreement between the experimental results and FEA.

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Buckling of plates including effect of shear deformations: a hyperelastic formulation

  • Musa, Idris A.
    • Structural Engineering and Mechanics
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    • 제57권6호
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    • pp.1107-1124
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    • 2016
  • Consistent finite strain Plate constitutive relations are derived based on a hyperelastic formulation for an isotropic material. Plate equilibrium equations under finite strain are derived following a static kinematic approach. Three Euler angles and four shear angles, based on Timoshenko beam theory, represent the kinematics of the deformations in the plate cross section. The Green deformation tensor has been expressed in term of a deformation tensor associated with the deformation and stretches of an embedded plate element. Buckling formulation includes the in-plane axial deformation prior to buckling and transverse as well as in-plane shear deformations. Numerical results for a simply supported thick plate under uni-axial compression force are presented.

자중과 용접변형을 고려한 평블록 조립 시뮬레이션 (An Assembly Simulation of a Plane Block with Gravity and Welding Deformations)

  • 노재규;신종계
    • 대한조선학회논문집
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    • 제36권3호
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    • pp.122-133
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    • 1999
  • 완성되어진 블록을 이용한 탑재의 과정에서 발생하는 블록 경계간의 판재 겹쳐짐 현상, 과도한 간격 및 단차의 발생현상은 선박의 건조비용과 공수를 증가시키는 요인이 된다. 본 논문에서는 블록의 조립 및 탑재에 관한 시뮬레이션 시스템을 제안하고 이중 조립에 관한 시뮬레이션을 용접순서에 따라 용접변형 및 자중을 고려하여 유한요소해석을 ANSYS를 이용하여 수행하였다. 용접에 의한 변형은 실험에 의한 변형량을 이용한 등가강성에 따른 등가 하중을 사용하여 탄성적인 해석법을 수행하여 예측하였으며 선체 이중저 평블록을 패널 조립법에 근거한 조립순서에 따라 시뮬레이션을 수행하였다. 시뮬레이션을 통한 변형으로부터 조립순서에 따른 중간 제품의 형상의 변화에 의한 강성의 변화에 기인한 변형량의 차이를 확인 할 수 있었으며, 자중의 효과를 반드시 고려하여야 함을 확인 할 수 있었다.

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Ramifications of Structural Deformations on Collapse Loads of Critically Cracked Pipe Bends Under In-Plane Bending and Internal Pressure

  • Sasidharan, Sumesh;Arunachalam, Veerappan;Subramaniam, Shanmugam
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.254-266
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    • 2017
  • Finite-element analysis based on elastic-perfectly plastic material was conducted to examine the influence of structural deformations on collapse loads of circumferential through-wall critically cracked $90^{\circ}$ pipe bends undergoing in-plane closing bending and internal pressure. The critical crack is defined for a through-wall circumferential crack at the extrados with a subtended angle below which there is no weakening effect on collapse moment of elbows subjected to in-plane closing bending. Elliptical and semioval cross sections were postulated at the bend regions and compared. Twice-elastic-slope method was utilized to obtain the collapse loads. Structural deformations, namely, ovality and thinning, were each varied from 0% to 20% in steps of 5% and the normalized internal pressure was varied from 0.2 to 0.6. Results indicate that elliptic cross sections were suitable for pipe ratios 5 and 10, whereas for pipe ratio 20, semioval cross sections gave satisfactory solutions. The effect of ovality on collapse loads is significant, although it cancelled out at a certain value of applied internal pressure. Thinning had a negligible effect on collapse loads of bends with crack geometries considered.

Application of ESPI to Measurement of Out-of-plane Displacement in a Spot Welded Canti-levered Plate

  • Baek, Tae-Hyun;Kim, Myung-Soo;Na, Eui-Gyun;Koh, Seung-Kee
    • International Journal of Precision Engineering and Manufacturing
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    • 제4권5호
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    • pp.41-46
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    • 2003
  • Electronic Speckle Pattern Interferometry (ESPI) has been recently developed and widely used because it has the advantage of being able to measure surface deformations of engineering components and materials in industrial areas without contact. The speckle patterns formed with interference and scattering phenomena can measure not only the out-of-plane but also the in-plane deformations. Digital image equipment processes the information included in the speckle patterns and displays the consequent interferogram on a computer monitor. In this study, the experimental results of a canti-levered plate using ESPI were compared with those obtained from the simple beam theory. The ESPI results of the canti-levered plate, analyzed by 4-step phase shifting method, are close to the theoretical expectation. Similarly, out-of-plane displacements of a spot welded canti-levered plate were also measured by ESPI with 4-step phase shifting technique. The phase map of the spot welded canti-levered plate is quite different from that of the canti-levered plate without spot welding.

레이저스펙클 간섭법과 4단계 위상이동법에 의한 외팔보점용접부의 면외 변위측정 (Measurement of Out-of-plane Displacement in a Spot Welded Canti-levered Plate using Laser Speckle Interferometry with 4-step Phase Shifting Technique)

  • 백태현;김명수;차병석;조성호
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.226-230
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    • 2001
  • Electronic Speckle Pattern Interferometry (ESPI) has been recently developed and widely used because it has advantage to be able to measure surface deformations of engineering components and materials in industrial areas with non-contact. The spekle patterns to be formed with interference phenomena of scattering phenomena measure the out-of-plane deformations, together with the use of digital image equipment to process the informations included in the speckle patterns and the display consequent interferogram on a computer monitor. In this study, the experimental results of a canti-levered plate using ESPI were compared with those obtained from the simple beam theory. The ESPI results of the canti-levered plate analyzed by 4-step phase shifting method are close to the theoretical expectation. Also, out-0of-plane displacements of a spot welded canti-levered plate were measured by ESPI with 4-step phase shifting technique. The phase map of the spot welded canti-levered plate is quite different from that of the canti-levered plate without spot welding.

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