• Title/Summary/Keyword: In-plane displacement

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The Development of Incompatible Finite Elements for Plane Stress/Strain Using Multivariable Variational formulation (다변수 변분해법에 의한 비적합 4절점 사각형 평면응력 및 평면변형률 요소의 개발)

  • 주상백;신효철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.11
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    • pp.2871-2882
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    • 1994
  • Two kinds of 4-node plane stress/strain finite elements are presented in this work. They are derived from the modified Hellinger-Reissner variational principle so as to employ the internal incompatible displacement and independent stress fields, or the incompatible displacement and strain fields. The introduced incompatible functions are selected to satisfy the constant strain condition. The elements are evaluated on several problems of bending and material incompressibility with regular and distorted elements. The results show that the new elements perform excellently in the calculation of deformation and stresses.

An Interfacial Crack Model with Inclined Strip Plastic Zones under Mode III Load (모우드 III 하중 하에서 경사진 띠모양의 소성역을 가정한 계면균열 모델)

  • 박재학;엄윤용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.2
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    • pp.243-251
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    • 1989
  • Assuming plastic zones spreading out on each slip plane of the two materials under out-of-plane shear loading, the size of each plastic zone is computed. The effect of the different frictional shear stresses in the two materials on the size of each plastic zone and the relative displacement at the crack tip are investigated. The relation between the J-integral in this model and the relative displacement at the crack tip is also obtained.

AN EXPERIMENTAL STUDY ON THE EFFECT OF POSTERIOR DISPLACEMENT OF THE MANDIBLE ON THE TEMPOROMANDIBULAR JOINT IN RATS (백서 하악골의 후방 이동이 과두에 미치는 영향에 관한 실험적 연구)

  • Park, Kyung Jin
    • The korean journal of orthodontics
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    • v.10 no.1
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    • pp.29-36
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    • 1980
  • Inclined plane, one of frequently used orthodontic appliances, may cause posterior displacement of mandible and injure the normal growth of temporomandibular joint. So author carried out the mandibular posterior displacement experimentally induced by inserting inclined plane in the rat incisors in order to investigate the histological reactions occuring in the temporomandibular joint of experimental animals. Following results were obtained. 1. The posterior displacement of condyle resulted in the widening of anterior synovial space with anterior condylar hyperplasia and posterior condylar atrophy. In addition, tissue changes were more severe in young rats than in adult rats. 2. The tissue reactions were localized only to condylar head ana there were no evidence of traumatic features in young rats. In adult rats, hemorrhage was an additional finding 1 week after experiment. 3. The remodelling processes were accompanied by the increasing or reduction of fibrous layer and subsequent replacement by cartilage layer occured massively and abruptly in young rats, it occured slightly and slowly in adult rats. 4. The remodelling process of injured condyle occured from 1 week to 4 weeks after experiment and completed between 8 weeks after experiment.

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An Alternative Complex Variable Method in Plane Elasticity

  • Yun, Beong In
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.1 no.1
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    • pp.65-74
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    • 1997
  • For two dimensional elasticity, we suggest a new complex variable method using the Navier's displacement equation. This method gives alternative displacement and stress formulae to those resulting from the Muskhelishvili's complex function method.

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Applicability estimation of ESPI on the vibration mode analysis of rectangular plate (직사각형 평판의 진동모드 해석에 관한 ESPI의 적용성 평가)

  • 김경석;정현철;박경주;양승필
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.61-67
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    • 1997
  • The electronic speckle pattern interferometer (ESPI) has been applied to many technical problems such as deformation and displacement measurement, strain visualization and surface roughness monitoring. In this study, we used an ESPI system based on the dual beam speckle interferometer method in order to measure in-plane displacement and vibration mode using the ESIP technique. This research was carried out for the purpose of applying the vibration analysis method employing Electro-Optic holographic interference technique to the vibration analysis of uniform rectangular cantilevers plate(SS400,STS304) with cantilevers span to breadth ratio of 150 by 75. And thickness of 1mm and 0.8mm respectively. We improved the ESPI technique in order to obtain the distribution of displacement component resolved in one direction through a CCD camera combined with an image processing system. To certify and to assess the accuracy in measuring by this ESPI, the results obtained with the speckle method and vibration mode analysis are to be compared with those results by Warbuton's Theoretical expression and vibration made in FEM analysis.

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A study on the measurement of two-dimensional in-plane displacements of the plate with a circular hole by ESPI method (ESPI에 의한 원공판의 2차원 면내변위 측정에 관한 연구)

  • Kim, Kyoung Suk;Choi, Hyoung Chol;Yang, Seung Pil;Kim, Hyoung Soo;Hong, M.S.;Jung, W.K.
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.5
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    • pp.161-170
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    • 1994
  • This paper presents the performance and problems in analysis method and testing system of Electronic Speckle Pattern Interfermetry(ESPI) method, in measuring two-dimensional in- plane displacement. The analysis result of measurement by ESPI is quite comparable to that of measurement by strain gauge method. This implieds that the method of ESPI is a very effective tool in non-contact two-dimensional in-plane strain analysis. But there is a controversial point, measurement error. This error is discussed to be affected not by ESPI method itself, but by its analysis scheme of the interference fringe, where the first-order interpolation has been applied to the points of strain measured. Further development of advanced first-order interpolation method is being undertaken for the more precise in-plane strain measurement.

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An application of large displacement limit analysis to frame structures

  • Challamel, Noel
    • Structural Engineering and Mechanics
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    • v.33 no.2
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    • pp.159-177
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    • 2009
  • The aim of this paper is to give a rigorous framework for the interpretation of limit analysis results including large displacements. The presentation is oriented towards unidimensional media (beams) but two-dimensional (plates) or three-dimensional media are also concerned. A single-degree-of-freedom system is first considered: it shows the basic phenomena of large displacement limit analysis or second-order limit analysis. The results are compared to those of a continuous system and the differences between both systems are discussed. Theoretical results are obtained using the kinematical approach of limit analysis. An admissible load-displacement plane is then defined, according to the yield design theory. The methodology used is applied to frame structures. The presented results are nevertheless different from those already published in the literature, as the virtual displacement field can be distinguished from the displacement field at collapse. The simplicity of large displacement limit analysis makes it attractive for practical engineering applications. The load-displacement upper bound can be used for instance in the optimal design of steel frames in seismic areas.

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

  • 강영준;노경완;강형수
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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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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Zero locus of a beam with varying actuator and sensor locations and dynamical analysis (Actuator와 sensor의 위치 변화에 따른 beam의 zero궤적과 동역학적 해석)

  • 이영재
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.474-478
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    • 1992
  • The non-rational transfer function of a Bernoulli-Euler beam, as an important component of a flexible structure, is analyzed. The true pattern of zeros of that transfer function is investigated as a function of sensor and actuator seperation. Translational displacement sensors are used for two cases in which a force input and a moment input are seperately applied. When the displacement sensor is located at a certain point, the first pair of zeros on the real axis of the s-plane arrive at the origin and cancel the rigid-body mode. The location of the translational displacement sensors on the beamat which the rigid-body mode of the beam is unobservable is analyzed as the center of percussion and is uniquely located for each case. If sensor is moved beyond such a point, a pair of zeros appear on the imaginary axis and move away from the origin along the imaginary axis of the s-plane.

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Unsteadily Propagating Permeable Mode III Crack in Piezoelectric Materials (압전재료에서 비정상적으로 전파하는 투과형 모드 III 균열)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.9
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    • pp.985-996
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    • 2012
  • An unsteadily propagating permeable crack in piezoelectric materials (PMs) under anti-plane shear mechanical loading and in-plane electric loading is studied. The equilibrium equations for a transiently propagating crack in a PM are developed, and the solutions on the stress and displacement fields for a permeable crack though an asymptotic analysis are obtained. The influences of piezoelectric constant, dielectric permittivity, time rate of change of the crack tip speed and time rate of change of stress intensity factor on the stress and displacement fields at the transiently propagating crack tip are explicitly clarified. By using the stress and displacements, the characteristics of the stress and displacement at a transiently propagating crack tip in a PM are discussed.