• Title/Summary/Keyword: 평면변형률

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A Model Study on Deformability of A Transversely Isotropic Rock (평면이방성 암석의 변형특성 모델연구)

  • Park, Chul-Whan;Park, Eui-Seob;Park, Chan
    • Tunnel and Underground Space
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    • v.18 no.4
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    • pp.252-262
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    • 2008
  • In the uniaxial compressive test of a single specimen of transversely isotropic rock, its 5 independent elastic constants can not be defined since maximum 4 independent strain measurements are available theoretically. In order to solve this problem, one equation proposed by Saint Venant in 19C and confirmed by Lekhnitskii through the test experiences has been used for long time. Accordign to authors' experiences, however, this equation turned out to give erroneous elastic constants in some cases. Three new equations are suggested and their compatibilities are discussed in this paper. As the results of the analyses of the models, Lekhnitskii's suggested equation is effective for the specimen with the high dip angle whereas it results in the large erred output for that with dip angle less than $25{\sim}30$. It was found that the effectivenesses of three suggested equations and their compatibilities are subject to the dip angle and not to the amounts of elastic constants. Guide map to the selection of the compatible one of those suggested equations is presented as a result of the study.

Strength Analysis of Joint Between Steel Plate and CFRP Laminated Splice Plates Patched by Adhesive (접착제를 사용한 CFRP와 강재 이음부의 강도 해석)

  • Park, Dae-Yong;Lee, Sang-Youl;Chang, Suk-Yoon
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.2 no.2
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    • pp.13-19
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    • 2011
  • This paper presents the stress distribution of the damaged butt joint of steel plate using CFRP laminates when the flange in tension zone of steel box girder is welded by butt welding. When CFRP sheets are patched on tension flange of steel-box girder, the stress distribution of a vertical and normal direction on damaged welding part is shown as parameters such as a variation of the thickness of adhesive, the overlap length with steel, and the modulus of elasticity of CFRP sheets. For the study, we wrote the computer program using the EAS(Enhanced assumed strain) finite element method for plane strain that has a very fast convergency and exact stress for distorted shape.

Finite Element Formulation for Axisymmetric Linear Viscoelastic Problems (축대칭 선형 점탄성 구조물의 정적 유한요소해석)

  • Oh Guen;Sim Woo-Jin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.321-332
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    • 2005
  • In this paper, the time-domain finite element formulations for axisymmetric linear viscoelastic problems, especially for the viscoelastic hollow sphere and cylinder, under various boundary conditions are presented with the theoretical solutions of them obtained by using the elastic-viscoelastic correspondence principle. It is assumed that the viscoelastic material behaves like a standard linear solid in distortion and elastically in dilatation. Numerical examples are solved based on the spherically symmetric, axisymmetric and plane strain finite element models. Good agreements are obtained between numerical and theoretical solutions, which shows the validity and accuracy of the presented method.

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.

Elasto-Plasticity of Granular Micro-Structures (미소구조에서의 탄소성모델)

  • Park Jae-gyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.4 s.70
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    • pp.453-458
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    • 2005
  • This study deals with elasto-plasticity of granular micro-structures which recovers continuum elasto-plasticity in its counterpart. The theory is based on doublet mechanics that assumes particles of finite size and connecting linear springs, and it makes extensions to plasticity. The result shows that the micro model has one to one relationship with the continuum model in the simplest case. Micro-strain and micro-stress of two dimensional plane stress problem were calculated, which shows the behavior of the specimen and verifies the effectiveness of this model.

Evaluation of Behavior of Composite Single Lap Joints with Different Finite Element Models (유한요소 모델에 따른 복합재 단일겹치기 접착 조인트부의 거동 평가)

  • Kim, Jung-Seok;Yoon, Hyuk-Jin;Hwang, Jae-Yeon;Yoon, Ji-You;Lee, Seung-Hun
    • Journal of the Korean Society for Railway
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    • v.13 no.6
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    • pp.546-551
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    • 2010
  • In this paper, the strain distribution of the bond layer has been compared with the experimental data and analyzed according to the different mesh refinements and element types. The mesh density was changed along the longitudinal direction of adherend, the longitudinal direction of overlapped region, the vertical direction of adherend, the vertical direction of adhesive and the width direction of the joint. In addition, the effect of the different types of element was evaluated using soild, shell and plane strain element. The geometric nonlinear analysis was performed to consider the large deformation of the joint. From the numerical result, at least 2 elements were needed to achieve a reliable result as the solid element used. In case of shell element, the peel strain at x/c=1 showed 22.8% error compared with the experiment but the shear strain showed a good agreement with the experiment within 1.67% error.

Homogenization of Elastic Cracks in Hoek-Brown Rock (Hoek-Brown 암석에서 발생된 탄성균열의 균질화)

  • Lee, Youn-Kyou;Jeon, Seok-Won
    • Tunnel and Underground Space
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    • v.19 no.2
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    • pp.158-166
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    • 2009
  • As a basic study for investigating the development of the stress-induced crack in Hoek-Brown rock, a homogenization technique of elastic cracks is proposed. The onset of crack is monitored by Hoek-Brown empirical criterion, while the orientation of the crack is determined by the critical plane approach. The concept of volume averaging in stress and strain component was invoked to homogenize the representative rock volume which consists of intact rock and cracks. The formulation results in the constitutive relations for the homogenized equivalent anisotropic material. The homogenization model was implemented in the standard FEM code COSMOSM. The numerical uniaxial tests were performed under plane strain condition to check the validity of the propose numerical model. The effect of friction between the loading plate and the rock sample on the mode of deformation and fracturing was examined by assuming two different contact conditions. The numerical simulation revealed that the homogenized model is able to capture the salient features of deformation and fracturing which are observed commonly in the uniaxial compression test.

Development of Finite Element Program for Automobile Crashworthiness(II) (자동차 충돌해석용 프로그램 개발(II))

  • 채수원;최형연;민동균
    • Journal of the korean Society of Automotive Engineers
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    • v.18 no.4
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    • pp.67-87
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    • 1996
  • 본 연구에서는 차체의 충돌해석 및 모델링을 위하여 판/쉘 요소의 자동생성 모듈을 개발하고 재료의 변형특성 모델링 모듈 및 접촉처리 모듈을 개발하였다. 충돌해석용 전처리기능으로는 평면, 실린더 곡면, B-스플라인 곡면 및 블렌딩 (blending) 곡면상에서의 사각형 요소망 자동생성 기법과 프로그램을 개발하였다. 또한 차체를 구성하고 있는 여러가지 재료들의 변형거동을 모델링하여 개발중인 충돌해석전용프로그램인 Autocrash의 모듈로서 완성하였다. 이들은 변형률속도의 영향이 고려된 탄소성 재료, 강체 재료, 포옴 재료 및 이방성 재료등으로 정면충돌 해석 및 측면충돌 해석에 필요하다. 한편 접촉처리 모듈에서 접촉탐색법으로는 주종탐색법과 HITA 알고리즘을 병행하여 사용할 수 있도록 프로그래밍하였으며, 불침투 조건의 처리는 벌칙함 수법을 이용하였다.

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Effect of Incident Direction of Earthquake Motion on Seismic Response of Buried Pipeline (지진파 입사방향에 따른 매설관 종방향 응답특성 규명)

  • Kwak, Hyungjoo;Park, Duhee;Lee, Jangguen;Kang, Jaemo
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.9
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    • pp.43-51
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    • 2015
  • In this paper, a 3D shell-spring model that can perform time history analysis of buried pipelines is used to evaluate the effect of the incident direction of the earthquake motion. When applying harmonic motions, it is shown that the period of vibration has pronounced influence on the response of buried pipelines. With decrease in the period, the curvature of the pipeline and corresponding response are shown to increase. To evaluate the effect of the incident angle, the motions are applied in the direction of the pipleline, horizontal, and vertical planes. When the motion is applied parallel to the direction of the pipeline, it only induces bending strains and therefore, the response is the lowest. Under motions subjected in horizontal and vertical planes at an angle of $45^{\circ}$ from the longitudinal axis of the buried pipeline, the axial deformation is shown to contribute greatly to the response of the pipelines. When imposing two-components simultaneously, the calculated response is similar to the case where only single-component is imposed. It is because one component only induces bending strain, resulting in very small increase in the response. The trend of the response is shown to be quite similar for recorded motions. Therefore, it is concluded that use of a single-component is sufficient for estimation of the longitudinal response of buried pipelines.

A Consideration on the Simulation Tests for Evaluating Stamping Formability (판재의 성형성평가 실험에 대한 고찰)

  • 김영석;박기철
    • Journal of the KSME
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    • v.33 no.1
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    • pp.47-65
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    • 1993
  • 판재의 스탬핑 성형성평가를 위해 소재제조업체와 자동차업체에서 널리 사용되고 있는 2,3개의 대표적인 모사실험과 컴퓨터 모드의 실험에 대하여 소개하였고 각각의 특징들에 대하여 논하 였다. 스탬핑금형의 개발과 연속생산공정에 있어서 성형한계선은 원형그리드해석기법과 함께 핀재의 성형난이도 평가 및 불량원인 규명과 조치에 유용하게 사용가능하다. 또한 돔장출실험과 평면변형장출실험에서 각각 얻어지는 한계돔높이와 한계펀치높이는 입하코일에 대한 스탬핑성 공여부의 사전확인 및 연속생산 공정에 대한 통계적 품질관리수단으로 활용하면 스탬핑공정에 서의 불량률감소 및 생산성향상에 기여할 수 있을 것으로 생각된다.

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