• 제목/요약/키워드: plane stress/strain

검색결과 445건 처리시간 0.031초

기초가 서로 다른 빌딩과 지반의 상호작용에 의한 지진응답 해석 (Earthquake Response of Two Adjacent Buildings Founded at Different Depths)

  • 이종세;윤순종;김동우
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.433-442
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    • 2004
  • 본 논문에서는 이웃한 빌딩의 기초가 서로 상이한 경우, 구조물과 지반의 상호작용에 대한 지진응답해석을 하였다. 세 가지 시스템에 대한 두 가지 모델에 대하여 연구하였다. 첫째 모델의 경우에는 빌딩은 프레임모델로 지반은 그리드모델로 설정하였고, 둘째 모델의 경우에는 구조물과 지반을 평면응력과 평면변형률로 모델화하였다. 또한 변형된 관성모멘트는 지반의 탄성모듈과 함께 구조물의 단면력에 영향을 미치므로 함께 고려되었다. 근사해석으로는 유한요소법과 응답스펙트럼이 적용되었으며 제시된 예를 통하여 안전성을 논증하였다.

Magnetic Properties of Multiferroic $BiFeO_3/BaTiO_3$ Bi-layer Thin Films

  • Yang, P.;Byun, S.H.;Kim, K.M.;Lee, Y.H.;Lee, J.Y.;Zhu, J.S.;Lee, H.Y.
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2008년도 하계학술대회 논문집 Vol.9
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    • pp.318-319
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    • 2008
  • In this article, magnetic properties of multiferroic bi-layer $BiFeO_3$ (BFO)/$BaTiO_3$ (BTO) thin films were studied. It was found that the magnetization increased by the insertion of BTO buffer layer even though the interfacial stress was slightly relaxed, which indicated a coupling between the ferroelectric and ferromagnetic orders. Furthermore, with slightly increase of BFO film thickness, both BFO and BFO/BTO bi-layer films showed anisotropic magnetic properties with higher in-plane magnetization than the values measured out-of-plane. These are attributable to strain constraint effect at the interface.

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축방향 경계 조건을 고려한 두꺼운 실린더의 점소성 응력해 (Viscoplastic Solution of Thick Walled Cylinder Considering Axial Constraint)

  • 윤삼손;이순복
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1555-1561
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    • 2003
  • Finite element analysis using modern constitutive equation is one of the most general tools to simulate the deformation behavior and to predict the life of the structure. Constitutive equation becomes complicated so as to predict the material behavior more accurately than the classical models. Because of the complexity of constitutive model, numerical treatment becomes so difficult that the calculation should be verified carefully. One-element tests, simple tension or simple shear, are usually used to verify the accuracy of finite element analysis using complicated constitutive model. Since this test is mainly focused on the time integration scheme, it is also necessary to verify the equilibrium iteration using material stiffness matrix and to compare FE results with solution of structures. In this investigation, viscoplastic solution of thick walled cylinder was derived considering axial constraints and was compared with the finite element analysis. All the numerical solutions showed a good coincidence with FE results. This numerical solution can be used as a verification tool for newly developed FE code with complicated constitutive model.

Semi-analytical elastostatic analysis of two-dimensional domains with similar boundaries

  • Deeks, Andrew J.
    • Structural Engineering and Mechanics
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    • 제14권1호
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    • pp.99-118
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    • 2002
  • The scaled-boundary finite element method is a novel semi-analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. The method works by weakening the governing differential equations in one coordinate direction through the introduction of shape functions, then solving the weakened equations analytically in the other (radial) coordinate direction. These coordinate directions are defined by the geometry of the domain and a scaling centre. This paper presents a general development of the scaled boundary finite-element method for two-dimensional problems where two boundaries of the solution domain are similar. Unlike three-dimensional and axisymmetric problems of the same type, the use of logarithmic solutions of the weakened differential equations is found to be necessary. The accuracy and efficiency of the procedure is demonstrated through two examples. The first of these examples uses the standard finite element method to provide a comparable solution, while the second combines both solution techniques in a single analysis. One significant application of the new technique is the generation of transition super-elements requiring few degrees of freedom that can connect two regions of vastly different levels of discretisation.

The influence of the initial strains of the highly elastic plate on the forced vibration of the hydro-elastic system consisting of this plate, compressible viscous fluid, and rigid wall

  • Akbarov, Surkay D.;Ismailov, Meftun I.;Aliyev, Soltan A.
    • Coupled systems mechanics
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    • 제6권4호
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    • pp.439-464
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    • 2017
  • The hydro-elastic system consisting of a pre-stretched highly elastic plate, compressible Newtonian viscous fluid, and the rigid wall is considered and it is assumed that on the plate a lineal-located time-harmonic force acts. It is required to investigate the dynamic behavior of this system and determine how the problem parameters and especially the pre-straining of the plate acts on this behavior. The elasticity relations of the plate are described through the harmonic potential and linearized (with respect to perturbations caused by external time-harmonic force) form of these relations is used in the present investigation. The plane-strain state in the plate is considered and the motion of that is described within the scope of the three-dimensional linearized equations of elastic waves in elastic bodies with initial stresses. The motion of the fluid is described by the linearized Navier-Stokes equations and it is considered the plane-parallel flow of this fluid. The Fourier transform with respect to the space coordinate is applied for a solution to the corresponding boundary-value problem. Numerical results on the frequency response of the interface normal stress and normal velocity and the influence of the initial stretching of the plate on this response are presented and discussed. In particular, it is established that the initial stretching of the plate can decrease significantly the absolute values of the aforementioned quantities.

Nonlinear transient analysis of FG pipe subjected to internal pressure and unsteady temperature in a natural gas facility

  • Soliman, Ahmed E.;Eltaher, Mohamed A.;Attia, Mohamed A.;Alshorbagy, Amal E.
    • Structural Engineering and Mechanics
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    • 제66권1호
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    • pp.85-96
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    • 2018
  • This study investigates the response of functionally graded (FG) gas pipe under unsteady internal pressure and temperature. The pipe is proposed to be manufactured from FGMs rather than custom carbon steel, to reduce the erosion, corrosion, pressure surge and temperature variation effects caused by conveying of gases. The distribution of material graduations are obeying power and sigmoidal functions varying with the pipe thickness. The sigmoidal distribution is proposed for the 1st time in analysis of FG pipe structure. A Two-dimensional (2D) plane strain problem is proposed to model the pipe cross-section. The Fourier law is applied to describe the heat flux and temperature variation through the pipe thickness. The time variation of internal pressure is described by using exponential-harmonic function. The proposed problem is solved numerically by a two-dimensional (2D) plane strain finite element ABAQUS software. Nine-node isoparametric element is selected. The proposed model is verified with published results. The effects of material graduation, material function, temperature and internal pressures on the response of FG gas pipe are investigated. The coupled temperature and displacement FEM solution is used to find a solution for the stress displacement and temperature fields simultaneously because the thermal and mechanical solutions affected greatly by each other. The obtained results present the applicability of alternative FGM materials rather than classical A106Gr.B steel. According to proposed model and numerical results, the FGM pipe is more effective in natural gas application, especially in eliminating the corrosion, erosion and reduction of stresses.

응력-변형률 관계 정식화의 적용성(II) -파라메타의 경향성- (Application of Modelling Stress-Strain Relations (Part II) -A Trend of Parameters-)

  • 박춘식
    • 한국지반공학회논문집
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    • 제29권10호
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    • pp.19-27
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    • 2013
  • Tatsuoka and Shibuya(1991)는 하나의 식으로 연약 점성토에서 연암에 이르는 광범위한 지반재료에 대해 적용 가능하며, 넓은 범위의 변형률 수준($10^{-6}{\sim}10^{-2}$)에 대해 적용할 수 있는 새로운 제안식을 발표하였다. 본 연구는 세계 각국의 주요 연구기관에서 사용되고 있는 7종류의 연구용 표준사 공시체 및 2종류의 유리 구슬(Glass beads) 공시체를 이용하여 평면변형률압축시험을 실시하고, 새롭게 제안된 식에 적용하여 각각의 파라메타의 경향성에 대해 연구하였다. 그 결과 구속압이 클수록 $C_1(X={\infty})$ 값이 크게 되지만, $C_2(X={\infty})$ 값은 거의 변화하지 않았다. ${\delta}$에 대한 $C_1(X={\infty})$ 값의 변화는 모래의 종류에 관계없이 ${\delta}$가 클수록 크게 되는 경향이 있지만, $C_2(X={\infty})$, $C_2$(X=Xe) 값은 ${\delta}$가 변화해도 그다지 변화하지 않았다. 한편, ${\alpha}$, ${\beta}$값은 ${\delta}$가 감소함에 따라 약간 감소하는 경향이 있었다.

조선누층군 풍촌석회암 방해석 쌍정에서 유추된 고응력장 (Paleostress Inferred from Calcite Twins in the Pungchon Limestone, Joseon Supergroup)

  • 강성승;장보안
    • 지질공학
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    • 제32권1호
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    • pp.13-26
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    • 2022
  • 본 연구는 방해석 내 쌍정을 이용하여 조선누층군 풍촌석회암층의 고응력장을 규명하기 위함이다. 이를 위해 조선누층군 두위봉형의 풍촌석회암에서 6개의 시료를 채취하여 방해석 c-축의 방향 및 경사, e 쌍정면의 방향 및 경사, 쌍정의 평균 두께 및 갯수, 방해석 입자의 크기 등을 측정하였다. 측정된 자료들은 Calcite Strain Gauge 프로그램에 입력되어 쌍정의 변형률, 평균 두께, 치밀도 및 고응력장의 상대적 크기 및 방향 등을 계산하였다. 쌍정의 변형률은 1.09~15.36%, 평균 두께는 0.53~3.72 ㎛, 치밀도는 21.0~53.1 twin/mm의 범위를 보인다. 쌍정의 변형률, 치밀도 및 두께에 의한 변성온도 계산결과 대부분의 시료에서 170~200℃ 이하를 보여, 풍촌층의 상부층인 직운산층의 변성온도에 비교할 때 최대 심도의 절반 이상 상승한 후에 쌍정이 생성된 것으로 판단된다. 응력장의 방향은 5개의 시료에서 2방향을 보이는 반면, 단지 1개의 시료에서만 한 방향을 보여 대부분의 시료에서 압축응력이 2번 이상 작용하였음을 보여준다. 압축응력은 WNW-ESE~ENE-WSW의 방향성이 가장 우세하고 NW-SE와 NE-SW의 방향성도 보인다. 본 연구에서 측정된 고응력장과 연구지역 인근에서 지질구조나 다른 방법에 의하여 규명된 고응력장과 비교할 때 E-W 방향의 고응력장은 트라이아스기 말에서 쥬라기 초에 발생한 송림조산운동에 가장 큰 압축응력이 작용하였고 쥬라기에 발생한 대보조산운동과 불국사 변동에 의해서도 쌍정이 생성된 것으로 판단된다.

원형 다공 평판의 면내 유효 물성치 계산 (Evaluation of In-Plane Effective Properties of Circular-Hole Perforated Sheet)

  • 정일섭
    • 한국정밀공학회지
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    • 제21권1호
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    • pp.181-188
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    • 2004
  • Structural analysis for materials containing regularly spaced in-homogeneities is usually executed by using averaged material properties. For the homogenization process, a unit cell is defined and loaded somehow, and its response is investigated to evaluate the properties. The imposed loading conditions should accord to the behavior of unit cell immersed in the macroscopic structure in order to guarantee the accuracy of the effective properties. Each unit cell shows periodic variation of strain if the material is loaded uniformly, and in this study, direct implementation of this characteristic behavior is attempted on FE models of unit cell. Conventional finite element analysis tool can be used without any modification, and the boundary of unit cell is constrained in a way that the periodicity is satisfied. The proposed method is applicable to skew arrayed in-homogeneity problems. The flexibility matrix relating tonsorial stress and strain components in skewed rectilinear coordinate system is transformed so that the required engineering constants can be evaluated. Effective properties are computed for the materials with square and skew arrayed circular holes, and its accuracy is examined.

프레팅 피로를 받는 Ti-6Al-4V의 결정소성 시뮬레이션 (Crystal Plasticity Simulation of Ti-6Al-4V Under Fretting Fatigue)

  • 고충현;이기석;고준빈
    • 대한기계학회논문집A
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    • 제29권4호
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    • pp.511-517
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    • 2005
  • Fretting fatigue is often the root cause of the nucleation of cracks at attachments of structural components. Since fretting fatigue damage accumulation occurs over relatively small volumes, the subsurface cyclic plastic strain is expected to be rather non-uniformly distributed in polycrystalline materials. The scale of the cyclic plasticity and the damage process zones is often on the order of microstructure dimensions. Fretting damage analyses using cyclic crystal plasticity constitutive models have the potential to account for the influence of size, morphology, and crystallographic orientation of grains on fretting damage evolution. Two-dimensional plane strain simulations of fretting fatigue are performed using the cyclic properties of Ti-6Al-4V. The crystal plasticity simulations are compared to an initially isotropic $J_{2}$ theory with nonlinear kinematic hardening as well as to experiments. The influence of initially isotropic versus textured microstructure in the presence of crystallographic slip is studied.