• 제목/요약/키워드: assumed strain

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Soil-structure interaction effects on the seismic response of multistory frame structure

  • Botic, Amina;Hadzalic, Emina;Balic, Anis
    • Coupled systems mechanics
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    • 제11권5호
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    • pp.373-387
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    • 2022
  • In this paper,soil-structure interaction effects on the seismic response of multistory frame structure on raft foundation are numerically analyzed. The foundation soil profile is assumed to consists of a clay layer of variable thicknessresting on bedrock. Amodified plane-strain numerical model isformed in the software Plaxis, and both free vibration analysis, and earthquake analysis for a selected ground motion accelerogram are performed. The behavior of the structure is assumed to be linear elastic with Rayleigh viscous damping included. The behavior of the clay layer is modeled with a Hardening soil model with small strain stiffness. The computed results in terms of fundamental period and structural horizontal displacementsfor the case of fixed base and for different thicknesses of clay layer are presented, compared, and discussed.

Nonlinear Analysis of RC Structures using Assumed Strain RM Shell Element

  • Lee, Sang Jin
    • Architectural research
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    • 제16권1호
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    • pp.27-35
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    • 2014
  • Nonlinear analysis of reinforced concrete structures is carried out by using Reissner-Mindlin (RM) shell finite element (FE). The brittle inelastic characteristic of concrete material is represented by using the elasto-plastic fracture (EPF) material model with the relevant material models such as cracking criteria, shear transfer model and tension stiffening model. In particular, assumed strains are introduced in the formulation of the present shell FE in order to avoid element deficiencies inherited in the standard RM shell FE. The arc-length control method is used to trace the full load-displacement path of reinforced concrete structures. Finally, four benchmark tests are carried out and numerical results are provided as future reference solutions produced by RM shell element with assumed strains.

평판용접에 관한 평면변형 열탄소성 해석 (The Plane-Deformation Thermal Elasto-Plastic Analysis During Welding of Plate)

  • 방한서;한길영
    • 한국해양공학회지
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    • 제8권1호
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    • pp.33-40
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    • 1994
  • Welding of structure produces welding residual stresses which influence buckling strength, brittle fracture strength and cold crack on the weld parts. Therefore, it is very important to accurately analyze the residual stress before welding in order to guarantee the safety of weldment. If the weld length is long enough compared to the thickness and the breadth of plate, thermal and mechanical behaviors in the middle portion of the plate are assumed to be uniform along the thickness direction(z-axis). Thus, the following conditions(so-called plane deformation) can be assumed for the plate except near its end;1) distributions of stress and strain are independent on the z-axis;2) plane normal to z-axis before deformation remains plane during and after deformation. In this paper, plane-deformation thermal elasto-plastic problem is formulated by being based on the finite element method. Moreover special regards and paid to the fact that material properties in elastic and plastic region are temperature-dependence. And the method to solve the plane-deformation thermal elasto-plastic problem is shown by using the incremental technique. From the results of analysis, the characterisics of distribution of welding residual stress and plastic strain with the production mechanism are clarified.

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An element-based 9-node resultant shell element for large deformation analysis of laminated composite plates and shells

  • Han, S.C.;Kim, K.D.;Kanok-Nukulchai, W.
    • Structural Engineering and Mechanics
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    • 제18권6호
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    • pp.807-829
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    • 2004
  • The Element-Based Lagrangian Formulation of a 9-node resultant-stress shell element is presented for the isotropic and anisotropic composite material. The effect of the coupling term between the bending strain and displacement has been investigated in the warping problem. The strains, stresses and constitutive equations based on the natural co-ordinate have been used throughout the Element-Based Lagrangian Formulation of the present shell element which offers an advantage of easy implementation compared with the traditional Lagrangian Formulation. The element is free of both membrane and shear locking behavior by using the assumed natural strain method such that the element performs very well in thin shell problems. In composite plates and shells, the transverse shear stiffness is defined by an equilibrium approach instead of using the shear correction factor. The arc-length control method is used to trace complex equilibrium paths in thin shell applications. Several numerical analyses are presented and discussed in order to investigate the capabilities of the present shell element. The results showed very good agreement compared with well-established formulations in the literature.

직접전단시험모델에 의한 뿌리말뚝의 탄소성조인트 유한요소해석 (Elasto-plastic Joint Finite Element Analysis of Root-pile Using the Direct Shear Test Model)

  • 한중근
    • 한국환경복원기술학회지
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    • 제5권4호
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    • pp.19-30
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    • 2002
  • The stability of slope using root-pile like to the reinforcements is affected by the interaction behavior mechanism of soil-reinforcements. Through the studying on the interaction in joint of its, therefore, the control roles can be find out in installed slope. In study, the stress level ratio based on the insert angle of installed reinforcements in soil used to numerical analysis, which was results from the duty direct shear test in Lab. The maximum shear strain variation on the reinforcements was observed at insert angle, which was approximately similar to the calculated angle based on the equation proposed by the Jewell. The elasto-plastic joint model on the contact area of soil-reinforcements was presumed, the reinforced soil assumed non-linear elastic model and the reinforcements supposed elastic model, respectively. The finite element analysis of assumed models was performed. The shear strain variation of non-reinforced state obtained by the FEM analysis including elasto-plastic joint elements were shown the rationality of general limit equilibrium analysis for the slope failure mode on driving zone and resistance zone, which based on the stress level step according to failure ratio. Through the variation of shear strain for the variation of inserting angle of reinforcements, the different mechanism on the bending and the shear resistance of reinforcements was shown fair possibility.

Seismic detailing of reinforced concrete beam-column connections

  • Kim, Jang Hoon;Mander, John B.
    • Structural Engineering and Mechanics
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    • 제10권6호
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    • pp.589-601
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    • 2000
  • A simplified analysis procedure utilizing the strut-tie modeling technique is developed to take a close look into the post-elastic deformation capacity of beam-column connections in ductile reinforced concrete frame structures. Particular emphasis is given to the effect of concrete strength decay and quantity and arrangement of joint shear steel. For this a fan-shaped crack pattern is postulated through the joints. A series of hypothetical rigid nodes are assumed through which struts, ties and boundaries are connected to each other. The equilibrium consideration enables all forces in struts, ties and boundaries to be related through the nodes. The boundary condition surrounding the joints is obtained by the mechanism analysis of the frame structures. In order to avoid a complexity from the indeterminacy of the truss model, it is assumed that all shear steel yielded. It is noted from the previous research that the capacity of struts is limited by the principal tensile strain of the joint panel for which the strain of the transverse diagonal is taken. The post-yield deformation of joint steel is taken to be the only source of the joint shear deformation beyond the elastic range. Both deformations are related by the energy consideration. The analysis is then performed by iteration for a given shear strain. The analysis results indicate that concentrating most of the joint steel near the center of the joint along with higher strength concrete may enhance the post-elastic joint performance.

Creep analysis of plates made of functionally graded Al-SiC material subjected to thermomechanical loading

  • Majid Amiri;Abbas Loghman;Mohammad Arefi
    • Advances in concrete construction
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    • 제15권2호
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    • pp.115-126
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    • 2023
  • This paper investigates creep analysis of a plate made of Al-SiC functionally graded material using Mendelson's method of successive elastic solution. All mechanical and thermal material properties, except Poisson's ratio, are assumed to be variable along the thickness direction based on the volume fraction of reinforcement and thickness. First, the basic relations of the plate are derived using the Love-Kirchhoff plate theory. The solution of governing equations yields an elastic solution to start creep analysis. The creep behavior is demonstrated through Norton's equation based on Pandey's experimental results extracted for Al-SiC functionally graded material. A linear variation is assumed for temperature distribution along the thickness direction. The creep strain, as well as the thermal strain, are included in the governing equations derived from classical plate theory for mechanical strain. A successive elastic solution based on Mendelson's method is employed to derive the history of stresses, strains, and displacements over a long time. History of stresses and deformations are obtained over a long time to predict damage to the plate because of various loadings, and material composition along the thickness and planar directions.

강화변형률 솔리드 요소를 사용한 사각형태 층간분리를 갖는 복합적층판의 탄성좌굴해석 (Elastic Buckling Analysis of Laminated Composite Plates with Embedded Square Delamination Using an Enhanced Assumed Strain Solid Element)

  • 박대용;장석윤
    • 복합신소재구조학회 논문집
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    • 제1권2호
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    • pp.1-13
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    • 2010
  • 복합적층구조의 층간분리현상은 탄성좌굴하중을 감소시키며 설계값보다 낮은 수준에서 전체구조물의 파괴를 유발한다. 따라서 복합적층구조의 층간분리 현상은 매우 중요한 문제이며 많은 이론과 실험적인 연구가 진행되어왔다. 본 연구에서는 3차원 이론을 사용한 효과적인 유한요소법에 기초하여 임베디드된 사각형 층간분리 현상을 갖는 복합적층판의 탄성좌굴 거동을 분석하였다. 해석을 위해 개발된 3차원 유한요소는 EAS-SOLID8이라고 이름 붙여졌으며 강화된 대체 변형률 방법을 사용하였다. 임베디드된 사각형 층간분리를 갖는 복합적층판의 탄성좌굴거동 분석을 위해 경계조건, 폭-두께비 변화에 대하여 매개변수 해석을 수행하였다. 본 연구의 그래프와 좌굴모드는 임베디드된 사각형 층간분리를 갖는 복합적층판의 설계에 매우 유용한 자료가 될 것으로 사료된다.

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PSC 교량의 3차원 시공 중 해석기법을 위한 가정된 변형률 쉘 요소 개발 (Development of an Assumed Strain Shell Element for the Three Dimensional Construction Stage Analysis of PSC Bridge)

  • 김기두;송삭;황현진;박재균
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권3호
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    • pp.108-117
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    • 2010
  • PSC 박스 교량의 시공 중 거동 특성을 고려하기 위하여 뼈대 요소를 이용한 시공단계의 설계가 수행되고 있다. 그러나 PSC 박스 교량 중 곡선 램프교 등의 경우는 교량의 외측 및 내측의 변위 및 응력 값이 현저히 다르다. 따라서 PSC 박스 교량의 텐던량 및 시공 중 긴장력이 외측 및 내측에서 다르게 산정되어야 함에도 불구하고 현실적으로는 계산이 불가능하여 같은 양의 텐던과 부적절한 긴장력을 사용하고 있어 시공 중 항상 안전사고에 노출되고 있다. 이러한 단점을 해결하기 위하여 3차원 해석이 필수적으로 요구되고 있으며 본 연구에서는 PSC 박스 교량의 해석 기법에 필요한 가정된 변형률 PSC 쉘 요소를 제안하고자 한다. 본 쉘요소에 사용된 콘크리트의 크리프 및 건조수축의 재료 모델은 ACI 코드를 사용하였으며, 이 모델을 이용하여 3차원 시공단계해석을 수행하고 그 결과를 뼈대 요소와 비교하였다.

선상가열시 강의 상변태를 고려한 개선된 고유변형도 기반의 등가하중법 (Developed Inherent Strain Method Considering Phase Transformation of Mild Steel in Line Heating)

  • 하윤석;장창두
    • 대한조선학회논문집
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    • 제41권6호
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    • pp.65-74
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    • 2004
  • The inherent strain method is known to be very efficient in predicting the deformation of steel plate by line heating. However, in the actual line heating process in shipyard, the rapid quenching changes the phase of steel. In this study, In order to consider additional effects under phase transformation, inherent strain regions were assumed to expand. Also, when calculating inherent strain, material properties of steel in heating and cooling are applied differently considering phase transformation. In this process, a new method which can reflect thermal volume expansion of martensite is suggested.8y the suggested method, it was possible to predict the plate deformations by line heating more precisely.