• 제목/요약/키워드: Plane strain compression

검색결과 105건 처리시간 0.024초

Compression failure and fiber-kinking modeling of laminated composites

  • Ataabadi, A. Kabiri;Ziaei-Rad, S.;Hosseini-Toudeshky, H.
    • Steel and Composite Structures
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    • 제12권1호
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    • pp.53-72
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    • 2012
  • In this study, the physically-based failure models for matrix and fibers in compression and tension loading are introduced. For the 3D stress based fiber kinking model a modification is proposed for calculation of the fiber misalignment angle. All of these models are implemented into the finite element code by using the advantage of damage variable and the numerical results are discussed. To investigate the matrix failure model, purely in-plane transverse compression experiments are carried out on the specimens made by Glass/Epoxy to obtain the fracture surface angle and then a comparison is made with the calculated numerical results. Furthermore, shear failure of $({\pm}45)_s$ model is investigated and the obtained numerical results are discussed and compared with available experimental results. Some experiments are also carried out on the woven laminated composites to investigate the fracture pattern in the matrix failure mode and shown that the presented matrix failure model can be used for the woven composites. Finally, the obtained numerical results for stress based fiber kinking model and improved ones (strain based model) are discussed and compared with each other and with the available results. The results show that these models can predict the kink band angle approximately.

Analytical model for high-strength concrete columns with square cross-section

  • Campione, G.
    • Structural Engineering and Mechanics
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    • 제28권3호
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    • pp.295-316
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    • 2008
  • In the present paper a mechanical model to predict the compressive response of high strength short concrete columns with square cross-section confined by transverse steel is presented. The model allows one to estimate the equivalent confinement pressures exercised by transverse steel during the loading process taking into account of the interaction of the stirrups with the inner core both in the plane of the stirrups and in the space between two successive stirrups. The lateral pressure distributions at hoop levels are obtained by using a simple model of elastic beam on elastic medium simulating the interaction between stirrups and concrete core, including yielding of steel stirrups and damage of concrete core by means of the variation in the elastic modulus and in the Poisson's coefficient. Complete stress-strain curves in compression of confined concrete core are obtained considering the variation of the axial forces in the leg of the stirrup during the loading process. The model was compared with some others presented in the literature and it was validated on the basis of the existing experimental data. Finally, it was shown that the model allows one to include the main parameters governing the confinement problems of high strength concrete members such as: - the strength of plain concrete and its brittleness; - the diameter, the pitch and the yielding stress of the stirrups; - the diameter and the yielding stress of longitudinal bars; - the side of the member, etc.

평면 변형률 상태에서의 모래의 변형 강도특성의 구속압 의존성 (Confining Pressure-Dependency on Deformation and Strength Properties of Sands in Plane Strain Compression)

  • 박춘식;타츠오카 후미오;장정욱;정성교
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.543-552
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    • 1994
  • 본 연구는 공중낙하법으로 만든 공기건조 상태의 일본의 표준사인 풍포사(豊浦砂)(Toyoura sand)와 영국의 표준사인 Silver Leighton Buzzard sand 공시체를 배수상태에서 평면 변형율 압축시험을 실시하여, 구속압이 모래의 변형 강도특성에 미치는 영향을 조사하였다. 축방향 변위와 수평방향의 변위는 변형율수준(strain level) $10^{-6}$에서 파괴상태까지를 연속적으로 구할 수 있는 장치를 사용하여 정도 높게 측정함으로써 미소변형에서 파괴상태까지의 응력 변형율 특성을 상세히 연구하였다. 그 결과, 극저구속압에서는 구속압이 작아져도 내부마찰각 ${\sigma}^{\prime}{_{max}}=arcsin\{({\sigma}{_1}^{\prime}-{\sigma}{_3}^{\prime})/({\sigma}{_1}^{\prime}+{\sigma}{_3}^{\prime})\}_{max}$가 급격히 크게 되지는 않아, Bolton의 경험식을 사용할 시는 어느 정도 구속압이 클 때만 적용 가능하다는 것을 알았다. 또, 모래의 강성률은 근사적으로 구속압의 m승에 비례하는데(G or $E{\propto}{\sigma}{_3}^{{\prime}m}$), 이때 m은 변형율수준 $10^{-4}$이하에서는 약 0.4 정도이고 변형율=$10^{-1}$에서는 $m{\fallingdotseq}0.9$ 정도이었다. 이러한 경향은 모래의 종류, 혹은 시험종류에 따라 거의 변화하지 않음을 알았다. 이것은 구속압이 작을수록 강성률의 변형율수준 의존성, 응력수준 의존성이 크게 되는 것과 대응한다. 끝으로, Rowe의 응력-다이러턴시 관계는 미소 변형율수준($10^{-4}$ 이하)에서 파괴까지 거의 직선적으로 성립하고, 구속압의 영향을 거의 받지 않는다는 것을 알았다.

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Compressibility of Changi sand in K0 consolidation

  • Wanatowski, D.;Chu, J.;Gan, C.L.
    • Geomechanics and Engineering
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    • 제1권3호
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    • pp.241-257
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    • 2009
  • The one-dimensional compressibility of sand is an important property for the estimation of settlement or deformation of sand deposits. The $K_0$ value of sand is also an important design parameter. Experimental results are presented in this paper to study the compressibility of sand in $K_0$ consolidation tests. The $K_0$ consolidation tests were carried out using a triaxial cell and a plane-strain apparatus. Specimens prepared using both the moist tamping and the water sedimentation methods were tested. The testing data demonstrate that the type of testing apparatus does not affect the $K_0$ measurement if proper boundary conditions are imposed in the tests. The data also show that the compressibility and the $K_0$ value of loose sand specimens prepared using the moist tamping method are very sensitive to the variation of void ratio. The $K_0$ values measured from these tests do not agree with the $K_0$ values calculated from Jaky's equation. The compressibility and $K_0$ values of sand obtained from tests on specimens prepared using different preparation methods are different which may reflect the influence of soil fabrics or structures on the one dimensional compression behavior of sand.

속도 독립성 결정소성모델의 유한요소해석 (Finite Element Analysis for Rate-Independent Crystal Plasticity Model)

  • 하상렬;김기태
    • 대한기계학회논문집A
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    • 제33권5호
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    • pp.447-454
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    • 2009
  • Rate-independent crystal plasticity model suffers from the non-uniqueness of activated slip systems and the determination of the shear slip rates on the active slip systems. In this paper, a time-integration algorithm which circumvents the problem of the multiplicity of the slip systems was developed and implemented into the user subroutine VUMAT of a commercial finite element program ABAQUS. The magnitude of the slip shears on the active slip systems in f.c.c Cu single crystal aligned with the specific crystallographic orientation was investigated to validate our solution procedure. Also, texture developments under various deformation modes such as simple compression, simple tension and plane strain compression were compared with the results of the rate-dependent model by using the rate-independent crystal plasticity model. The computation time employing the rate-independent model is much more reduced than the those of the rate-dependent model.

3차원 결정소성 유한요소해석을 통한 변형 집합조직 예측 (Prediction of Deformation Texture Based on a Three-Dimensional Crystal Plasticity Finite Element Method)

  • 정경환;김동규;임용택;이용신
    • 소성∙가공
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    • 제21권4호
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    • pp.252-257
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    • 2012
  • Crystallographic texture evolution during forming processes has a significant effect on the anisotropic flow behavior of crystalline material. In this study, a crystal plasticity finite element method (CPFEM), which incorporates the crystal plasticity constitutive law into a three-dimensional finite element method, was used to investigate texture evolution of a face-centered-cubic material - an aluminum alloy. A rate-dependent polycrystalline theory was fully implemented within an in-house program, CAMPform3D. Each integration point in the element was considered to be a polycrystalline aggregate consisting of a large number of grains, and the deformation of each grain in the aggregate was assumed to be the same as the macroscopic deformation of the aggregate. The texture evolution during three different deformation modes - uniaxial tension, uniaxial compression, and plane strain compression - was investigated in terms of pole figures and compared to experimental data available in the literature.

층간응력의 효과를 고려한 단일방향 900복합재 적층보의 진동감쇠 해석 (Vibraion Damping Analysis in $90^0$ Laminated Beam Considering the Effect of Interlaminar Stess)

  • 임종휘
    • 대한기계학회논문집A
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    • 제24권5호
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    • pp.1261-1270
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    • 2000
  • This paper is concerned with the development of a general model for predicting material damping in laminates based on the strain energy method. In this model, the effect of interlaminar stress on damping is taken into accounts along with those of in-plane extension/compression and in-plane shear. The model was verified by carrying out the damping measurements on $90^0$ unidirectional composite beams varying length and thickness. The analytical predictions were favorably compared with the experimental data. The transverse shear($$\sigma$_{yz}$) appears to have a considerable influence on the damping behaviors in $90^0$ unidirectional polymer composites. However, the other interlaminar stresses($$\sigma$_{xz}$, $$\sigma$_z$) were shown to have little impact on vibration damping in $90^0$ laminated composite beam.

입방체 점토시료에 대한 압밀 비배수 삼축압축 및 평면변헝률 시험 (Consolidated Undrained Triaxial on Cubical Compression and Plane Clay Specimen)

  • 박경기;이강일
    • 한국지반공학회지:지반
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    • 제10권3호
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    • pp.41-54
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    • 1994
  • 본 문은 입방체 삼축시험기에 의한 점토지반의 특성을 연구하기 위하여 Lade형의 삼축시험기를 시험제작하여 그 특성을 논하고 이 시험기를 이용하여 점성토에 대해서 압밀 비배수 시험과 평면변형률의 실험결과를 바탕으로 입방체 시료와 평면변형률 상태의 시료에 대해서 축차응력, 간극수압, 응력경로 등에 대해서 상호 비교한 것이다.

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입방체형삼축시험에 의한 모래의 3차원거동 및 예측 (Three Demensional Behavior of Sand in Cubical Triaxial Tests and Its Prediction)

  • 남정만;홍원표
    • 한국지반공학회지:지반
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    • 제10권3호
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    • pp.111-118
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    • 1994
  • A series of drained cubical triaxial tests was performed to investigate the finfluence of the intermediate principal stress on the deformation and strength characteristics of sand. Test results showed that the strength of sand as represented by the friction angle increased from triaxial compression condition (b:0) with increasing magnitude of the intermediate principal stress until the vus of b reached 0.75, land it decreased slightly with closing to b= 1. Also it was found that the projection of the plastic strain increment vector on the octahedral plane was perpendicular to the trace of the failure surface on that plane. The prediction by the isotropic single hardening model sllowed good coinidence with experimental results.

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자유분말금속 압축시 소성변형예측을 위한 구성방정식의 유도 (Derivation of constitutive equations of loose metal powder to predict plastic deformation in compaction)

  • 김진영;박종진
    • 대한기계학회논문집A
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    • 제22권2호
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    • pp.444-450
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    • 1998
  • In the present investigation, it is attempted to derive a yield function and associated flow rules of loose metal powders to predict plastic deformation and density change during compaction. The loose metal powders yield by shear stress as well as hydrostatic stress and the yield strength is much smaller in tension than compression. Therefore, a yield function for the powders is expressed as a shifted ellipse toward the negative direction in the hydrostatic stress axis in the space defined by the two stresses. Each of parameters A, B and .delta. used in the yield function is expressed as a function of relative density and it is determined by uniaxial strain and hydrostatic compressions using Cu powder. Flow rules obtained by imposing the normality rule to the yield function are applied to the analyses of unidirectional, bidirectional and hydrostatic compressions, resulting in an excellent agreement with experiments. The yield function is further examined by checking volume changes in plane stain, uniaxial strain and shear deformations.