• 제목/요약/키워드: Plane Strain

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한계상태방정식에 의한 R/C 전단벽의 유한요소 간편 해석과 설계 (Simplified Analysis and Design with Finite Element for Reinforced Concrete Shear Walls Using Limit State Equations)

  • 박문호;조창근;이승기
    • 한국전산구조공학회논문집
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    • 제16권1호
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    • pp.43-52
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    • 2003
  • 본 논문은 콘크리트 균열방향의 회전 및 철근의 항복에 따른 2차원 R/C 구조물의 극한거동 덴 한계상태설계에 관한 연구를 다룬 것으로, 유한요소모델에 적용하여 비선형 해석 및 한계상태설계가 가능한 수치 해석 및 설계 알고리즘을 소개하였다. 철근의 설계를 위하여, 각 유한요소의 극한거동에 기초한 한계상태설계방정식이 유한요소 알고리즘에 도입되었다. 한편, 하중에 따른 콘크리트 균열방향의 회전 및 철근의 항복을 고려한 2차원 R/C 평면요소의 단순화된 실용적 비선형 응력-변형률 거동의 구성관계모델을 제시하여 비선형 유한요소해석 알고리즘을 구성하였다 제시된 해석 모델을 R/C 전단벽의 실험모델과 비교하여 검증하도록 하였으며, R/C 전단벽에 대한 설계 예를 통하여, 각각의 유한요소에서 얻어진 설계 철근비를 한계상태설계방정식으로부터 산정하였다.

Bi-axial and shear buckling of laminated composite rhombic hypar shells

  • Chaubey, Abhay K.;Raj, Shubham;Tiwari, Pratik;Kumar, Ajay;Chakrabarti, Anupam;Pathak, K.K.
    • Structural Engineering and Mechanics
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    • 제74권2호
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    • pp.227-241
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    • 2020
  • The bi-axial and shear buckling behavior of laminated hypar shells having rhombic planforms are studied for various boundary conditions using the present mathematical model. In the present mathematical model, the variation of transverse shear stresses is represented by a second-order function across the thickness and the cross curvature effect in hypar shells is also included via strain relations. The transverse shear stresses free condition at the shell top and bottom surfaces are also satisfied. In this mathematical model having a realistic second-order distribution of transverse shear strains across the thickness of the shell requires unknown parameters only at the reference plane. For generality in the present analysis, nine nodes curved isoparametric element is used. So far, there exists no solution for the bi-axial and shear buckling problem of laminated composite rhombic (skew) hypar shells. As no result is available for the present problem, the present model is compared with suitable published results (experimental, FEM, analytical and 3D elasticity) and then it is extended to analyze bi-axial and shear buckling of laminated composite rhombic hypar shells. A C0 finite element (FE) coding in FORTRAN is developed to generate many new results for different boundary conditions, skew angles, lamination schemes, etc. It is seen that the dimensionless buckling load of rhombic hypar increases with an increase in c/a ratio (curvature). Between symmetric and anti-symmetric laminations, the symmetric laminates have a relatively higher value of dimensionless buckling load. The dimensionless buckling load of the hypar shell increases with an increase in skew angle.

Test and simulation of circular steel tube confined concrete (STCC) columns made of plain UHPC

  • Le, Phong T.;Le, An H.;Binglin, Lai
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.643-657
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    • 2020
  • This study presents experimental and numerical investigations on circular steel tube confined ultra high performance concrete (UHPC) columns under axial compression. The plain UHPC without fibers was designed to achieve a compressive strength ranged between 150 MPa and 200 MPa. Test results revealed that loading on only the UHPC core can generate a significant confinement effect for the UHPC core, thus leading to an increase in both strength and ductility of columns, and restricting the inherent brittleness of unconfined UHPC. All tested columns failed by shear plane failure of the UHPC core, this causes a softening stage in the axial load versus axial strain curves. In addition, an increase in the steel tube thickness or the confinement index was found to increase the strength and ductility enhancement and to reduce the magnitude of the loss of load capacity. Besides, steel tube with higher yield strength can improve the post-peak behavior. Based on the test results, the load contribution of the steel tube and the concrete core to the total load was examined. It was found that no significant confinement effect can be developed before the peak load, while the ductility of post-peak stage is mainly affected by the degree of the confinement effect. A finite element model (FEM) was also constructed in ABAQUS software to validate the test results. The effect of bond strength between the steel tube and the UHPC core was also investigated through the change of friction coefficient in FEM. Furthermore, the mechanism of circular steel tube confined UHPC columns was examined using the established FEM. Based on the results of FEM, the confining pressures along the height of each modeled column were shown. Furthermore, the interaction between the steel tube and the UHPC core was displayed through the slip length and shear stresses between two surfaces of two materials.

공간곡선보요소에서의 감차최소화 이론 (Reduced Minimization Theory in Skew Beam Element)

  • 문원주;김용우;민옥기;이강원
    • 대한기계학회논문집A
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    • 제20권12호
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    • pp.3792-3803
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    • 1996
  • Since the skew beam element has two curvatures which are a curvature and a torsion, spatial behavior of curved beam which cannot be included in one plane can be anlayzed by emploting the skew beam element. The $C^{0}$-continuous skew beam element shows the stiffness locking phenomenon when full integration is employed. The locking phenomenpn is characterized by two typical phenomena ; one is the much smaller displacement thant the exact one and theother is the undelation phenomenon is stress distribution. In this paper, we examine how unmatched coefficient in the constrained energy brings about the locking by Reduced Minimization theory. We perform the numerical ones. These comparisons show that uniformly full integration(UFI), which employs full integration for the constrained energy, entails the locking phenomenon. But the use of uniformly reduced integration(URI) of selectively reduced integration(SRI), which employs reduced integration for constrained energy, does not produce the significant errors of displacements of the undulation phenomenon in stress distribution since they do not entails the locking, Additionally, the error due to the approximated parameters for describing the geometry of skew beam is examined.d.

Numerical Simulation of an Impinging Jet with Various Nozzle-to-strip Distances in the Air-knife System

  • So, Hong-Yun;Yoon, Hyun-Gi;Chung, Myung-Kyoon
    • Corrosion Science and Technology
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    • 제9권6호
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    • pp.239-246
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    • 2010
  • When galvanized steel strip is produced through a continuous hot-dip galvanizing process, the thickness of the adhered zinc film is controlled by impinging a thin plane nitrogen gas jet. The thickness of the zinc film is generally affected by impinging pressure distribution, its gradient and shearing stress at the steel strip. These factors are influenced by static pressure of gas spraying at air knife nozzle, a nozzle-to-strip distance and strip and a geometric shape of the air knife, as well. At industries, galvanized steel strip is produced by changing static pressure of gas and a distance between the air knife nozzle and strip based on experimental values but remaining a geometric shape of nozzle. Splashing and check-mark strain can generally occur when a distance between the air knife nozzle and strip is too short, while ability of zinc removal can lower due to pressure loss of impinging jet when a distance between the air knife nozzle and strip is too long. In present study, buckling of the jet and change of static pressure are observed by analyzing flow characteristics of the impinging jet. The distance from the nozzle exit to the strip varies from 6 mm to 16 mm by an increment of 2 mm. Moreover, final coating thickness with change of a distance between the air knife nozzle and strip is compared with each case. An ability of zinc removal with the various distances is predicted by numerically calculating the final coating thickness.

Time dependent finite element analysis of steel-concrete composite beams considering partial interaction

  • Dias, Maiga M.;Tamayo, Jorge L.P.;Morsch, Inacio B.;Awruch, Armando M.
    • Computers and Concrete
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    • 제15권4호
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    • pp.687-707
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    • 2015
  • A finite element computer code for short-term analysis of steel-concrete composite structures is extended to study long-term effects under service loads, in the present work. Long-term effects are important in engineering design because they influence stress and strain distribution of the structural system and therefore contribute to the increment of deflections in these structures. For creep analysis, a rheological model based on a Kelvin chain, with elements placed in series, was employed. The parameters of the Kelvin chain were obtained using Dirichlet series. Creep and shrinkage models, proposed by the CEB FIP 90, were used. The shear-lag phenomenon that takes place at the concrete slab is usually neglected or not properly taken into account in the formulation of beam-column finite elements. Therefore, in this work, a three-dimensional numerical model based on the assemblage of shell finite elements for representing the steel beam and the concrete slab is used. Stud shear connectors are represented for special beam-column elements to simulate the partial interaction at the slab-beam interface. The two-dimensional representation of the concrete slab permits to capture the non-uniform shear stress distribution in the horizontal plane of the slab due to shear-lag phenomenon. The model is validated with experimental results of two full-scale continuous composite beams previously studied by other authors. Results are given in terms of displacements, bending moments and cracking patterns in order to shown the influence of long-term effects in the structural response and also the potentiality of the present numerical code.

$Al_{18}B_4O_{33}$휘스커 강화 금속기 복합재료의 파괴인성에 관한 연구 (A Study on Fracture Toughness of Metal Matrix Composites Reinforced with $Al_{18}B_4O_{33}$)

  • 박성호;최용범;박원조;허선철;윤한기
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.335-340
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    • 2002
  • In recent years, the study of metal matrix composite has increased specially, aluminum alloy, research and development are briskly progress to find new metal matrix composite. this study is following the this purpose; This study is used metal matrix composite that was produced by matrix, AC4CH. and reinforcement $A_{18}B_4O_{33}$ metal matrix composite to add $Al_2O_3,\;TiO_2$ for strengthen of binding together among the Whisker. Each Metal matrix composite is produced using the squeeze casting method. Fracture tounghness test was in accordance with the provisions of ASTM E399; Specimen was produced half-size CT specimen W=25mm, B=12.5mm, Cross head speed 0.05mm/min in room temperature. The plane strain fracture toughness $K_{IC}$ is $8.7MPa-m^{0.5}$ for $Al_{18}B_4O_{33}$/AC4CH., $9.28MPa-m^{0.5}$ for $Al_{18}B_4O_{33}$/AC4CH added $TiO_2$. and $Al_2O_3$ but AC4CH alloy was violated the critical stipulated by ASTM standard for a valid measurement of $K_{IC}$. In case of, it was performed $I_{IC}$ test instead of $K_{IC}$ based on ASTM E 1820

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ABOw/AC4CH의 바인더 종류에 따른 파괴인성 및 미끄럼마모 특성 (Fracture Toughness and Slinding Wear Properties of ABOw/AC4CH by Binder Additives)

  • 박원조;정재욱;최용범;이광영
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.373-378
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    • 2002
  • Metal matrix composites have a great interest in recent years because high specific strength, high specific stiffness characteristics, and application ranges of the composites are extend to variety industry. In this paper, an investigation was performed on the plane strain fracture toughness and slinding wear properties of AC4CH alloy(Al-Si-Mg line) reinforced with 20wt% aluminum borate whisker expect one, which contained a inorganic binder($TiO_2$). the binder led to the formation of strengthen the whisker each other. The test of fracture toughness was using CT(half size) specimen of thickness 12.5mm, width 25mm. and test of slinding wear of using tribo a pin-on-disk machine and lubricant is used without paraffine 8.2CST at room temperature. As results, Fracture toughness $K_{IC}$ is $8.7MPa-m^{05}$ for ABOw/AC4CH, $9.28MPa-m^{05}$ for ABOw/AC4CH added $TiO_2$. but AC4CH alloy was violated the critical stipulated by ASTM standard for valid measurement of $K_{IC}$. In case of, it was performed $J_{IC}$ test instead of $K_{IC}$ based on ASTM E 1820.

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Simulation of tissue differentiation around acetabular cups: the effects of implant-bone relative displacement and polar gap

  • Mukherjee, Kaushik;Gupta, Sanjay
    • Advances in biomechanics and applications
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    • 제1권2호
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    • pp.95-109
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    • 2014
  • Peri-acetabular bone ingrowth plays a crucial role in long-term stability of press-fit acetabular cups. A poor bone ingrowth often results in increased cup migration, leading to aseptic loosening of the implant. The rate of peri-prosthetic bone formation is also affected by the polar gap that may be introduced during implantation. Applying a mechano-regulatory tissue differentiation algorithm on a two-dimensional plane strain microscale model, representing implant-bone interface, the objectives of the study are to gain an insight into the process of peri-prosthetic tissue differentiation and to investigate its relationship with implant-bone relative displacement and size of the polar gap. Implant-bone relative displacement was found to have a considerable influence on bone healing and peri-acetabular bone ingrowth. An increase in implant-bone relative displacement from $20{\mu}m$ to $100{\mu}m$ resulted in an increase in fibrous tissue formation from 22% to 60% and reduction in bone formation from 70% to 38% within the polar gap. The increase in fibrous tissue formation and subsequent decrease in bone formation leads to weakening of the implant-bone interface strength. In comparison, the effect of polar gap on bone healing and peri-acetabular bone ingrowth was less pronounced. Polar gap up to 5 mm was found to be progressively filled with bone under favourable implant-bone relative displacements of $20{\mu}m$ along tangential and $20{\mu}m$ along normal directions. However, the average Young's modulus of the newly formed tissue layer reduced from 2200 MPa to 1200 MPa with an increase in polar gap from 0.5 mm to 5 mm, suggesting the formation of a low strength tissue for increased polar gap. Based on this study, it may be concluded that a polar gap less than 0.5 mm seems favourable for an increase in strength of the implant-bone interface.

평면프레임 구조의 개선된 좌굴설계 (Improved Stability Design of Plane Frame Members)

  • 김문영;송주영;경용수
    • 한국강구조학회 논문집
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    • 제18권2호
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    • pp.225-237
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    • 2006
  • 김 등(2005a, b)의 연구를 확장시켜 시스템 좌굴 고유치해석법을 이용한 유효좌굴길이 산정법과 2차 탄성해석기법을 이용한 2차모멘트를 이용하여 축력과 휨모멘트를 받는 라멘구조의 보-기둥부재에 대한 개선된 좌굴설계법을 제안한다. 이를 위하여 먼저 국내도로교설계기준, AISC-LRFD, SRC의 각 설계기준에 제시된 내하력 기준식을 이용하여 응력-변형율 관계를 유도하고, 이를 이용한 탄성 및 비탄성 좌굴 고유치해석을 이용한 유효좌굴길이 산정법을 고찰한다. 또한 라멘구조에 대하여 AISC-LRFD에서 제시하고 있는 좌굴 안정성 검토식과 본 연구에서 제시하는 안정성 검토식을 해석예제를 통하여 비교, 검토를 행한다.