• 제목/요약/키워드: Nonlinear Cracking of Concrete

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A tension stiffening model for analysis of RC flexural members under service load

  • Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Computers and Concrete
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    • 제17권1호
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    • pp.29-51
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    • 2016
  • Tension-stiffening is the contribution of concrete between the cracks to carry tensile stresses after cracking in Reinforced Concrete (RC) members. In this paper, a tension-stiffening model has been proposed for computationally efficient nonlinear analysis of RC flexural members subjected to service load. The proposed model has been embedded in a typical cracked span length beam element. The element is visualized to consist of at the most five zones (cracked or uncracked). Closed form expressions for flexibility and stiffness coefficients and end displacements have been obtained for the cracked span length beam element. Further, for use in everyday design, a hybrid analytical-numerical procedure has been developed for nonlinear analysis of RC flexural members using the proposed tension-stiffening model. The procedure yields deflections as well as redistributed bending moments. The proposed model (and developed procedure) has been validated by the comparison with experimental results reported elsewhere and also by comparison with the Finite Element Method (FEM) results. The procedure would lead to drastic reduction in computational time in case of large RC structures.

Nonlinear shear strength of pre-stressed concrete beams

  • Rahai, Alireza;Shokoohfar, A.
    • Structural Engineering and Mechanics
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    • 제41권4호
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    • pp.441-458
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    • 2012
  • The shear strength is an important factor in the design of prestressed concrete beams. Therefore, researchers have utilized various methods to determine the shear strength of these elements for the design purposes. To evaluate some of the proposed theoretical methods, numerous models of post-tensioned beams with or without vertical prestressing are selected and analyzed using the finite element method and assuming nonlinear behavior for the materials. In this regard the validity of modeling is evaluated based on some tests results. In the second part of the study two beam specimens are built and tested and their load-deformation curve and cracking pattern are studied. The analytical results consist of compressive strut slope and mid span load deflection are compared with some experimental results, and the results of some codes' formulas. Finally comparing the results of nonlinear analysis with the experimental values, a new formula is proposed for determining strut slopes in prestressed concrete beams.

인장강성 모델을 고려한 고강도 철근콘크리트 부재의 비선형 해석 (Nonlinear Analysis of High Strength Reinforced Concrete Members Considering the Tension Stiffening Model)

  • 홍창우;윤경구;김경진;박제선
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1999년도 학회창립 10주년 기념 1999년도 가을 학술발표회 논문집
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    • pp.479-482
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    • 1999
  • The tension stiffening effect, which means the maintaining a part of stiffness after cracking of concrete in tensile, exists at a reinforced concrete member because of the concrete softening and bonding stress between cracks. It is required to consider it for precise analysis and evaluation o structural behavior, due to the possibility of discrepancy between the actual behavior and the analysis without considering the tension stiffening effect. Making and adopting a tension stiffening model is the most simple and effective way for considering it at nonlinear analysis which indicated the estimation from models and experimental results were similar each others. The comparisons on RC beam were, also performed in order to analyzed the influence of concrete strength and steel ratio into the structural behavior. They indicated that the results from analysis estimated quite closely to the test results at low steel ratio, however, overestimated at high steel ratio. The overestimation increase linearly as concrete strength or steel ratio increased.

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Applied element method simulation of experimental failure modes in RC shear walls

  • Cismasiu, Corneliu;Ramos, Antonio Pinho;Moldovan, Ionut D.;Ferreira, Diogo F.;Filho, Jorge B.
    • Computers and Concrete
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    • 제19권4호
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    • pp.365-374
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    • 2017
  • With the continuous evolution of the numerical methods and the availability of advanced constitutive models, it became a common practice to use complex physical and geometrical nonlinear numerical analyses to estimate the structural behavior of reinforced concrete elements. Such simulations may yield the complete time history of the structural behavior, from the first moment the load is applied until the total collapse of the structure. However, the evolution of the cracking pattern in geometrical discontinuous zones of reinforced concrete elements and the associated failure modes are relatively complex phenomena and their numerical simulation is considerably challenging. The objective of the present paper is to assess the applicability of the Applied Element Method in simulating the development of distinct failure modes in reinforced concrete walls subjected to monotonic loading obtained in experimental tests. A pushover test was simulated numerically on three distinct RC shear walls, all presenting an opening that guarantee a geometrical discontinuity zone and, consequently, a relatively complex cracking pattern. The presence of different reinforcement solutions in each wall enables the assessment of the reliability of the computational model for distinct failure modes. Comparison with available experimental tests allows concluding on the advantages and the limitations of the Applied Element Method when used to estimate the behavior of reinforced concrete elements subjected to monotonic loading.

온도의존성 열특성 계수를 고려한 화재에 노출된 철근콘크리트 골조의 해석적 연구 (Temperature-Dependency Thermal Properties and Transient Thermal Analysis of Structural Frames Exposed to Fire)

  • 한병찬;권영진;김재환;신영수;최은규
    • 콘크리트학회논문집
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    • 제19권3호
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    • pp.283-292
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    • 2007
  • 본 연구는 화재에 노출된 철근콘크리트 구조물의 열적 특성 및 구조 거동을 예측할 수 있는 비정상 온도 분포 해석 및 비선형 유한요소해석 기법 개발에 관한 것으로써, 범용 유한요소해석 프로그램인 DIANA를 이용하여 화재에 의한 고온을 받는 철근콘크리트 구조에 대한 수치해석을 수행하고 그 결과를 비교분석하였다. 고온을 받는 철근콘크리트 골조에 대한 수치해석은 시간의존 비정상 온도 분포 해석과 비선형 유한요소해석의 2단계로 진행된다. 비정상 온도 분포 해석에서는 열전도율, 열용량, 열팽창계수에 대한 시간의존 변수를 온도 함수로 표현하여 이를 고려하였으며, 비선형 유한요소해석에 있어서는 콘크리트의 비선형성과 균열을 고려하기 위하여 파괴 역학적 관점을 도입하였다. 또한 철근콘크리트 단순보에 대한 내화 실험을 실시하여, 재료의 열적 특성 및 해석 기법에 대한 검증을 실시하였다. 이러한 해석 기법을 철근콘크리트 골조로 확장하여 열에 의한 콘크리트 및 철근의 역학적 물성 변화 요인을 고려한 해석을 통하여 각각의 변수에 대한 비교 분석을 수행하였다. 본 연구에서의 고온 환경하의 철근콘크리트 구조물에 대한 비선형 유한요소해석기법은 온도에 따른 재료의 열적 특성 및 역학적 성능 및 화재-온도 곡선을 자유롭게 입력하여 고려할 수 있으며, 추후 관련 해석에 용이하게 사용될 수 있을 것으로 판단되었다.

An analytical-numerical procedure for cracking and time-dependent effects in continuous composite beams under service load

  • Chaudhary, Sandeep;Pendharkar, Umesh;Nagpal, A.K.
    • Steel and Composite Structures
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    • 제7권3호
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    • pp.219-240
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    • 2007
  • An analytical-numerical procedure has been presented in this paper to take into account the nonlinear effects of concrete cracking and time-dependent effects of creep and shrinkage in the concrete portion of the continuous composite beams under service load. The procedure is analytical at the element level and numerical at the structural level. The cracked span length beam element consisting of uncracked zone in middle and cracked zones near the ends has been proposed to reduce the computational effort. The progressive nature of cracking of concrete has been taken into account by division of the time into a number of time intervals. Closed form expressions for stiffness matrix, load vector, crack lengths and mid-span deflection of the beam element have been presented in order to reduce the computational effort and bookkeeping. The procedure has been validated by comparison with the experimental and analytical results reported elsewhere and with FEM. The procedure can be readily extended for the analysis of composite building frames where saving in computational effort would be very considerable.

Confinement effect on the behavior factor of dual reinforced concrete moment-resisting systems with shear walls

  • Alireza Habibi;Mehdi Izadpanah;Yaser Rahmani
    • Structural Engineering and Mechanics
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    • 제85권6호
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    • pp.781-791
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    • 2023
  • Lateral pressure plays a significant role in the stress-strain relationship of compressed concrete. Concrete's internal cracking resistance, ultimate strain, and axial strength are improved by confinement. This phenomenon influences the nonlinear behavior of reinforced concrete columns. Utilizing behavior factors to predict the nonlinear seismic responses of structures is prevalent in seismic codes, and this factor plays a vital role in the seismic responses of structures. This study aims to evaluate the confining action on the behavior factor of reinforced concrete moment resisting frames (RCMRFs) with shear walls (SWRCMRFs). To this end, a diverse range of mid-rise SW-RCMRFs was initially designed based on the Iranian national building code criteria. Second, the stress-strain curve of each element was modeled twice, both with and without the confinement phenomenon. Each frame was then subjected to pushover analysis. Finally, the analytical behavior factors of these frames were computed and compared to the Iranian seismic code behavior factor. The results demonstrate that confining action increased the behavior factors of SW-RCMRFs by 7-12%.

Nonlinear analysis and tests of steel-fiber concrete beams in torsion

  • Karayannis, Chris G.
    • Structural Engineering and Mechanics
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    • 제9권4호
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    • pp.323-338
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    • 2000
  • An analytical approach for the prediction of the behaviour of steel-fiber reinforced concrete beams subjected to torsion is described. The analysis method employs a special stress-strain model with a non-linear post cracking branch for the material behaviour in tension. Predictions of this model for the behaviour of steel-fiber concrete in direct tension are also presented and compared with results from tests conducted for this reason. Further in this work, the validation of the proposed torsional analysis by providing comparisons between experimental curves and analytical predictions, is attempted. For this purpose a series of 10 steel-fiber concrete beams with various cross-sections and steel-fiber volume fractions tested in pure torsion, are reported here. Furthermore, experimental information compiled from works around the world are also used in an attempt to establish the validity of the described approach based on test results of a broad range of studies. From these comparisons it is demonstrated that the proposed analysis describes well the behaviour of steel-fiber concrete in pure torsion even in the case of elements with non-rectangular cross-sections.

Finite element analysis of shear critical prestressed SFRC beams

  • Thomas, Job;Ramaswamy, Ananth
    • Computers and Concrete
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    • 제3권1호
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    • pp.65-77
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    • 2006
  • This study reports the details of the finite element analysis of eleven shear critical partially prestressed concrete T-beams having steel fibers over partial or full depth. Prestressed concrete T-beams having a shear span to depth ratio of 2.65 and 1.59 and failing in the shear have been analyzed using 'ANSYS'. The 'ANSYS' model accounts for the nonlinear phenomenon, such as, bond-slip of longitudinal reinforcements, post-cracking tensile stiffness of the concrete, stress transfer across the cracked blocks of the concrete and load sustenance through the bridging of steel fibers at crack interface. The concrete is modeled using 'SOLID65'-eight-node brick element, which is capable of simulating the cracking and crushing behavior of brittle materials. The reinforcements such as deformed bars, prestressing wires and steel fibers have been modeled discretely using 'LINK8' - 3D spar element. The slip between the reinforcement (rebar, fibers) and the concrete has been modeled using a 'COMBIN39'-non-linear spring element connecting the nodes of the 'LINK8' element representing the reinforcement and nodes of the 'SOLID65' elements representing the concrete. The 'ANSYS' model correctly predicted the diagonal tension failure and shear compression failure of prestressed concrete beams observed in the experiment. The capability of the model to capture the critical crack regions, loads and deflections for various types of shear failures in prestressed concrete beam has been illustrated.

PSC 뼈대의 3차원 비선형 해석을 위한 화이버 모델 요소 (Fibered Element for the Three-Dimensional Nonlinear Analysis of Prestressed Concrete Frames)

  • 이재석;최규천
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.195-201
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    • 2003
  • A fibered element for the material and geometric nonlinear analysis of three-dimensional reinforced and prestressed concrete frame is presented. The fibered frame element is idealized as an assemblage of concrete and reinforcing steel fibers in order to account for varied material properties within the cross section of the frame element through elastic, cracking and ultimated stages of materials. Prestressing tendon is modeled as an assemblage of multilinear prestressing steel segments each of which spans a frame element. The contribution of each prestressing steel is added directly to the fibered frame element. Numerical results from the ultimate analysis of three-dimensional PSC box girder are compared with those obtained from other investigator. The validity and the capability of the present nonlinear analysis model is well demonstrated.

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