• 제목/요약/키워드: Nonlinear Cracking of Concrete

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계측 및 수치해석을 통한 터널 라이닝의 균열 원인 연구 (A study on the cracking of tunnel lining by measurement and numerical analysis)

  • 황학;정헌철;김유석
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2001년도 봄 학술발표회 논문집
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    • pp.33-40
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    • 2001
  • In this research, the cracking of tunnel concrete lining was investigated and analyzed through long-term measurement and nonlinear numerical analysis. For one year after the casting of lining, the stresses and strains were measured by the sensors installed in hard rock tunnel lining. The measurements showed that only small stresses which were less than cracking stress occurred in every survey sections regardless of sensor directions. It could be induced that the external load applied to the lining was small or ignorable. Also, it was carried out short-term numerical analysis based on such site condition as ambient temperature, the- degree of overbreak and mold staying period. Long-term numerical analysis based on creep & shrinkage and nonlinear cracking was carried out. The output showed that construction condition and ambient environments could make the lining concrete crack without external loads. The cracks formed in this process does not indicate the structural instability of the tunnel.

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Modelling inelastic hinges using CDM for nonlinear analysis of reinforced concrete frame structures

  • Rajasankar, J.;Iyer, Nagesh R.;Prasad, A. Meher
    • Computers and Concrete
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    • 제6권4호
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    • pp.319-341
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    • 2009
  • A new formulation based on lumped plasticity and inelastic hinges is presented in this paper for nonlinear analysis of Reinforced Concrete (RC) frame structures. Inelastic hinge behaviour is described using the principles of Continuum Damage Mechanics (CDM). Member formulation contains provisions to model stiffness degradation due to cracking of concrete and yielding of reinforcing steel. Depending on its nature, cracking is classified as concentrated or distributed. Concentrated cracking is accounted through a damage variable and its growth is defined based on strain energy principles. Presence of distributed flexural cracks in a member is taken care of by modelling it as non-prismatic. Plasticity theory supported by effective stress concept of CDM is applied to describe the post-yield response. Nonlinear quasi-static analysis is carried out on a RC column and a wide two-storey RC frame to verify the formulation. The column is subjected to constant axial load and monotonic lateral load while the frame is subjected to only lateral load. Computed results are compared with those due to experiments or other numerical methods to validate the performance of the formulation and also to highlight the contribution of distributed cracking on global response.

지진하중에 의한 철근콘크리트 전단벽의 강성 저하에 관한 연구 (Stiffness Degradation Induced by Seismic Loading on a RC Shear Wall)

  • 이윤
    • 한국구조물진단유지관리공학회 논문집
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    • 제26권3호
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    • pp.48-54
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    • 2022
  • 본 연구는 균열에 의한 콘크리트 전단벽 강성저하 영향 평가를 위해 수행되었으며, 극한 내지진 하중의 60%까지 재하한 비선형 해석 결과, 사전 균열효과에 의해 비손상 대비 진동수의 12%정도 진동수가 감소하였으며 강성 측면에서 23%정도의 감소현상을 나타냈다. 단계적으로 지진하중의 크기를 증가시킨 비선형 해석 결과, 지진하중의 세기가 커짐에 따라 콘크리트 전단벽체에 전단균열이 발생하여 진전함을 파악하고, 반복이력에 의한 에너지 손실과 강성 저하가 뚜렷하게 발생함을 알 수 있었다. 또한 두 가지 콘크리트 강도와 전단벽 제원에 대하여 지진하중의 크기가 극한 내지진 하중에 근접함에 따라 진동수의 감소량은 비손상 대비 10~40%정도로 나타났으며, 강성의 경우 비손상 대비 40%정도 수준까지 감소할 수 있는 것으로 나타났다.

콘크리트 인장강성이 철근콘크리트 보의 거동에 미치는 영향 (Effect of Tension Stiffering on the Behavior of Reinforced Concrete Beam)

  • 이봉학
    • 한국농공학회지
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    • 제41권4호
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    • pp.104-112
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    • 1999
  • Tensile behavior in concrete has been neglected until recently. However, the effect of tensile stresses in concrete must be considered where the member primarily carries tensile forces or when ultimate strength is affected by the cracking history. In this paper, a series of experiments were performed with a reinforced rectangular beams of 15 specimens in order to investigate the effect of tension stiffening into the nonlinear analysis and cracking behavior. The experimental results were analyzed in terms of load-deflection curves and strain fracture energy with respect to the main experimental variables such as types of specimen, strength of concrete and steel ration. The results from experiments and finite element analysis were compared in terms of load-deflection relationship and cracking pattern. The results are as follows ; The tension stffening effects of reinforced concrete beams were observedc up to yielding of members after cracking showing strain energy difference of 35 % at the beam of 0.57% steel ratio compared with that of beam ignoring the tension stiffening effect. The tension stiffening of concrete strength 400kgf/$\textrm{cm}^2$ and 600kgf/$\textrm{cm}^2$ increased by 8% and 13%, respectively, compared with that of concrete strength 200kgf/$\textrm{cm}^2$. The tension stiffening effects were greater at a ductile member rather than a brittle one. The load-deflection results of finite element analysis showed very similar results from experiment. The crack growth and pattern might be predicted from the nonlinear finite element analysis considering concrete stiffening.

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Layered finite element method in cracking and failure analysis of RC beams and beam-column-slab connections

  • Guan, Hong;Loo, Yew-Chaye
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.645-662
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    • 1997
  • A nonlinear semi-three-dimensional layered finite element procedure is developed for cracking and failure analysis of reinforced concrete beams and the spandrel beam-column-slab connections of flat plates. The layered element approach takes the elasto-plastic failure behaviour and geometric nonlinearity into consideration. A strain-hardening plasticity concrete model and a smeared steel model are incorporated into the layered element formulation. Further, shear failure, transverse reinforcement, spandrel beams and columns are successfully modelled. The proposed method incorporating the nonlinear constitutive models for concrete and steel is implemented in a finite element program. Test specimens including a series of reinforced concrete beams and beam-column-slab connections of flat plates are analysed. Results confirm the effectiveness and accuracy of the layered procedure in predicting both flexural and shear cracking up to failure.

Nonlinear finite element analysis of torsional R/C hybrid deep T-beam with opening

  • Lisantono, Ade
    • Computers and Concrete
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    • 제11권5호
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    • pp.399-410
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    • 2013
  • A nonlinear finite element analysis of R/C hybrid deep T-beam with web opening subjected to pure torsion is presented. Hexahedral 8-nodes and space truss element were used for modeling concrete and reinforcement. The reinforcement was assumed perfectly bonded to the corresponding nodes of the concrete element. The constitutive relations for concrete and reinforcement are based on the modified field theory and elastic perfectly plastic. The smear crack approach was adopted for modeling the crack. The torque-twist angle relationship curve based on the finite element analysis was compared to the experimental results. The comparison shows that the curve of torque-twist angle predicted by the nonlinear finite element analysis is linear before cracking and close to the experimental result. After cracking, the curve becomes nonlinear and stiffer compared to the experimental result.

원전 격납건물 비선형 해석을 위할 콘크리트 재료모델 개발 (Development of Concrete Material Model for Nonlinear Analysis of Nuclear Containment Building)

  • 이홍표;전영선;서정문;신재철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 가을 학술발표회 논문집
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    • pp.312-319
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    • 2004
  • This paper is mai y focused to develop new concrete material model such as ultimate failure surface in compression-compression region, hardening rule and cracking criteria which are basically used in the nonlinear finite element analysis of nuclear prestressed concrete containment building. From the Kepri's experimental results, failure surface of the concrete based on the elasto-plastic material model is modified and new cracking criteria is proposed. Nonlinear FE analysis program using a new material model is implemented to analysis plane concrete. Finally, numerical simulation to compare the performance of the new material model with experimental results is employed. The numerical results by the proposed model in this study agree very well with the experimental data.

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Test Results and Nonlinear Analysis of RC T-beams Strengthened by Bonded Steel Plates

  • Ren, Wei;Sneed, Lesley H.;Gai, Yiting;Kang, Xin
    • International Journal of Concrete Structures and Materials
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    • 제9권2호
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    • pp.133-143
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    • 2015
  • This paper describes the test results and nonlinear analysis of reinforced concrete T-beams strengthened by bonded steel plates under increasing static loading conditions. The first part of this paper discusses the flexural tests on five T-beams, including the test model design (based on similarity principles), test programs, and test procedure. The second part discusses the nonlinear numerical analysis of the strengthened beams, in which a concrete damage plasticity model and a cohesive behavior were adopted. The numerical analysis results are compared with experimental data and show good agreement. The area of bonded steel plate and the anchor bolt spacing were found to have an impact on the cracking load, yield load, and ultimate load. An increase in the area of steel plate and a reduction of the anchor spacing could significantly improve the cracking and ultimate loads and decrease the damage of the beam.

Modelling time-dependent cracking in reinforced concrete using bond-slip Interface elements

  • Chong, Kak Tien;Gilbert, R. Ian;Foster, Stephen J.
    • Computers and Concrete
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    • 제1권2호
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    • pp.151-168
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    • 2004
  • A two-dimensional nonlinear finite element model is developed to simulate time-dependent cracking of reinforced concrete members under service loads. To predict localized cracking, the crack band model is employed to model individual crack opening. In conjunction with the crack band model, a bond-interface element is used to model the slip between concrete and reinforcing steel permitting large slip displacements between the concrete element nodes and the steel truss element nodes at crack openings. The time-dependent effects of concrete creep and shrinkage are incorporated into the smeared crack model as inelastic pre-strains in an iterative solution procedure. Two test examples are shown to verify the finite element model with good agreement between the model and the observed test results.

콘크리트의 인장강성을 고려한 RC보의 비틀림 해석 (Torsional Analysis of RC Beam Considering Tensile Stiffening of Concrete)

  • 박창규
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2002년도 가을 학술발표회 논문집
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    • pp.167-172
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    • 2002
  • Nonlinear analysis of the reinforced concrete beam subjected to torsion is presented. Seventeen equations involving seventeen variables are derived from the equilibrium equation, compatibility equation, and the material constitutive laws to solve the torsion problem. Newton method was used to solve the nonlinear simultaneous equations and efficient algorithms are proposed. Present model covers the behavior of reinforced concrete beam under pure torsion from service load range to ultimate stage. Tensile resistance of concrete after cracking is appropriately considered. The softened concrete truss model and the average stress-strain relations of concrete and steel are used. To verify the validity of Present model, the nominal torsional moment strengths according to ACI-99 code and the ultimate torsional moment by present model are compared to experimental torsional strengths of 55 test specimens found in literature. The ultimate torsional moment strengths by the present model show good results.

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