• Title/Summary/Keyword: Stress-strain Relationship

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A STREE-STRAIN THEORY FOR COMPACTED ROCKFILL (다짐된 사약재료의 응력-변형 이론)

  • 이영희
    • Geotechnical Engineering
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    • v.3 no.1
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    • pp.77-96
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    • 1987
  • Based on observation emerged from the undrained tests and the anisotropic consolidation tests, an incremental stress-strain theory for rockfill is proposed in a manner similar to that developed ky Cambridge Group for normally consolidated soils; the volumetric strain due to stress increment is the same as the increment due to an undrained component followed by an increment along the constant stress ratio path. The strains in drained tests are predicted from those in the undrained tests and in the anisotropic consolidation tests. An expression for the undrained stress path is derived based on the bilinear relationship between the pore pressure developed and the stress ratio observed during untrained tests. Good agreement is found between the calculated and measured strains. This trend in behaviour would be helpful in establishing a stress.strain model for rockfill using the elasto-plastic behaviour with the concept of plastic potentials and flow rules.

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Split Hopkinson Pressure Bar(SHPB)에 의한 고 변형률 재료의 구성방정식 시뮬레이션

  • 이억섭;정주호;김종호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.724-727
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    • 1995
  • Dynamic deformation behavior under the high strain rate loading condition obtained with the aid of Split Hopkinson Pressure Bar(SHPB) technique is simulated by DYNA2D (an hydrodynamic code). A constitutive equation such as Johnson-Cook model is used by adjusting various parameters to fit experimentally determined dynamic stress-strain relationship.

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A Study on the Equi-biaxial Tension Test of Rubber Material (고무재료의 등 이축 인장시험에 관한 연구)

  • 김완두;김동진;김완수;이영신
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.95-104
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    • 2003
  • The material properties of rubber was determined by the experiments of uniaxial tension, uniaxial compression, planer tension, equi-biaxial tension and volumetric compression. In compression test, it is difficult to obtain the pure state of compression stress and strain due to friction force between the specimen and compression platen. In this study, the stress and strain data from the equi-biaxial tension test were converted to compression stress and strain and compared to a pure state of simple compression data when friction was zero. The compression test device with the tapered platen was proposed to overcome the effect of friction. It was fumed out that the relationship of the stress and strain using the tapered platen was in close agreement with the pure compressive state.

Experiment and simulation analysis on full scale double-layer concrete shell

  • Thanh Quang Khai Lam;Thi My Dung Do
    • Computers and Concrete
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    • v.31 no.1
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    • pp.9-21
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    • 2023
  • The published studies usually used analytical method, numerical methods or experimental method to determine the stress-strain state and displacement of the single-layer or multi-layer curved shell types, but with a small scale model. However, a full scale multi-layer doubly curved concrete shell roof model should be researched. This paper presents the results of the experiment and simulation analysis involving stress-strain state, sliding between layers, the formation and development of the full scale double-layer doubly curved concrete shell roof when this shell begins to crack. The results of the this study have constructed the load-sliding strain relationship; strain diagram; stress diagram in the shell layers; the Nx, Ny membrane force diagram and deflection of shell. Thisresults by experimental method on a full scale model of concrete have clarified the working of multi-layer doubly curved concrete shell roof. The experimental and simulation results are compared with each other and compared with the Sap2000 software.

Numerical Study for the Estimation of Strengthening Effect of Concrete Column Strengthened with CFS (CFS 보강 콘크리트 기둥의 보강효과 산정을 위한 해석적 연구)

  • 이상호;허원석;박재우
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.709-714
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    • 1999
  • The objectives of this study are to estimate the strengthening effect of concrete column strengthened with CFS and to provide basic guideline for the strengthening design with laminated composite materials. Analysis stress-strain model of laminated CFS is presented based on laminate theory. This model has been implemented in the algorithm of evaluating confinement effect of CFS. From results of the algorithm, stress-strain relationship of confined concrete is obtained. Using this stress-strain relationship, section analyses of circular and rectangular concrete columns strengthened with CFS are carried our, and load-moment interaction and load-ductility curves of the columns are obtained. To evaluate the strengthening effects of CFS, parametric study is also conducted for the angle of ply, thickness of CFS, shape of section, and reinforcement ratio. Based on this investigation, design recommendations and basic guidelines for the strengthening design with CFS are proposed.

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A Study on the Comparison and Evaluation of the Stress-Strain Relationships of Concrete (콘크리트의 응력-변형률 모델 비교 평가 연구)

  • 박훈규;원종필;윤영수;장일영
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.04a
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    • pp.413-421
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    • 1997
  • This paper presents the comparison and evaluation of the existing test results and empirical formulas of high-strength concrete available in the literature for various types of models to describe the stress-strain relationship. The range of concrete compressive strength taken into account in this study was 400 to 1200kg/㎠ and the comprehensive assessment of each linearly varying ascending part and brittle type of descending one of each model was carried out. The results show that the fixed curve equation seems to be recommended to well describe the ascending part and so does Fafitis' exponential equation for the descending part in the stress-strain relationship of the high and ultra high-strength concrete.

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Influence of Strain Rate on Tensile Properties and Dynamic Strain Aging of an Fe-24.5Mn-4Cr-0.45C Alloy (변형률 속도에 따른 Fe-24.5Mn-4Cr-0.45C 합금의 인장 특성과 동적 변형시효)

  • Lee, Seung-Yong;Hwang, Byoungchul
    • Korean Journal of Materials Research
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    • v.26 no.5
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    • pp.281-286
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    • 2016
  • In the present study, the tensile properties and dynamic strain aging of an Fe-24.5Mn-4Cr-0.45C alloy were investigated in terms of strain rate. During tensile testing at room temperature, all the stress-strain curves exhibited serrated plastic flows related to dynamic strain aging, regardless of the strain rate. Serration appeared right after yield stress at lower strain rates, while it was hardly observed at high strain rates. On the other hand, strain-rate sensitivity, indicating a general relationship between flow stress and strain rate at constant strain and temperature, changed from positive to negative as the strain increased. The negative strain-rate sensitivity can be explained by the Portevin Le Chatelier effect, which is associated with dynamic strain aging and is dependent on the strain rate because it is very likely that the dynamic strain aging phenomenon in high-manganese steels is involved in the interaction between moving dislocations and point-defect complexes.

A Study on Nonlinear Analysis of Reinforced Concrete Structures (철근(鐵筋)콘크리트 구조물(構造物)의 비선형(非線型) 해석(解析)에 관한 연구(硏究))

  • Chang, Dong Il;Kwak, Kae Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.69-77
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    • 1987
  • A finite element method has been developed to study the material nonlinear analysis of reinforced concrte structures. Concrete behavior under the biaxial state of stress is represented by a nonlinear constitutive relationship which incorporates tensile cracking, tensile stiffening effect between cracks and the strain-softening phenomenon beyond the maximum compressive strength. The concrete model used is based upon nonlinear elasticity by assuming concrete to be an orthotropic material and modeled as equivalent uniaxial stress-strain constitutive relationship using equivalent uniaxial strain. The streel reinforcement is assumed to be in a uniaxial stress state and is modeled as a bilinear, elasto-plastic material with strain hardening approximating the Bauschinger effect. In plane stress state, R.C. beams is modeled as a quadratic element that has two degrees of freedom in each node. And this results of finite element analysis are compared with the experimential results of midspan deflection, stresses and strains.

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Modeling of heated concrete-filled steel tubes with steel fiber and tire rubber under axial compression

  • Sabetifar, Hassan;Nematzadeh, Mahdi;Gholampour, Aliakbar
    • Computers and Concrete
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    • v.29 no.1
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    • pp.15-29
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    • 2022
  • Concrete-filled steel tubes (CFSTs) are increasingly used as composite sections in structures owing to their excellent load bearing capacity. Therefore, predicting the mechanical behavior of CFST sections under axial compression loading is vital for design purposes. This paper presents the first study on the nonlinear analysis of heated CFSTs with high-strength concrete core containing steel fiber and waste tire rubber under axial compression loading. CFSTs had steel fibers with 0, 1, and 1.5% volume fractions and 0, 5, and 10% rubber particles as sand alternative material. They were subjected to 20, 250, 500, and 750℃ temperatures. Using flow rule and analytical analysis, a model is developed to predict the load bearing capacity of steel tube, and hoop strain-axial strain relationship, and axial stress-volumetric strain relationship of CFSTs. An elastic-plastic analysis method is applied to determine the axial and hoop stresses of the steel tube, considering elastic, yield, and strain hardening stages of steel in its stress-strain curve. The axial stress in the concrete core is determined as the difference between the total experimental axial stress and the axial stress of steel tube obtained from modeling. The results show that steel tube in CFSTs under 750℃ exhibits a higher load bearing contribution compared to those under 20, 250, and 500℃. It is also found that the ratio of load bearing capacity of steel tube at peak point to the load bearing capacity of CFST at peak load is noticeable such that this ratio is in the ranges of 0.21-0.33 and 0.31-0.38 for the CFST specimens with a steel tube thickness of 2 and 3.5 mm, respectively. In addition, after the steel tube yielding, the load bearing capacity of the tube decreases due to the reduction of its axial stiffness and the increase of hoop strain rate, which is in the range of about 20 to 40%.

Nonlinear analysis of prestressed concrete structures considering slip behavior of tendons

  • Kwak, Hyo-Gyoung;Kim, Jae-Hong;Kim, Sun-Hoon
    • Computers and Concrete
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    • v.3 no.1
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    • pp.43-64
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    • 2006
  • A tendon model that can effectively be used in finite element analyses of prestressed concrete (PSC) structures with bonded tendons is proposed on the basis of the bond characteristics between a tendon and its surrounding concrete. Since tensile forces between adjacent cracks are transmitted from a tendon to concrete by bond forces, the constitutive law of a bonded tendon stiffened by grouting is different from that of a bare tendon. Accordingly, the apparent yield stress of an embedded tendon is determined from the bond-slip relationship. The definition of the multi-linear average stress-strain relationship is then obtained through a linear interpolation of the stress difference at the post-yielding stage. Unlike in the case of a bonded tendon, on the other hand, a stress increase beyond the effective prestress in an unbonded tendon is not section-dependent but member-dependent. The tendon stress unequivocally represents a uniform distribution along the length when the friction loss is excluded. Thus, using a strain reduction factor, the modified stress-strain curve of an unbonded tendon is derived by successive iterations. The validity of the proposed two tendon models is verified through correlation studies between analytical and experimental results for PSC beams and slabs.