• Title/Summary/Keyword: stress-strain relations

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Developement of Hyperbolic Model Considering Strain Dependency (변형률 의존성을 고려한 쌍곡선 모델의 개발)

  • Lee, Yong-An;Kim, You-Seong
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.644-655
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    • 2008
  • Conventional hyperbolic model does not satisfactorily predict the overall stress-strain behaviors of various geomaterials. Tatsuoka and Shibuya(1992) suggest the generalized hyperbolic equation(GHE) considering strain dependency and calculated performance is in good agreement with precise triaxial compression test results of stress-strain relations over wide range of strains before peak stress condition in some cases, but GHE model also does not satisfactorily predict stress-strain relations as strain goes on state of peak stress in most cases. For improve a weak point of the GHE, in this study, modified form of generalized hyperbolic equation (MGHE model) is proposed which can predict highly nonlinear stress-strain behavior for various geomaterials from small strain to peak stress condition.

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Energy dissipation response of brick masonry under cyclic compressive loading

  • Senthivel, R.;Sinha, S.N.
    • Structural Engineering and Mechanics
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    • v.16 no.4
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    • pp.405-422
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    • 2003
  • Scaled brick masonry panels were tested under cyclic unialxial compression loading to evaluate its deformation characteristics. An envelope stress - strain curves, a common point curves and stability point curves were obtained for various cyclic test conditions. Loops of the stress-strain hysteresis were used to determine the energy dissipation for each cycle. Empirical expressions were proposed for the relations between energy dissipation and envelope and residual strains. These relations indicated that the decay of masonry strength starts at about two-third of peak stress.

Prediction of ECC tensile stress-strain curves based on modified fiber bridging relations considering fiber distribution characteristics

  • Lee, Bang Yeon;Kim, Jin-Keun;Kim, Yun Yong
    • Computers and Concrete
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    • v.7 no.5
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    • pp.455-468
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    • 2010
  • This paper presents a prediction and simulation method of tensile stress-strain curves of Engineered Cementitious Composites (ECC). For this purpose, the bridging stress and crack opening relations were obtained by the fiber bridging constitutive law which is quantitatively able to consider the fiber distribution characteristics. And then, a multi-linear model is employed for a simplification of the bridging stress and crack opening relation. In addition, to account the variability of material properties, randomly distributed properties drawn from a normal distribution with 95% confidence are assigned to each element which is determined on the basis of crack spacing. To consider the variation of crack spacing, randomly distributed crack spacing is drawn from the probability density function of fiber inclined angle calculated based on sectional image analysis. An equation for calculation of the crack spacing that takes into quantitative consideration the dimensions and fiber distribution was also derived. Subsequently, a series of simulations of ECC tensile stress-strain curves was performed. The simulation results exhibit obvious strain hardening behavior associated with multiple cracking, which correspond well with test results.

Proposal of Stress-Strain Relations Considering Confined Effects for Various Composite Columns (합성형태에 따른 콘크리트 구속효과를 고려한 응력-변형률 관계식의 제안)

  • Park, Kuk Dong;Hwang, Won Sub;Yoon, Hee Taek;Sun, Woo Hyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.265-275
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    • 2010
  • Concrete filled steel tube and concrete encased steel tube columns are expected to have confined effects of concrete by steel and reinforced effects of local buckling by concrete. On the basis of confined state concrete models of previous researches, stress-strain and load-displacement relations of RC, CFT and CET columns are analyzed by steel ratio. After comparing analysis results with experimental results, Modified stress-strain relations are derived through evaluation the influence upon confined effects of concrete in each cases. Also, the modified stress-strain models are carried out to be compared with specified strength of various countries.

The calculation of stress-strain behavior of Ti-10V-2Fe-3Al alloys (Ti-10V-2Fe-3Al 합금의 응력-변형거동 계산)

  • 오택열
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.38-47
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    • 1989
  • The Finite Element Method has been employed to calculate the effect of particle size, matrix, and volume fractions on the stress-strain relations of .alpha.-.betha. titanium alloys. It was found that for a given volume fraction, the calculated stress-strain curve was higher for a finer particle size than for a coarse particle size within the range of the strains considered, and this behavior was seen for all the different volume fraction alloys considered. The calculated stress-strain curves for three vol. pct .alpha. alloys were compared with their corresponding experimental curve, and in general, good agreement was found.

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Theoretical Investigation on the Stress-Strain Relationship for the Porous Shape Memory Alloy (기공을 갖는 형상기억합금의 응력 및 변형률 관계에 대한 이론적 고찰)

  • Lee Jae-Kon;Yum Young-Jin;Choi Sung-Bae
    • Composites Research
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    • v.17 no.6
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    • pp.8-13
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    • 2004
  • A new three-dimensional model fur stress-strain relation of a porous shape memory alloy has been proposed, where Eshelby's equivalent inclusion method with Mori-Tanaka's mean field theory is used. The predicted stress-strain relations by the present model are compared and show good agreements with the experimental results for the Ni-Ti shape memory alloy with porosity of 12%. Unlike linear stress-strain relations during phase transformations by other models from the literature, the present model shows nonlinear stress-strain relation in the vicinity of martensite finish region.

Analysis of True Stress - True Strain Relations through the Modeling of Ball Indentation Test (압입시험 모델링을 통한 진응력-진변형율 관계 해석)

  • Lee, Ho-Jin;Kim, Ki-Baik;Lee, Bong-Sang;Lee, Byung-Sup
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.660-665
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    • 2003
  • The true stress - true strain relation of SA508 steel was evaluated with analytical and experimental equation on the base of the indentation load-depth curve obtained from the modeling of ball indentation test. The evaluated relation between true stress and true strain is agreed well with that of SA508 teel defined in the modeling. The distribution of effective stress along the center axis of indentation depth was calculated with Tresca criteria in the modeling. The representative strain, which are defined in this study as the corresponding strains obtained from the maximum effective stress, have a linear relation with the true strain. The true stress - true strain relation of austenitic stainless steel was evaluated by the modeling of ball indentation test to verify the case of A508 steel.

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Modeling Stress-Strain Relations for FRP-Confined Concrete (FRP로 구속된 콘크리트의 응력-변형률 해석모델)

  • Cho, Soon-Ho;Bang, Se-Hwan
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.211-214
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    • 2005
  • The analytical model capable of predicting stress vs. strain relations for circular FRP-confined concrete in a rational manner is proposed. The underlying idea is that the volumetric expansion due to progressive microcracking is an important measure of the extent of damage in the material microstructure. Various existing analytical models including the proposed were also investigated, and compared each other and with test results.

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Evaluation of constitutive relations for concrete modeling based on an incremental theory of elastic strain-hardening plasticity

  • Kral, Petr;Hradil, Petr;Kala, Jiri
    • Computers and Concrete
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    • v.22 no.2
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    • pp.227-237
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    • 2018
  • Today, the modeling of concrete as a material within finite element simulations is predominantly done through nonlinear material models of concrete. In current sophisticated computational systems, there are a number of complex concrete material models which are based on theory of plasticity, damage mechanics, linear or nonlinear fracture mechanics or combinations of those theories. These models often include very complex constitutive relations which are suitable for the modeling of practically any continuum mechanics tasks. However, the usability of these models is very often limited by their parameters, whose values must be defined for the proper realization of appropriate constitutive relations. Determination of the material parameter values is very complicated in most material models. This is mainly due to the non-physical nature of most parameters, and also the large number of them that are frequently involved. In such cases, the designer cannot make practical use of the models without having to employ the complex inverse parameter identification process. In continuum mechanics, however, there are also constitutive relations that require the definition of a relatively small number of parameters which are predominantly of a physical nature and which describe the behavior of concrete very well within a particular task. This paper presents an example of such constitutive relations which have the potential for implementation and application in finite element systems. Specifically, constitutive relations for modeling the plane stress state of concrete are presented and subsequently tested and evaluated in this paper. The relations are based on the incremental theory of elastic strain-hardening plasticity in which a non-associated flow rule is used. The calculation result for the case of concrete under uniaxial compression is compared with the experimental data for the purpose of the validation of the constitutive relations used.

Compressive stress-strain behavior of RFAC after high temperature

  • Liang, Jiongfeng;Wang, Liuhaoxiang;Ling, Zhibin;Li, Wei;Yang, Wenrui
    • Computers and Concrete
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    • v.30 no.1
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    • pp.9-17
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    • 2022
  • This paper discusses the effect of high temperatures (Ts) on the compressive strength and stress-strain curve of recycled fine aggregate concrete (RFAC), based on the experimental results. A total of 90 prisms (100 mm×100 mm×300 mm) were tested. The results show that the compressive strength and elastic modulus of RFAC specimens decreased significantly with increasing T values. As T increased, the strain corresponding to peak stress decreased first when T<200℃ and then increased afterwards. With increasing T values, the stress-strain curves became flat gradually, the peak stress dropped gradually, and εp decreased when T<200℃ and increased in the T range of 400-800℃. A stress-strain relations for RFAC exposed to high Ts is proposed, which agree quite well with the test results and may be used to practical applications.