• Title/Summary/Keyword: Effective Stress-strain Curve

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Evaluation of Axial Residual Stress in Multi-Pass Drawn High Carbon Steel Wire Considering Effective Stress-Strain Curve at High Strain (고변형률 영역의 유효응력-변형률 곡선을 고려한 고탄소강 다단 신선 와이어 축방향 잔류응력 평가)

  • Lee, Sang-Kon;Kim, Dae-Woon;Kim, Byung-Min;Jung, Jin-Young;Ban, Duk-Young;Lee, Seon-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.8
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    • pp.70-75
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    • 2010
  • The aim of this study is to evaluate the axial residual stress in multi-pass drawn high carbon steel wire by using FE analysis and XRD. When FE analysis is applied to evaluate the residual stress in drawn wire of multi-pass drawing process, obtaining the reliable effective stress-strain curve at high strain is very important. In this study, a model, which can express the reliable effective stress-strain curve at high strain, is introduced based on the Bridgman correction and tensile test for multi-pass drawn high carbon steel wires. By using the introduced model, FE analysis was carried out to evaluate the axial residual stress in the drawn wires. Finally, the effectiveness of the FE analysis with the introduced stress-strain relation was verified by the measurement of residual stress in the drawn wires through XRD. As a result, the evaluated residual stress of FE analysis shows good agreement with the measured residual stress.

The Effect of Dynamic Strain Aging on the High Temperature Plastic Deformation Behaviour of Al-Mg Alloy (Al-Mg 합금의 고온 소성 변형 특성에 미치는 동적 변형 시효의 영향)

  • 이상용;이정환
    • Transactions of Materials Processing
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    • v.5 no.4
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    • pp.327-336
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    • 1996
  • The effect of dynamic strain aging on high temperature deformation behaviour of the A-Mg alloy was investigated by strain rate change tests and stress relaxation tests between 20$0^{\circ}C$and 50$0^{\circ}C$. Yield point, short stress transient and periodic discontinuities on the stress-strain curve were considered as an evidence of the effect of dynamic strain aging. With this criterion two distinct strain rate-temperature regimes could be manifested. Dynamic strain aging was considered to be effective in the high temperature-low strain rate regime, whereas dynamic recovery was a dominant deformation mechanism in the low temperature-high strain rate regime. It was found that dynamic strain aging in the high temperature deformation was governed by the mechcanism of diffusion-controlled, viscous dislocation movement.

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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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Tensile Stress-Strain Relation of ECC (Engineered Cementitious Composite) Accounting for Bridging Curve (실제 균열면응력-변위 곡선을 고려한 ECC의 1축 인장거동 관계)

  • Kim, Jeong-Su;Lee, Bang Yeon;Kwon, Seong-Hee;Kim, Jin-Keun;Kim, Yun Yong
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.933-936
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    • 2008
  • An engineered cementitious composite (Engineered Cementitious Composite) had been developed in previous study. Theoretical prediction of the tensile stress-strain relation of ECC is important in providing the material constitutive relation necessary for designing structural members. But, few studies have been reported with regard to predicting the tensile stress-strain relation of ECC. Prediction of the tensile stress-strain relation of ECC accounting for actual bridging curve, such as fiber dispersion is needed. The present study extends the work as developed by Kanda et al., by modeling the bridging curve, accounting for fiber dispersion, the degree of matrix spalling, and fiber rupture to predict the tensile stress-strain relation of ECC. The role of material variation in the bridging curve, such as number of effective fiber actually involved in the bridging capacity and how it affects the multiple cracking process is discussed. The approach for formulating the tensile stress-strain relation is discussed next, where the procedure for obtaining the necessary parameters, such as the crack spacing, is presented. Finally, the predicted stress-strain relation will be validated with experimental tests results.

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An Indentation Theory Based on FEA Solutions for Property Evaluation (유한요소해에 기초한 물성평가 압입이론)

  • Lee, Hyeong-Il;Lee, Jin-Haeng
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.11
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    • pp.1685-1696
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    • 2001
  • A novel indentation theory is proposed by examining the data from the incremental plasticity theory based finite element analyses. First the optimal data acquisition location is selected, where the strain gradient is the least and the effect of friction is negligible. This data acquisition point increases the strain range by a factor of five. Numerical regressions of obtained data exhibit that strain hardening exponent and yield strain are the two main parameters which govern the subindenter deformation characteristics. The new indentation theory successfully provides the stress-strain curve with an average error less than 5%.

A Novel Indentation Theory Based on Incremental Plasticity Theory (증분소성이론에 준한 새 압입이론)

  • Lee, Hyung-Yil;Lee, Jin-Haeng
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.185-192
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    • 2000
  • A novel indentation theory is proposed by examining the data from the incremental plasticity theory based finite element analyses. First the optimal data acquisition location is selected, where the strain gradient is the least and the effect of friction is negligible. This data acquisition point increases the strain range by a factor of five. Numerical regressions of obtained data exhibit that strain hardening exponent and yield strain are the two main parameters which govern the subindenter deformation characteristics. The new indentation theory successfully provides the stress-strain curve with an average error less than 3%.

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Development and Verification of Micro-indentation Technique for Material Property Evaluation of Hyper-elastic Rubber (초탄성고무 물성평가용 미소압입시험법 개발 및 검증)

  • Lee, Hyung-Il;Lee, Jin-Haeng
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.132-137
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    • 2004
  • In this work, effects of hyper-elastic rubber material properties on the indentation load-deflection curve and subindenter deformation are first examined via [mite element (FE) analyses. An optimal data acquisition spot is selected, which features maximum strain energy density and negligible frictional effect. We then contrive two normalized functions. which map an indentation load vs. deflection curve into a strain energy density vs. first invariant curve. From the strain energy density vs. first invariant curve, we can extract the rubber material properties. This new spherical indentation approach produces the rubber material properties in a manner more effective than the common uniaxial tensile/compression tests. The indentation approach successfully measures the rubber material properties and the corresponding nominal stress.strain curve with an average error less than 3%.

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Modeling the Relaxation Behavior of a Polymeric Composite (열가소성 복합재료의 응력완화 모델링)

  • 김위대
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.76-79
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    • 2000
  • Polymeric composites exhibit highly nonlinear and rate dependent behavior during loading and unloading in off-axis directions. The equilibrium state of stress during loading is lower than the state of stress produced at finite strain rates. The amount of stress relaxation during loading decreases. Interestingly, however, the stress goes up to reach to the equilibrium state of stress for a fixed displacement during unloading. The unloading behavior is quite similar to the loading behavior. The stress relaxation patterns during loading and unloading is also similar, and those depend on the fiber orientation angles and the loading and unloading rates. The AS4/PEEK thermoplastic composite is used to characterize the relaxation behavior for different off-axis angles and loading rates. There exists a transient loading region at the beginning of unloading. The effective stress and effective plastic strain concept is used to establish a master curve of stress recovery pattern for different off-axis angles and unloading rates.

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Dynamic Recrystallization of Medium Carbon Steels (중탄소강의 동적 재결정에 관한 연구)

  • Kim S. I.;Han C. H.;Yoo Y. C.;Lee D. R.;Ju U. Y.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2000.10a
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    • pp.33-36
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    • 2000
  • The dynamic recrystallization (DRX) of medium carbon steels (SCM 440 and POSMA45) was studied with torsion test in the temperature range of $900-1100^{\circ}C$ and the strain rate range of $5.0x10^{-2}\;-\;5.0x10^0/sec$. To establish the quantitative equations for DRX, the evolution of flow stress curve with strain was analyzed. The critical strain (${\varepsilon}_c$) and strain for maximum softening rate ( ${\varepsilon}^{*}$) could be confirmed by the analysis of work hardening rate ($d{\sigma}/d{\varepsilon}\;=\; \theta$). The volume fraction of dynamic recrystallization ($X_{DRX}$) as a function of processing variables, such as strain rate ( $\dot{\varepsilon}$ ), temperature (T), and strain ( $\varepsilon$ ) were established using the ${\varepsilon}_c$ and ${\varepsilon}^{*}$. For the exact prediction, the ${\varepsilon}_c$, ${\varepsilon}^{*}$ and Avrami' exponent (m') were quantitatively expressed by dimensionless parameter, Z/A respectively. The transformation-effective strain-temperature curve for DRX could be composed. It was found that the calculated results were agreed with the experimental data for the steels at any deformation conditions.

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Tensile Deformation Characteristics of ECC Predicted with a Modified Fiber Bridging Curve (수정된 섬유 가교 특성을 고려한 ECC의 인장변형특성)

  • Kim, Jeong-Su;Lee, Bang-Yeon;Kim, Jin-Keun;Kim, Yun-Yong
    • Journal of the Korea Concrete Institute
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    • v.21 no.5
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    • pp.541-548
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    • 2009
  • A theoretical prediction model of fiber bridging curve was established based on the assumption that fibers are uniformly distributed on the crack surface. However, the distance between fibers and their orientation with respect to crack surface can greatly affect the prediction of fiber bridging curve. Since, the shape of fiber bridging curve is a critical factor for predicting the tensile stress-strain relationship of ECC, it is expected that the assumption of uniform distribution of fiber may cause a significant error when predicting the tensile behavior of ECC. To overcome this shortcoming, a new prediction method of stress-strain relation of ECC is proposed based on the modified fiber bridging curve. Only effective fibers are taken into account considering the effects of their orientation and distance between them. Moreover, the approach for formulating the tensile stress-strain relation is discussed, where a procedure is presented for obtaining important parameters, such as the first crack strength, the peak stress, the displacement at peak stress, tensile strain capacity, and the crack spacing. Subsequent uniaxial tensile tests were performed to validate the proposed method. It was found that the predicted stress-strain relations obtained based on the proposed modified fiber bridging curve exhibited a good agreement with experimental results.