• Title/Summary/Keyword: Strain rate hardening

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An elastoplastic bounding surface model for the cyclic undrained behaviour of saturated soft clays

  • Cheng, Xinglei;Wang, Jianhua
    • Geomechanics and Engineering
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    • v.11 no.3
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    • pp.325-343
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    • 2016
  • A total stress-based bounding surface model is developed to predict the undrained behaviour of saturated soft clays under cyclic loads based on the anisotropic hardening modulus field and bounding-surface theories. A new hardening rule is developed based on a new interpolation function of the hardening modulus that has simple mathematic expression and fewer model parameters. The evolution of hardening modulus field is described in the deviatoric stress space. It is assumed that the stress reverse points are the mapping centre points and the mapping centre moves with the variation of loading and unloading paths to describe the cyclic stress-strain hysteresis curve. In addition, by introducing a model parameter that reflects the accumulation rate and level of shear strain to the interpolation function, the cyclic shakedown and failure behaviour of soil elements with different combinations of initial and cyclic stresses can be captured. The methods to determine the model parameters using cyclic triaxial compression tests are also studied. Finally, the cyclic triaxial extension and torsional shear tests are performed. By comparing the predictions with the test results, the model can be used to describe undrained cyclic stress-strain responses of elements with different stress states for the tested clays.

The Evolution of Dynamically Recrystallized Microstructure for SCM 440 (SCM 440 강재의 동적 재결정 조직 변화에 관한 연구)

  • 한형기;유연철
    • Transactions of Materials Processing
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    • v.10 no.1
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    • pp.35-41
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    • 2001
  • The high temperature deformation behavior of SCM 440 can be characterized by the hot torsion test in the temperature ranges of $900^{\circ}C$~$1100^{\circ}C$ and strain rate ranges of 0.05/sec~5/sec. The aim of this paper is to establish the quantitative equation of the volume fraction of dynamic recrystallization (DRX) as a function of processing variables, such as strain rate ($\varepsilon$), temperature (T), and strain ('$\varepsilon$). During hot deformation, the evolution of microstructure could be analyzed from work hardening rate ($\theta$). For the exact prediction of dynamic softening mechanism the critical strain ($\varepsilon_c$), the strain for maximum softening rate ($\varepsilon^*$ 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 steel at any deformation conditions.

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Practical Determination of the Die Shape Using a Streamline in Axisymmetric Extrusion (유동경로를 이용한 축대칭 금형 형상의 실용적 ,결정)

  • 이용신
    • Transactions of Materials Processing
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    • v.10 no.2
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    • pp.111-114
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    • 2001
  • A new, simple method to determine the die shape using a streamline in extrusion is presented. This method assumes that a billet deforms naturally to minimize the energy input for the given process condition. Then, an optimal die shape can be determined along a streamline. Extrusion operations with two types of materials, strain-hardening material and strain-rate hardening material, are examined using this method. Predictions with the proposed method are compared with those by the previous optimizing model to show its efficiency.

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A Practical Method to Determine the Die Shape using a Streamline in Axisymmetric Extrusion (축대칭 압출에서의 유동경로를 이용한 실용적 금형설계)

  • 윤상헌
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2000.04a
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    • pp.79-82
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    • 2000
  • A new simple method to determined the die shape using a streamline in extrusion is presented. This method assumes that a billet deforms naturally to minimize the energy input for the given process condition. Then an optimal die shape can be determined along a streamline. Extrusion operations with two types of materials strain-hardening material and strain-rate hardening material are examined using this method. Prediction with the proposed method are compared with those by the previous optimizing model to show its efficiency.

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A Study of Localization of the Adiabatic Shear Band with Numerical Method (단열전단변형에서 국부화에 대한 수치해석적 연구)

  • 이병섭
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.225-228
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    • 1999
  • In a plastically deformed body the formation of a shear band is widely observed in the engineering materials during rapidly forming process for a thermally rate-sensitive material. The localized shear bond stems from evolution of a narrow region in which intensive plastic flow occurs. The shear band often plays as a precursor of the ductile fracture during a forming process. The objectives of this study are to investigate the localization behaivor by using numerical method thus predict the failure. In this work the implicit finite difference scheme is preformed due to the ease of covergence and the numerical stability. This study is based on an analysised material with hardening as well as thermally softening behavior which includes isotropy strain hardening. Furthermore this paper suggests that an anticipated and suggested a kinematic hardening constitutive equation be requried to predicte a more accurate strain level wherein a shear band occurs.

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Controlled Deformation of Microalloyed Steel by Precipitation and Recrystallization (미량원소첨가강의 석출 및 재결정에 의한 제어변형)

  • 조상현;김성일;유연철
    • Transactions of Materials Processing
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    • v.6 no.2
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    • pp.102-109
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    • 1997
  • The multistage deformation and stress relaxation were carried out to investigate the strain induced precipitation by torsion tests in the range of 1000~80$0^{\circ}C$, 0.05~5/sec for V-microalloyed steel. The starting temperature and time for the initiation of precipitation were determined by stress relaxation tests. The distribution of precipitates increased, as the strain rate increased and the mean size of precipitates was found to be about 10~30nm. The precipitation starting time$(P_s)$ decreased with increasing strain rate and the amount of pre-strain. The effect of deformation conditions on the no-recrystallization temperature$(T_nr)$ was also determined in the multistage deformation. $T_nr$ Tnr decreased with increasing the strain and strain rate. In the controlled rolling simulation, grain refinement and precipitation hardening effects could be achieved by the alternative large pass strain at the latter half pass stage under the condition of low temperature and high strain rate.

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Effect of Strain Rate on Plastic Deformation Behavior of Y-CSZ Single Crystal

  • Cheong, Deock-Soo;Kim, Chang-Sam
    • Korean Journal of Materials Research
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    • v.20 no.1
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    • pp.7-11
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    • 2010
  • Yttria stabilized zirconia (Y-CSZ) single crystals show plastic deformation at high temperatures by activating dislocations. The effect of strain rate on the plastic behavior of this crystal was studied. As increasing strain rate from $\varepsilon=1.04\times10^{-5} sec^{-1}$ to $2.08\times10^{-5} sec^{-1}$ the yield drop was suppressed and resulted in higher Young's modulus and yield stress. Dislocation structures of the strained crystals were analyzed using a transmission electron microscope to elucidate the plastic behavior of these crystals. In the early stage of plastic deformation, dislocation dipoles and prismatic dislocation loops were formed in both samples. However, dislocation density was increased by increasing strain rate. Strong sessile dislocations were observed in the sample with higher strain rate, which may cause the higher work hardening.

Precipitation and Recrystallization of V-Microalloyed Steel during Hot Deformation (V 첨가강의 고온변형시 석출 및 재결정에 관한 연구)

  • 조상현;김성일;유연철
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.03b
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    • pp.48-54
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    • 1996
  • The continuous deformation , multistage deformation and stress relaxation were carried out to investigate the strain induced procipitation by torsion tests in the range of 1000∼800$^{\circ}C$, 0.05/sec∼5/sec for V-microalloyed steel. The starting temperature and time for the initiation of precipitation were determined by stress relaxation tests and the distribution of percipitates increased at higher strain rate and the mean size of precipitates was found to be about 50nm. The precipitation starting time decreased with increasing strain rate from 0.05/sec to 5 /sec and pre-strain. The effect of deformation conditions on the no-recrystallization temperature(Tnr) was determined in the multistage deformation with declining temerature. The Tnr decreased with increasing strain and strain rae. In the controlled rolling, grain refinement and precpitation hardening effects could be achieved by the alternative large pass strain at the latter half pass stage under the condition of low temperature and high strain rate.

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Dynamic Strain Aging on the Leak-Before-Break Analysis in SA106 Gr.C Piping Steel

  • Kim, Jin-Weon;Kim, In-Sup
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05c
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    • pp.193-198
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    • 1996
  • The effect of dynamic strain aging (DSA) on the leak-before-break (LBB) analysis was estimated through the evaluation of leakage-size-crack and flaw stability in SA106 Gr.C piping steel. Also. the results were represented as a form of "LBB allowable load window". In the DSA temperature region. the leakage-size-crack length was smaller than that at other temperatures and it increased with increasing tensile strain rate. In the results of flaw stability analysis. the lowest instability load appeared at the temperature corresponding to minimum J- R curve which was caused by DSA. The instability load near the plant operating temperature depended on the loading rate of J-R data. and decreased with increasing tensile strain rate. These are due to the strain hardening characteristic and strain rate sensitivity of DSA. In the "LBB allowable load window". LBB allowable region was the narrowest at the temperature and loading conditions where DSA occurs.

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Characteristics of the Cyclic Hardening in Low Cycle Environmental Fatigue Test of CF8M Stainless Steel (CF8M 스테인리스 강 저주기 환경피로 실험의 주기적 변형률 경화 특성)

  • Jeong, Ill-Seok;Ha, Gak-Hyun;Kim, Tae-Ryong;Jeon, Hyun-Ik;Kim, Yeong-Sin
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.17-22
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    • 2007
  • Low-cycle environmental fatigue tests of cast austenitic stainless steel CF8M at the condition of fatigue strain rate 0.04%/sec were conducted at the pressure and temperature, 15MPa, $315^{\circ}C$ of a operating pressurized water reactor. The used test rig was limited to install an extensometer at the gauge length of the cylindrical fatigue specimen inside the small autoclave. So the magnet type LVDT's were used to measure the fatigue displacement at the specimen shoulders inside the high temperature and high pressure water autoclave. However, the displacement and strain measured at the specimen shoulders is different from the one at the gauge length for the geometry and the cyclic strain hardening effect. FEM calculated the displacement and the strain of the gauge length from the data measured at the shoulders. Tensile test properties in elastic and plastic behavior of CF8M material were used in the FEM analysis. A series of low cycle fatigue tests simulating the cyclic strain hardening effect verified that the FEM calculation was well agreed with the simulated tests. The process and method developed in this study would be so useful to produce reliable environmental fatigue curves of CF8M stainless steel in pressurized water reactors.

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