• Title/Summary/Keyword: Cyclic Hardening

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Hardening slip model for reinforcing steel bars

  • Braga, Franco;Caprili, Silvia;Gigliotti, Rosario;Salvatore, Walter
    • Earthquakes and Structures
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    • v.9 no.3
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    • pp.503-539
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    • 2015
  • A new constitutive model for the representation of the seismic behaviour of steel bars including hardening phenomena is presented. The model takes into account relative slip between bars and concrete, necessary for the estimation of the structural behaviour of r.c. elements and of the level of strain induced by earthquakes on bars. The present work provides the analytical formulation of the post-yielding behaviour of reinforcements, resulting in a continuous axial stress-slip relationship to be implemented in engineering software. The efficacy of the model is proved through the application to a cantilever column, for whose bars the constitutive law is derived.

Ratcheting behavior of 90° elbow piping under seismic loading

  • Chen, Xiaohui;Huang, Kaicheng;Ye, Sheng;Fan, Yuchen;Li, Zifeng
    • Earthquakes and Structures
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    • v.17 no.5
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    • pp.489-499
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    • 2019
  • Elastic-plastic behavior of nuclear power plant elbow piping under seismic loads has been conducted in this study. Finite element analyses are performed using classical Bilinear kinematic hardening model (BKIN) and Multilinear kinematic hardening model (MKIN) as well as a nonlinear kinematic hardening model (Chaboche model). The influence of internal pressure and seismic loading on ratcheting strain of elbow pipe is studied by means of the three models. The results found that the predicted results of Chaboche model is maximum, closely followed by the predicted results of MKIN model, and the minimum is the predicted results of BKIN model. Moreover, comparisons of analysis results for each plasticity model against predicted results for a equivalent cyclic loading elbow component and for a simplified piping system seismic test are presented in the paper.

Ratcheting assessment of austenitic steel samples at room and elevated temperatures through use of Ahmadzadeh-Varvani Hardening rule

  • Xiaohui Chen;Lang Lang;Hongru Liu
    • Structural Engineering and Mechanics
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    • v.87 no.6
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    • pp.601-614
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    • 2023
  • In this study, the uniaxial ratcheting effect of Z2CND18.12N austenitic stainless steel at room and elevated temperatures is firstly simulated based on the Ahmadzadeh-Varvani hardening rule (A-V model), which is embedded into the finite element software ABAQUS by writing the user material subroutine UMAT. The results show that the predicted results of A-V model are lower than the experimental data, and the A-V model is difficult to control ratcheting strain rate. In order to improve the predictive ability of the A-V model, the parameter γ2 of the A-V model is modified using the isotropic hardening criterion, and the extended A-V model is proposed. Comparing the predicted results of the above two models with the experimental data, it is shown that the prediction results of the extended A-V model are in good agreement with the experimental data.

Development of Constitutive Equation for Soils Under Cyclic Loading Conditions (反復荷重을 받는 흙의 構成關係式 開發)

  • Jang, Byeong-Uk;Song, Chang-Seop
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.34 no.1
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    • pp.41-48
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    • 1992
  • Various soil behaviors usually occurring in the geotechnical problems, such as, cutting and embankments, stability of slope, seepage, consolidations, shearing failures and liquefaction, should be predicted and analyzed in any way. An approach of these predictions may be followed by the development of the constitutive equations as first and subsequently solved by numerical methods. The purpose of this paper is develop the constitutive equation of sands uder monotonic or cyclic loadings. The constitutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parameter by Sekiguchi et al and Pender's theory is derived. And the equation is included a new stress parameter, hardening function, Bauschinger's effects and Pender's theory. The model is later evaluated and confirmed the validity by the test data of Ottawa sand, Banwol sand Hongseong sand. The following conclustions may be drawn: 1. The consititutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parpameter by Sekiguchi et al and Pender's theory is derived. The equation in included a new stress parameter, hardening function, Bauschinger's effect and Pender's theory. 2. For Ottawa sand, the result of the constitutive equation shows a better agreement than that of Oka et al. The result of axial strain agrees well with the tested data. However, the result of horizontal strain is little bit off for the cyclic loadings or large stress. It is thought that the deviation may be improved by considering Poisson's ratio and precise measurement of shear modulus. 3. Banwol sand is used for the strain and stress tests with different relative densitites and confining pressures. The predeicted result shows a good agreement with the tested data because the required material parameters were directly measurd and determined form this laboratory. 4. For Hongseong sand, the tests under same amplitude of cyclic deviatoric stress shows a similar result with the tested data in absolute strain. It shows the acute shape of turning point because the sine wave of input is used in the test but the serrated wave in prediction.

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Proposal of a Simulated Test Method for the Evaluation of Deformation and Failure Characteristics of Pipe Elbows under Cyclic Loads (반복하중 하의 엘보우 변형 및 손상 특성 평가를 위한 모사시험 방법 제안)

  • Kim, Jin Weon;Lee, Dae Young;Park, Heung Bae
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.16 no.1
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    • pp.1-10
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    • 2020
  • This study proposed a simulated test method using ring specimen to evaluate the deformation and failure characteristics of pipe elbows under a large amplitude cyclic load. The validity of the test method was demonstrated by finite element (FE) analysis of pipe elbow and ring specimen under cyclic loads. The results showed that the proposed test method adequately simulates the distribution of circumferential strain at crown of pipe elbows where cracks occur under cyclic loads and presents the cyclic hardening behavior of pipe elbows. The parametric FE analysis showed that consistent simulated test results could be obtained when the test section of the ring specimen is longer than 1/2 of the inner diameter of the ring specimen and the radius of the inner loading jig is less than 1/4 of the inner diameter of the specimen.

A Study on the Cyclic Hardening Property and the Low Cycle Fatigue Behavior of Marine Materials (박용재료(舶用材料)의 반복경화(反復硬化) 및 저(低)싸이클 피로특성(疲勞特性)에 관한 연구)

  • S.M. Cho;K. Horikawa
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.108-116
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    • 1991
  • In the non-linear behavior of many materials, there is difference between the monotonic behavior by static load and the cyclic behavior by cyclic load. In particular, the short fatigue cracks to propagate in elasto-plastic stress concentrations(notches), are governed significantly by the cyclic behavior of materials. Accordingly, it is needed to investigate and compare the monotonic and cyclic behavior of materials. In the pressent study, the stress-strain relations of materials by monotonic and cyclic load tests were examined for 2 kinds of steels(SS41, HT80) and 5 kinds of Al-alloys(A5083-O, A6N01-T5, A7N01-T4, A7016-T6, A7178-T6). And the constants for mechanical properties of the materials were determined by experimental results, Moreover, when a notch was subjected to cyclic load, the effect of cyclic hardening property of materials on the variation of stress-strain amplitude in the notch tip was discussed by the application of Neuber's rule and experiments for a center notched plate.

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Model tests on bearing capacity and accumulated settlement of a single pile in simulated soft rock under axial cyclic loading

  • Zhang, Benjiao;Mei, Can;Huang, Bin;Fu, Xudong;Luo, Gang;Lv, Bu
    • Geomechanics and Engineering
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    • v.12 no.4
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    • pp.611-626
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    • 2017
  • The research reported herein is concerned with the model testing of piles socketed in soft rock which was simulated by cement, plaster, sand, water and concrete hardening accelerator. Model tests on a single pile socketed in simulated soft rock under axial cyclic loading were conducted and the bearing capacity and accumulated deformation characteristics under different static, and cyclic loads were studied by using a device which combined oneself-designed test apparatus with a dynamic triaxial system. The accumulated deformation of the pile head, and the axial force, were measured by LVDT and strain gauges, respectively. Test results show that the static load ratio (SLR), cyclic load ratio (CLR), and the number of cycles affect the accumulated deformation, cyclic secant modulus of pile head, and ultimate bearing capacity. The accumulated deformation increases with increasing numbers of cycles, however, its rate of growth decreases and is asymptotic to zero. The cyclic secant modulus of pile head increases and then decreases with the growth in the number of cycles, and finally remains stable after 50 cycles. The ultimate bearing capacity of the pile is increased by about 30% because of the cyclic loading thereon, and the axial force is changed due to the applied cyclic shear stress. According to the test results, the development of accumulated settlement is analysed. Finally, an empirical formula for accumulated settlement, considering the effects of the number of cycles, the static load ratio, the cyclic load ratio and the uniaxial compressive strength, is proposed which can be used for feasibility studies or preliminary design of pile foundations on soft rock subjected to cyclic loading.

The Repeat Heat Treatment Behavior of Double Remelted Fe-Co Ultra-high Strength Steel. - Part. 1 Microstructure Control (Fe-Co기 고인성 고강도강의 반복 열처리 거동 - Part 1. 조직제어)

  • Yoon, Bo-Hee;Park, Kyoung-Tae;Lee, Tae-Hyuk;Kim, Jae-Hoon;Kim, Hong-Kyu;Lee, Seong;Lee, Jong-Hyeon
    • Journal of Korea Foundry Society
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    • v.32 no.1
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    • pp.32-37
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    • 2012
  • In this study, microstructural evaluation was carried out on secondary hardening type ultrahigh strength steel, Fe-Co-Ni composition. This paper as a first part of whole research presented the microstructural behavior by cyclic heat treatment. The cyclic heat treatment method includes normalizing, stress relieving, solution treatment and aging. Especially, solution treatments performed triple times to get maximized solution hardening. Phase transformation and microstructure were observed by using optical microscope (OM), Electron back-scattered diffraction (EBSD) and X-ray stress analyzer. During the triple solution treatment, size of grain boundary was dramatically decreased by generating a packet from the martensite transformation of residual austenite in the inner part of grain, whereas the hardness increase was not significant.

Low Cycle Fatigue and Serration Behavior of Plastically Deformed and Annealed 5052 Al Alloy (5052 Al 합금의 소성가공 및 열처리에 따른 피로거동 및 serration의 변화)

  • Cha, J.H.;Kwun, S.I.
    • Journal of the Korean Society for Heat Treatment
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    • v.23 no.3
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    • pp.131-136
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    • 2010
  • The LCF (low cycle fatigue) behavior and the serration phenomena in the plastically deformed and non-deformed 5052 Al alloy were investigated. The plastic deformation was performed by 1 pass or 4 passes in ECAP (equal channel angular pressing) followed by annealing. Only cyclic hardening continued from the beginning until fracture at all strain amplitudes during LCF in the non-deformed alloy, which was caused by the increase in dislocation density during fatigue. Slight cyclic hardening followed by plateau until fracture was observed during LCF in the ECAPed alloy, which was caused by the slight increase in dislocation density in the beginning and then keeping constant in dislocation density afterward until fracture by forming subgrains in this stage of fatigue. The serrations on the stress-strain curves of this alloy were observed, which indicate that the dynamic strain aging (DSA) is occurring during plastic deformation. The variation in amplitudes of serration was studied by changing the strain rate in tensile or fatigue tests.

Endurance Life and Deformation Behavior under Thermo-mechanical Fatigue of Nb-added Heat Resistant Austenitic Stainless Steel (Nb 첨가 오스테나이트계 내열 스테인리스강의 열기계적 피로 수명 및 변형 거동)

  • Oh, Yong Jun;Park, Joong-Cheul;Yang, Won Jon
    • Korean Journal of Metals and Materials
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    • v.49 no.7
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    • pp.541-548
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    • 2011
  • Thermomechanical fatigue (TMF) behavior of heat resistant austenitic stainless steel was evaluated in the temperature range from 100$^{\circ}C$ to peak temperatures of 600 to 800$^{\circ}C$; The fatigue lives under TMF conditions were plotted against the plastic strain range and the dissipated energy per cycle. In the expression of the inelastic strain range versus fatigue life, the TMF data obtained at different temperature ranges were located close to a single line with a small deviation; however, when the dissipated energy per cycle, calculated from the area of the stress-strain hysteresis loops at the half of the fatigue life, was plotted against the fatigue life, the data showed greater scattering than the TMF life against the inelastic strain range. A noticeable stress relaxation in the stress-strain hysteresis curve took place at the peak temperatures higher than 700$^{\circ}C$, but all specimens in this study exhibited cyclic hardening behavior with TMF cycles. Recrystallization occurred during the TMF cycle concurrent with the formation of fine subgrains in the recrystallized region, which is considered to cause the cyclic hardening of the steel.