• Title/Summary/Keyword: Cycle Ratio($N/N_f$

Search Result 29, Processing Time 0.022 seconds

A Study on Fatigue Damage Modelling in Cold Rolled Steel using X-ray Residual Stress (X선 잔류응력을 이용한 냉간압연강의 피로손상 모델링에 관한 연구)

  • Cho, Seok-Swoo;Joo, Won-Sik
    • Journal of Ocean Engineering and Technology
    • /
    • v.13 no.4 s.35
    • /
    • pp.55-62
    • /
    • 1999
  • Cold rolled steel has much plastic strain in the material surface produced by manufacturing process. The strain causes the variation of surface residual stress, in which influences the fatigue behavior under repeated loading. As experimental results, it was confirmed that the behavior of residual stress ${\sigma}_r$, with cycle N consisted of three stages except stress amplitude near fatigue limit in SPCC steel. On the first stage compressive residual stress decreased rapidly, on the second stage gradually, and on the last stage slightly. The relation between ${\sigma}_r$, and log N appeared linear behavior except the early part of cycle ratio $N/N_f$. The average gradient of ${\sigma}_r$, with respect to log N seemed to take a constant value without initial cycle ratio. On the other hand, the $N_f$ line was regressed by the first-order polynomial equation on ${\sigma}_r-log\;N_f$ diagram. Therefore, this study showed that both the gradient of ${\sigma}_r$, with respect to log N and the $N_f$ line was useful in predicting the cycle ratio $N/N_f$.

  • PDF

Prediction of Fatigue Life in 2024-73 Aluminum Using X-ray half-value breadth

  • Kim, Soon-Ho;Cho, Seok-Swoo;Park, Jung-Hyeon
    • International Journal of Precision Engineering and Manufacturing
    • /
    • v.3 no.2
    • /
    • pp.78-86
    • /
    • 2002
  • In general, X-ray diffraction method detects the changes of crystal lattice under material surface using the angle of diffraction 2$\theta$. This technique which deals with in the presented paper can be applied to a behavior on the slipped band or the micro crack cause to material degradation. The relation between half-value breadth and cycle numbers shows three stages, which consist of rapid decrease in the initial cycle, slight decrease in the middle cycle, and then rapid decrease in the final cycle. The ratio of half-value breadth has a constant value on B/B$\_$0/ - N diagram under the loading condition except early part of fatigue life. The ratio of half-value breadth B/B$\_$0/ - log N$\_$f/ with respect to number of cycle to failure N$\_$f/ has linear behavior on B/B$\_$0/ - log N$\_$f/ diagram. Therefore, the evaluation of fatigue life by the average gradient has much less mean error than the estimation of fatigue life by log B/B$\_$0/ - log N/N$\_$f/ relation.

A Fatigue Life Prediction by Growth Characteristics of a Small Surface Crack (작은 표면균열의 성장특성에 의한 수명예측)

  • Suh, Chang-Min;Lim, Chang-Soon;Gang, Yong-Gu
    • Journal of Ocean Engineering and Technology
    • /
    • v.3 no.2
    • /
    • pp.617-617
    • /
    • 1989
  • This paper deals with a fatigue life prediction of a surface crack based on the experimentally obtained relationship between surface crack length ratio $a/a_{f}$ and cycle ratio $N/N_{f}$ using micro computer. Firstly $a/a_{f}$-$N/N_{f}$ curves obtained from experimental tests, were assumed as three curves UC(the upper limit curve), LC(the lower limit curve) and MC(the middle curve), and these were utilized to predict the fatigue life. Comparing the calculated values which represent the characteristics of crack growth behaviors from the three assumed curves with the experimental ones, it has been found that in the stable crack growth region, they coincide reasonably well each other. And the differences between the fatigue lives obtained from the assumed curves and the experimental fatigue life did not exceed 20%. Using the characteristics of $a/a_{f}$-$N/N_{f}$ curves, it is possible to predict the da/dN-Kmax curves and the S-$N_{f}$ curves.

A Study of Fatigue Damage Model using Neural Networks in 2024-T3 Aluminium Alloy (신경회로망을 이용한 Al 2024-T3 합금의 피로손상모델에 관한 연구)

  • 홍순혁;조석수;주원식
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.10 no.4
    • /
    • pp.14-21
    • /
    • 2001
  • To estimate crack growth rate and cycle ratio uniquely, many investigators have developed various kinds of mechanical parameters and theories. But, thes have produced local solution space through single parameter. Neural Networks can perform patten classification using several input and output parameters. Fatigue damage model by neural networks was used to recognize the relation between da/dN/N/N(sub)f, and half-value breadth ratio B/Bo, fractal dimension D(sub)f, and fracture mechanical parameters in 2024-T3 aluminium alloy. Learned neural networks has ability to predict both crack growth rate da/dN and cycly ratio /N/N(sub)f within engineering estimated mean error(5%).

  • PDF

A Fatigue Life Prediction by Growth Characteristics of a Small Surface Crack (작은 표면균열의 성장특성에 의한 수명예측)

  • Suh, Chang-Min;Lim, Chang-Soon;Gang, Yong-Gu
    • Journal of Ocean Engineering and Technology
    • /
    • v.3 no.2
    • /
    • pp.108-117
    • /
    • 1989
  • This paper deals with a fatigue life prediction of a surface crack based on the experimentally obtained relationship between surface crack length ratio $a/a_{f}$ and cycle ratio $N/N_{f}$ using micro computer. Firstly $a/a_{f}$-$N/N_{f}$ curves obtained from experimental tests, were assumed as three curves UC(the upper limit curve), LC(the lower limit curve) and MC(the middle curve), and these were utilized to predict the fatigue life. Comparing the calculated values which represent the characteristics of crack growth behaviors from the three assumed curves with the experimental ones, it has been found that in the stable crack growth region, they coincide reasonably well each other. And the differences between the fatigue lives obtained from the assumed curves and the experimental fatigue life did not exceed 20%. Using the characteristics of $a/a_{f}$-$N/N_{f}$ curves, it is possible to predict the da/dN-Kmax curves and the S-$N_{f}$ curves.

  • PDF

Surface Crack Behavior and the Fatigue Life Prediction of Notched Specimens (표면균열의 거동과 피로수명예측에 관한 연구)

  • 서창민;이정주;정은화;박희범
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.12 no.5
    • /
    • pp.1097-1103
    • /
    • 1988
  • This paper deals with surface crack behavior and the fatigue life prediction of notched specimens using the relation between surface crack length, a, and the cycle ratio, $N/N_{f}$. From the $a-N\;/\;N_{f}$ curves, UC(the upper limit curve), LC(the lower limit curve) and MC(the middle limit curve) were assumed and utilized to predict the fatigue life and crack growth rate. The data computed from the three assumed curves were compared with the experimental data. It has been found that in the stable crack growth region ($N/N_{f}=0.3-0.8$) fatigue life can be predicted within 20% errors. Using the characteristics of $a-N\;/\;N_{f}$ curve, it is possible to predict the $da/dN-K_{max}$ curve, the $da/dN-{\Delta}K_{{\varepsilon}_t}$ curve, and the $S-N_{f}$ curve.

A Study on the Prediction of Fatigue Damage in 2024-T3 Aluminium Alloy Using Neural Networks (신경회로망을 이용한 AI 2024-T3합금의 피로손상예측에 관한 연구)

  • Cho, Seok-Swoo;Jang, Deuk-Yul;Joo, Won-Sik
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.7
    • /
    • pp.168-177
    • /
    • 1999
  • Fatigue damage is the phenomena which is accumulated gradually with loading cycle in material. It is represented by fatigue crack growth rate da/dN and fatigue life ratio $N/N_{f}$. Fracture mechanical parameters estimating large crack growth behavior can calculate quantitative amount of fatigue crack growth resistance in engineering material. But fatigue damage has influence on various load, material and environment. Therefore, In this study, we propose that artificial intelligent fatigue damage model can predicts fatigue crack growth rate da/dN and fatigue life ratio $N/N_{f}$ simultaneously using fracture mechanical and nondestructive parameters.

  • PDF

A Study on the Prediction of Fatigue Life in 2024-T3 Aluminium using X-ray Half-Value Breadth (X선 반가폭을 이용한 Al 2024-T3 합금의 피로수명예측에 관한 연구)

  • 조석수;김순호;주원식
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.17 no.1
    • /
    • pp.145-152
    • /
    • 2000
  • X-ray diffraction method detects change of crystal lattice distance under material surface using diffraction angle 2$\theta$. This technique can be applied to the behavior on slip band and micro crack due to material degradation. The relation between half-value breadth and number of cycle has three stages which constitute rapid decrease in initial number of cycles, slight decrease in middle number of cycles and rapid decrease in final number of cycles. The ratio of half-value breadth takes a constant value on B/B$_{0}$-N diagram with loading condition except early part of fatigue life. The ratio of half-value breadth B/B$_{0}$ with respect to number of cycle to failure N$_{f}$ has linear behavior on B/B$_{0}$-log N$_{f}$ diagram. Therefore, in this paper the estimation of fatigue life by average gradient method has much less estimated mean error than the estimation of fatigue life by log B/B$_{0}$-log N/N$_{f}$ relation.elation.ation.

  • PDF

The Characteristics of Fatigue Cracks Emanating from Micro Hole Defects Located Opposite Position of the Shaft Cross Section (축 단면 내 대칭 위치의 미소 원공 결함에서 발생한 피로균열 특징)

  • Song, Sam-Hong;Bae, Jun-Su;Ahn, Il-Hyuk
    • Proceedings of the KSME Conference
    • /
    • 2001.06a
    • /
    • pp.211-216
    • /
    • 2001
  • The components with the circular cross section have the symmetric combination parts for rotating balance and the crack emanates from the symmetric combination parts. The symmetric cracks from symmetric combination parts make a decrease in the component fatigue life more than single crack. In this study, to estimate the behavior of symmetric cracks, the fatigue test was performed using rotary bending tester on the specimen with a symmetric defects in circular cross section. The material used in this study is Ni-Cr-Mo steel alloy. Under the same stress, the result from the rotary bending fatigue test turned out that the symmetric cracks made a decrease in the fatigue life by 35% more than single crack and the relation between log a and cycle ratio $N/N_f$ obtained linearly.

  • PDF

A Study on Fatigue Crack Growth and Life Modeling using Backpropagation Neural Networks (역전파신경회로망을 이용한 피로균열성장과 수명 모델링에 관한 연구)

  • Jo, Seok-Su;Ju, Won-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.3 s.174
    • /
    • pp.634-644
    • /
    • 2000
  • Fatigue crack growth and life is estimated by various fracture mechanical parameters but affected by load, material and environment. Fatigue character of component without surface notch cannot be e valuated by above-mentioned parameters due to microstructure of in-service material. Single fracture mechanical parameter or nondestructive parameter cannot predict fatigue damage in arbitrary boundary condition but multiple fracture mechanical parameters or nondestructive parameters can Fatigue crack growth modelling with three point representation scheme uses this merit but has limit on real-time monitoring. Therefore, this study shows fatigue damage model using backpropagatior. neural networks on the basis of X-ray half breadth ratio B/$B_o$ fractal dimension $D_f$ and fracture mechanical parameters can predict fatigue crack growth rate da/dN and cycle ratioN/$N_f$ at the same time within engineering estimated mean error(5%).