• Title/Summary/Keyword: C(t)-적분

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平面應力 破壞靭性値 擧動에 관한 硏究

  • 송삼홍;고성위;정규동
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.376-385
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    • 1987
  • In this study, the plane stress fracture toughness and Tearing modulus are investigated for various crack ratios using the J integral. To evaluate the J integral and Tearing modulus, both experiments and estimation are used. The thickness of the low carbon steel specimens that is used in the experiments is 3mm. The type of specimen that is considered in the study is center-cracked-tension one. The measurements of crack length are performed by unloading compliance method. In the estimation of crack parameters such as the J integral and load line displacement, the Ramberg and Osgood stress strain law is assumed. Then simple formulas are given for estimating the crack parameters from contained yielding to fully plastic solutions. Obtained results are as follows; (1) When the crack ratio is in the range of 0.500 - 0.701, the plane stress fracture toughness is almost constant regardless of crack ratios. (2) The fracture toughness (J$\_$c/) and Tearing modulus (T) obtained are J$\_$c/=28.51kgf/mm, T=677.7 for base metal, J$\_$c/=31.85kgf/mm, T=742.0 for annealed metal. (3) Simpson's and McCabe's formulas which consider crack growth in estimating J integral are shown more conservative J and lower T than Rice's and Sumpter's. (4) Comparison of the prediction with the actual experimental measurements by Simpson's formula shows good agreement.

Evaluation of C(t)-integral for inner cracks of steel slab during reheating process (강재의 재가열공정시 내부 균열에 대한 C(t)-적분의 평가)

  • Lee, Kang-Yong;Kim, Jong-Sung;Lee, Hyo-Jin;Park, Sung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.695-703
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    • 1998
  • The crack problem of continuous casting slab due to the thermal stresses during the reheating process is analyzed using FEM. In this study, the C(t)-integral is calculated. As a result, the values of the C(t)-integral decrease by increasing the initial temperature of the slab and decreasing total heat flux. And those decrease by decreasing the heat flux of pre-heating zone and increasing the heat flux of heating zone.

The Thickness Effect on the Determination of Fracture Toughness Jic (파괴인성치 Jic 결정에 대한 시험편 두께의 영향에 관한 연구)

  • 고성위
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.24 no.2
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    • pp.83-93
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    • 1988
  • Recent Experimental results show that the J integral can be effectively used to obtain a valid parameter for predicting plane strain and plane stress fracture. However, only a few research results have been reported for the effect of thickness where the plane strain state can not be assumed. A purpose of this study is to find the behavior of fracture touhness and tearing modulus varing the specimen thickness. The type of specimen in the present study is compact tension (CT). The thicknesses of the low carbon steel specimens that are used in the experiments are 5, 10, 15, 20 and 25mm. The measurement of crack length is taken by optical measurements method. From the study, the followings are found; 1) The fracture toughness and the tearing modulus which are obtained by using Yoon's and Simpson's formula show more conservative than that by using Rice's and Merkel's. 2) The fracture toughness is increase in specimen thickness which is reached 15mm. Beyond this thickness the fracture toughness is decreased in specimen thickness. 3) In the case of CT specimen with the thickness ranging from 5 to 25mm, the tearing modulus which is applied the same J integral equation is almost constant. 4) By using Yoon's formula, the correlation of the plane slress fracture toughness J sub(C) with specimen thickness B is expressed as the following formula. J sub(C)/J sub(IC)=1.7-15.1(B/W)+112.9(B/W) super(2) -301.3(B/W) super(3) +260.6(B/W) super(4)

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Visco-Elastic Fracture Analysis of IC Package under Thermal Loading (열하중하에 있는 IC 패키지의 점탄성 파괴해석)

  • 이강용;양지혁
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.43-50
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    • 1998
  • The purpose of the paper is to protect the damage of plastic IC package with searching the cause of the fracture due to the delamination and crack when the encapsulant of plastic IC package is on viscoelastic behavior with the effect of creep on high temperature, The model for analysis is the plastic SOJ package with dimpled diepad in the IR soldering process of surface mounting technology. The risk of delamination with calculating the distribution of viscoelastic thermal stress in the package without the crack in the surface mounting process is checked. The package model with the perfect delamination between chip and diepad is chosen to estimate the resistance against fracture in thermal loading with calculating C (t)-integrals according to the change of the design. The optimum design to depress the delamination and crack is presented.

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A Simulation of Temperature Control of Greenhouse with Hot-Water Heating System (온수난방시스템 온실의 온도제어 시뮬레이션)

  • 정태상;하종규;민영봉
    • Journal of Bio-Environment Control
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    • v.8 no.3
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    • pp.152-163
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    • 1999
  • It is required to analyze the controlled response of air temperature in greenhouse according to control techniques for precise control. In this study, a mathematical model was established for air heating of greenhouse with hot-water heating system The parameters of the model were decided by regression analysis using reference data measured at the greenhouse being heated In the simulation for the digital control of air temperature in the greenhouse, the mathematical model to evaluate the control performances was used. Tested control methods were ON-OFF contpol, p control, rl control and PID control. The mathematical model represented by inside air temperature ( T$_{i}$), hot-water temperature (T$_{w}$) in heating pipe and outside air temperature (T$_{o}$) was expressed as a following discrete time equation ; T$_{i}$($textsc{k}$+1)= 0.851.T$_{i}$($textsc{k}$)+0.055.T$_{w}$($textsc{k}$)+0.094.T$_{o}$($textsc{k}$) Control simulations for various control methods showed the settling time, the overshoot and the steady state nor as follows; infinite time, 3.5$0^{\circ}C$, 3.5$0^{\circ}C$ for ON-OFF control : 30min 2.37$^{\circ}C$, 0.51$^{\circ}C$ for P control; 21min, 0.0$0^{\circ}C$, 0.23$^{\circ}C$ for PI control; 18min 0.0$0^{\circ}C$, 0.23$^{\circ}C$ for PID control, respectively. PI and PID controls appeared to be optimal control methods. There was no effect of differential gain on the heating process but much effect of integral gain on it.on it.

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Time-dependent Crack Growth in X20CrMoV 12 1 Steel Weld joint (X20CrMoV 12 1 강의 용접부에서의 균열진전 특성연구)

  • Lee, N.W.;Kim, K.S.;Chung, Y.K.;Park, J.J.
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.322-327
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    • 2000
  • This paper investigates the time-dependent crack growth in X20CrMoV 12 1 steel weld joints. Crack growth test are carried out $545^{\circ}C$ on side-grooved 1/2T CT specimens under static loads. A simulated material is produced for the intercritical HAZ, where fracture normally occurs. Constitutive properties are obtained for the simulated HAZ material as well as for the base metal and weld metal. Finite element analyses of crack growth are performed on the models with and without a HAZ layer, using the experimental crack length-time history. The inclusion of HAZ layer increase the load line velocities significantly. The crack growth rates are correlated reasonably well with $C^*$. The smallest crack size for the validity of $C^*$ is found much smaller than the ASTM crack initiation size for 1T CT specimen of creep ductile materials.

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Oxidation Stability Model of Fish Oil (어유의 산화안정성 예측)

  • Jeong-Hwa Hong;Jin-Woo Kim;Dae-Seok Byun
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.24 no.3
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    • pp.384-388
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    • 1995
  • High content of polyunsaturated fatty acid in fish oil makes it very susceptible to oxidation, which prevent fish oil from successful application to food processing or functional foods. To resolve this problem, oxidation stability model of fish oil was developed using the following differential equation : $dp/dt=k{\cdot}p(t){\cdot}[P_{max}\;-\;p(t)]$. This differential equation can be intergrated using analytical techniques to give : $p(t)=P_{max}/[1\;+\;[(P_{max}/P_{(0)})\;-\;-1]{\cdot}EXP(-K_p{\cdot}t)]$. At 50, 60, 70 and $80^{\circ}C,\;K_p$ were 0.00535, 0.01345, 0.02516 and 0.04675, respectively. The proposed model was well agreed with the measured data except for some minor deviations. In addition, $K_p$ was expressed as a function of temperature : $K_p=(1/P_{max})EXP\;[1\;-\;(8148/T)+20.1]$. Where T is absolute temperature($^{o}K$).

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Synthesis of Monodisperse Iron-oxide Nanoparticles from Fe(acac)3 Precursor (Fe(acac)3 전구체를 사용한 균일한 산화철 나노입자 제조)

  • Kim, Dong Young
    • Journal of the Korean Magnetics Society
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    • v.24 no.1
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    • pp.18-21
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    • 2014
  • The microwave absorption ($P_{tot}$), which is the double integration value of ferromagnetic resonance signal, propositional to the saturation magnetization, and the increase of the $P_{tot}$ measured during the thermal reaction time expect the growth process of the nanoparticles. Therefore, in this work, we measured the $P_{tot}$ in order to obtain the growth time of iron oxide nanoparticles after thermal decomposition of $Fe(acac)_3$ precursor at aging temperature $T_a=273$, 300 and $324^{\circ}C$, respectively. The best condition for monodisperse nanoparticles was obtained at $T_a=300^{\circ}C$, which condition showed the most rapid increase of $P_{tot}$ with thermal reaction time. Finally, the rapid growth rate was necessary condition for the synthesis of iron-oxide monodisperse nanoparticles.

Improved GRS80 Gravimetric Geoid in the South Korea Region (KGM93) (개선된 남한지역의 GRS80 중력지오이드 모델 (KGM93))

  • 조규전;이영진;조봉환
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.12 no.1
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    • pp.61-68
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    • 1994
  • Neglecting distant zones in the computation of geoidal heights using Stokes'formula give rise to some truncation errors. The GRS80 Korean Gravimetric geoid Model 1993(KGM93) of the South Korea region was implemented, in this paper, using a combination of satellite-derived GEM-T2 gravity and terrestrial gravity data. A spherical cap size of 30 degree is used on the integration and the truncation error is compensated to the free-air geoid. The results of this study show that the accuracy of the KGM93-C has one meter level.

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A study on fatigue crack growth with loading waveform and analysis method for all loading waveform at elevated temperature in SUS 304 stainless steel (SUS 304강의 하중파형에 따른 고온피로균열전파속도 및 전체하중파형의 평가방법의 연구)

  • 이상록;이학주;허정원;임만배
    • Journal of Ocean Engineering and Technology
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    • v.6 no.1
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    • pp.122-130
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    • 1992
  • The effect of loading waveform on elevated temperature low-cycle fatigue crack growth behavior in a SUS 304 stainless steel have been investigated under symmetrical trangular (fast-fast), trapezoidal and asymmetrical(fast-slow, slow-fast) waveforms at 650.deg. C. It was found that the crack growth rate in fast-slow loading waveform appeared to be higher a little and the crack growth rate in slow-fast loading waveform much higer than that in fast-fast loading waveform, and difference in crack growth rate between fast-show and slow-fast waveforms nearly didn't appear in the region of da/dN>10/sup -2/ The crack growth rate in the trapezoidal loading waveform with t/sub h/=500sec appeared to be faster than that in slow(500sec)-fast(1sec). In addition, parameter modified J-integral could be considered as useful parameter for fatigue crack growth rate in all waveforms. The result obtained are as follow. da/dN=4.91*10/sup -3/ (.DELTA. J/sub c/)/sup 0.565/.

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