• Title/Summary/Keyword: Johnson-Cook Equation

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Dynamic Constitutive Equations of Auto-body Steel Sheets with the Variation of Temperature (II) - Flow Stress Constitutive Equation - (차체용 강판의 온도에 따른 동적 구성방정식에 관한 연구 (II) - 온도에 따른 동적 구성방정식 -)

  • Lee, Hee-Jong;Song, Jung-Han;Park, Sung-Ho;Huh, Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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    • pp.182-189
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    • 2007
  • This paper is concerned with the empirical flow stress constitutive equation of steel sheets for an auto-body with the variation of temperature and strain rate. In order to represent the strain rate and temperature dependent behavior of the flow stress at the intermediate strain rates accurately, an empirical hardening equation is suggested by modifying the well-known Khan-Huang-Liang model. The temperature and strain rate dependent sensitivity of the flow stress at the intermediate strain rate is considered in the hardening equation by coupling the strain, the strain rate and the temperature. The hardening equation suggested gives good correlation with experimental results at various intermediate strain rates and temperatures. In order to verify the effectiveness and accuracy of the suggested model quantitatively, the standard deviation of the fitted result from the experimental one is compared with those of the other two well-known empirical constitutive models such as the Johnson-Cook and the Khan-Huang-Liang models. The comparison demonstrates that the suggested model gives relatively well description of experimental results at various strain rates and temperatures.

Numerical Investigation of Deformation of Thin-walled Tube Under Detonation of Combustible Gas Mixture (가연성 연소 가스의 데토네이션에 의한 얇은 관 변형 모델링)

  • Gwak, Mincheol;Lee, Younghun;Yoh, Jai-Ick
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.1
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    • pp.11-19
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    • 2015
  • We present the results of a multi-material numerical investigation of the propagation of a combustible gas mixture detonation in narrow metal tubes. We use an experimentally tuned one step Arrhenius chemical reaction and ideal gas equation of state (EOS) to describe stoichiometric $H_2-O_2$ and $C_2H_4-O_2$ detonations. The purely plastic deformations of copper and steel tubes are modeled using the Mie-Gruneisen EOS and Johnson-Cook strength model. To precisely track the interface motion between the detonating gas and the deforming wall, we use the hybrid particle level-sets within the ghost fluid framework. The calculated results are validated against the experimental data because the results explain the process of the generation and subsequent interaction of the expansion wave with the high-strain-rate deformation of the walls.

Characterization of Dynamic Deformation Behavior of Al 7075-T6 at High Temperature by Using SHPB Technique (SHPB 기법을 사용한 고온에서의 Al 7075-T6 의 동적 변형 거동)

  • Lee, Ouk-Sub;Park, Jin-Su;Choi, Hye-Bin;Kim, Hong-Min
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.8
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    • pp.981-987
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    • 2010
  • The split Hopkinson pressure bar (SHPB) technique is extensively used to characterize material deformation behavior under high strain rate condition. In this study, the dynamic deformation behavior of aluminum 7075-T6 under a high strain rate and at a high temperature is investigated by using a modified SHPB set-up with the pulse shaper technique. The parameters used in the Johnson-Cook constitutive equation are determined by using the SHPB experimental results including the data on the effects of strain rate, temperature, strain hardening, and thermal softening of the material.

Hypervelocity Impact Analyses Considering Various Impact Conditions for Space Structures with Different Thicknesses (다양한 두께의 우주 구조물에 대한 다양한 충돌 조건의 초고속 충돌 해석 연구)

  • Won-Hee Ryu;Ji-Woo Choi;Hyo-Seok Yang;Hyun-Cheol Shin;Chang-Hoon Sim;Jae-Sang Park
    • Journal of Aerospace System Engineering
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    • v.17 no.4
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    • pp.43-57
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    • 2023
  • The hypervelocity impact simulations of space objects and structures are performed using LS-DYNA. Space objects with spherical, conical, and hollow cylindrical shapes are modeled using the Smoothed Particle Hydrodynamics (SPH). The direct and indirect impact zones of a space structure are modeled using the SPH and finite element methods, respectively. The Johnson-Cook material model and Mie-Grüneisen Equation of State are used to represent the nonlinear behavior of metallic materials in hypervelocity impact. In the hypervelocity impact simulations, various impact conditions are considered, such as the shape of the space object, the thickness of the space structure, the impact angle, and the impact velocity. The shapes of debris clouds are quantitatively classified based on the geometric parameters. Conical space objects provide the worst debris clouds for all impact conditions.

Prediction of the Constitutive Properties of Metal from Laser Peening Simulation (레이저 피닝 시뮬레이션을 통한 금속재료의 물성치 예측)

  • Yeo, In Kyu;Lim, Hyun Taek;Lim, Jong Bin;Jeong, Sung Ho
    • Laser Solutions
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    • v.16 no.1
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    • pp.15-19
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    • 2013
  • For numerical simulation of the deformation and residual stress development in metals during laser peening, the constitutive equations describing material behavior at various strain rates and plastic properties at high strain rate impact conditions are prerequisite. However, these parameters are often unknown for various engineering materials. In this study, the parameters of Johnson-Cook constitutive equation of duplex stainless steel were determined by comparing the residual stress profile predicted by numerical simulation using trial values and the measured residual stress profile with x-ray diffraction.

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Differences on Tension, Compression JC Constitutive Equation Parameter of Strain Rate Effect for Ti-6Al-4V (Ti-6Al-4V 변형률 속도 변화에 따른 인장, 압축형 JC 구성방정식 변수의 변화)

  • Woo, Sang-Hyun;Lee, Chang-Soo;Park, Lee-Ju
    • Korean Journal of Materials Research
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    • v.27 no.1
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    • pp.19-24
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    • 2017
  • This paper is concerned with a test method that can be used to investigate the parameters of the Johnson-Cook constitutive model. These parameters are essential for accurately analyzing material behavior under impact loading conditions in numerical simulation. Ti-6Al-4V alloy (HCP crytal structure) was used as a specimen for the experiments. In the $10^{-3}-10^3/s$ strain rate range, three types of experimental methods (convention, compression and tension) were employed to compare the differences using MTS-810, SHPB and SHTB. Finite element analysis results when applying these parameters were displayed along with the experiment results.

Measurement of Mechanical Properties for Hot Press Forming (열간프레스성형에서의 기계적 물성 측정)

  • Ahn, Kang-Hwan;Yoo, Dong-Hoon;Seok, Dong-Yoon;Kim, Hong-Gee;Park, Sung-Ho;Chung, Kwan-Soo
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.450-453
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    • 2009
  • In order to overcome drawbacks of the advanced high strength steel such as inferior formability and large springback, the hot press forming process(HPF) has been being applied for forming of automotive sheet parts. Good formability and dimensional accuracy without springback as well as good crash performance of final products are the advantages of the HPF process. In this work, a method to characterize the mechanical properties of the HPF steel was developed based on the simple tension test at high temperatures and its finite element analysis, while it was applied to obtain strain rate and temperature dependent flow curves of the HPF steel. The final flow curves were represented by utilizing the Johnson-Cook type equation both in uniform and post-uniform deformation regions.

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Characteristics of Constitutive Equations under Rod Impact Analysis by Smoothed Particle Hydrodynamics (SPH를 이용한 봉충돌 해석에서 구성방정식의 특성)

  • 김용환;김용석;이정민
    • Journal of the Korea Institute of Military Science and Technology
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    • v.6 no.3
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    • pp.62-73
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    • 2003
  • The characteristics of constitutive equations, for hydrocodes, were Investigated by the comparison between the smoothed particle hydrodynamcis simulation and the experiment of rod impact test which resulted in a deformation history of impacting front where high strain and high strain rate dominate. The constitutive equations used in the simulation Is J-C(Johnson-Cook) model, Z-A(Zerilli-Armstrong) model, and S-C-G(Steinberg-Cochran-Guinan) model. The modification of Z-A model, based on the increased effect of strain-rate hardening, showed better correlation with expriment.

Experimental Studies on Tension, Compression JC Constitutive Equation Parameter of Strain Rate Effect for AISI-4340 (AISI-4340 변형률 속도 변화에 따른 인장, 압축형 JC 구성방정식 변수에 관한 연구)

  • Woo, Sanghyun;Lee, Changsoo;Park, Leeju
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.4
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    • pp.520-527
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    • 2017
  • In this study, the experimental methods are compared for obtaining the parameters of the Johnson-Cook constitutive model. The parameters used for numerical simulation are very important in making an accurate estimation of numerical simulation. So, the testing method of obtaining the parameters is also very important. We compared the difference of conventional method, compression method and tensile method of AISI-4340 steel at various strain rate by using MTS, SHPB and SHTB. Taylor impact test and M&S were carried out to compare differences among these three types of JC constitutive parameter.

Develop of Strain Measurement and Characterization of Mechanical Behavior for Hot Press Forming (열간프레스성형에서의 변형 측정장치 개발 및 기계적 거동의 물성화)

  • Yoo, Dong-Hoon;Seok, Dong-Yoon;Kim, Don-Gun;Ahn, Kang-Hwan;Son, Hyun-Sung;Kim, Gyo-Sung;Chung, Kwan-Soo
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.10a
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    • pp.198-201
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    • 2009
  • As a way to improve the safety of automotives and to reduce the weight of vehicles, new forming technologies and advanced materials are in high demand in the automotive industry. However, the advanced strength steel has inferior formability and large springback. In order to overcome such drawbacks, the hot press forming process (HPF) has been being applied for forming of automotive sheet parts. In this work, new equipment was suggested to measure unlimited displacement range compared to previous one which was able to measure only up to 10mm displacement range. The external extensometer connected with grips by wire was applied to equipment so that total strain range was measured up to failure also in high temperature. And the finite element analysis was conducted to characterize the mechanical properties of the HPF steel. Finally, the flow curves were represented by utilizing the Johnson-Cook type equation both in uniform and post-uniform deformation regions.

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