Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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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 -

  • 이희종 (한국과학기술원 기계공학과) ;
  • 송정한 (한국과학기술원 기계공학과) ;
  • 박성호 (포스코 자동차강재연구센터) ;
  • 허훈 (한국과학기술원 기계공학과)
  • Published : 2007.02.01
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Abstract

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.

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References

  1. Huh, H., Lim, J. H., Song, J. H., Lee, K. S., Lee, Y. W and Han, S. S., 2003, 'Crashworthiness Assessment of Side Impact of an Auto-Body with 60 TRIP Steel for Side Member', Int. J. Automotive Technology, Vol. 4, No.3, pp.149-156
  2. Meyers, M. A., 1994, Dynamic Behavior of Materials, John Wiley & Sons, New York
  3. Zukas J. A., Nicholas, T., Swift, H. F., Greszczuk, L. B. and Curran, D. R., 1982, Impact Dynamics, John Wiley & Sons, New York
  4. Hoge, K. G. and Mukherjee, A. K., 1977, 'Temperature and Strain Rate Dependence of the Flow Stress of Tantalum', J. Mater Sci., Vol. 12, No. 8, pp. 1666-1672 https://doi.org/10.1007/BF00542818
  5. Zerilli, F. J. and Armstrong, R. W., 1987, 'Dislocation-mechanics-based Constitutive Relations for Material Dynamics Calculation', J. Appl. Phys., Vol. 61, No. 5, pp. 1816-1825 https://doi.org/10.1063/1.338024
  6. Jones, N., 1989, Structural Impact, Cambridge University Press, Cambridge
  7. Johnson, G. R. and Cook, W. H., 1985, 'Fracture Characteristics of Three Metals Subjected to Various Strains, Strain rates, Temperatures and Pressures', Eng. Frac. Mech., Vol. 21, pp. 31-48 https://doi.org/10.1016/0013-7944(85)90052-9
  8. Liang, R. and Khan, A. S., 1999, 'A Critical Review of Experimental Results and Constitutive Models for BCC and FCC Metals over a Wide Range of Strain Rates and Temperatures', Int. J. Plasticity, Vol. 15, pp. 963-980 https://doi.org/10.1016/S0749-6419(99)00021-2
  9. Kang, W. J., Cho, S. S., Huh. H and Chung, D. T., 1999, 'Modified Johnson–-Cook Model for Vehicle Body Crashworthiness Simulation', Int. J. Vehicle Des., Vol. 21, No. 4/5, pp. 424-435 https://doi.org/10.1504/IJVD.1999.005594
  10. Huh, H, Kang, W. J. and Han, S. S., 2002, 'A Tension Split Hopkinson Bar for Investigating the Dynamic Behavior of Sheet Metals', Exp. Mech., Vol. 42, No. 1, pp. 8-17 https://doi.org/10.1007/BF02411046
  11. Stevenson, R., 1982, 'Inferring Microscopic Deformation Behavior from the Form of Constitutive Equation for Low-Carbon Steel and 5182-0 Aluminum', Mechanical Testing for Deformation Model Development, ASTM STP 765, R. W. Rohde and J. C. Swearengen, Eds., ASTM, pp.366-381
  12. Lim, J. H., Kim, S. B., Kim, J. S., . Huh, H., Lim, J. D. and Park, S. H., 2005, 'High Speed Tensile Test of Steel Sheets for an Auto-body at the Intermediate Strain Rate', Transaction of KSAE, Vol. 13, No. 2, pp. 127-134

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