Characteristics of Constitutive Equations under Rod Impact Analysis by Smoothed Particle Hydrodynamics

SPH를 이용한 봉충돌 해석에서 구성방정식의 특성

  • Published : 2003.09.01

Abstract

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.

Keywords

References

  1. Johnson, G.R. and Cook, W.H., 1983, 'A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures', Seventh International Symposium on Ballistics, The Hague, The Netherlands
  2. Zerilli, F.J. and Armstrong, R.W., 1987, 'Dislocation-Mechanics-Based Constitutive Equations for Material Dynamics Calculations', J Appl. Phys., Vol.61, No.5, pp.1816-1825 https://doi.org/10.1063/1.338024
  3. Steinberg, D.J., Cochran, S.G., and Guinan, M.W., 1980, 'A Constitutive Model for Metals Applicable at High-strain-rate,' J. Appl. Phys., Vol.51, No.3, pp.1498-1504 https://doi.org/10.1063/1.327799
  4. 민옥기, 이정민, 남창훈, 황재준, 1993, '금속재료의 동적항복응력 결정을 위한 봉충ㅇ격시험법,' 대한기계학회논문집, 제17권, 제1호, pp.78-89
  5. Wilson, L.L., House, J.W., and Nixon, M., 1989, 'Analysis of Time Resolvable Data from Cylinder Impact Test', AFATL TR-89-76
  6. Johnson, G.R. and Holmquist, T.J., 1988, 'Evaluation of Cylinder-Impact Test Data for Constitutive Model Constants', J. Appl. Phys., Vol.64, No.8, pp.3901-3910 https://doi.org/10.1063/1.341344
  7. Zukas, J.A., 1990, High Velocity Impact Dynamics, John Wiley & Sons, Inc
  8. Lucy, L.B., 1977, 'A Numerical pproach to the Testing of the Fission Hypothesis,' Astron. J., Vol.82, pp.1013-1020
  9. Libersky, L.D. and Petschek, A.G., 1990, 'Smoothed Particle Hydrodynamics with Strength of Materials,' Advances in the Free-Lagrangian Method, Lecture Notes in Physics, Vol.395
  10. Libersky, L.D., Petschek, A.G., Carney, T.C., Hipp, J.R., and Allahdadi, F.A., 1993, 'High Strain Lagrangian Hydrodynamics,' J. Comp. Phys., Vol.109, pp.67-75 https://doi.org/10.1006/jcph.1993.1199
  11. Petschek, A.G. and Libersky, L.D., 1993, 'Cylindrical Smoothed Particle Hydrodynamics,' J. Comp. Phys., Vol.109, pp.76-83 https://doi.org/10.1006/jcph.1993.1200
  12. Erlich, D.C., and Shockey, D.A., and Seaman, L., 1981, 'Symmetric Rod Impact Technique for Dynamic Yield Determination,' AIP Conference Proceedings, No.78, 2nd Topical Conference on Shock Waves in Condensed Matter, Menlo Park, CA
  13. Erlich, D.C., and D.A. Shockey, 1983, 'Dynamic Flow Curve of 4340 Steel, as Determined by the Symmetric Rod Impact Test,' AIP Conference on Shock Waves in Condensed Matter
  14. EIrich, D.C., and Chartagnac, P., 1985, 'Determination of Dynamic Flow Curve of Metals at Ambient and Elevated Temperature by Rod Impact Techniques,' J. De Physique, Colloque C5, Supplement Au No.8, Tome 46, pp.455-462
  15. Schmidt, C.G., Caligiuri, R.D., Giovanda, J.H., and Erlich, D.C., 1991, 'Effect of Grain Size on High Strain Rate Deformation of Copper,' Metal. Trans. A, Vol.22A, p.2349-2357
  16. Kuscher, G.F., Hohler, V., and Stilp, A.J., 1983, 'Non-linear propagation of elasto-platic waves in rods', in Shock Waves in Condensed Matter : 1983, Plenum, pp.371-381
  17. SPH User Manual & Tutorial, Revision 3.3, 1999, Century Dynamics Inc