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

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Reliability Estimation and Dynamic Deformation of Polymeric Material Using SHPB Technique and Probability Theory

SHPB 기법과 확률이론을 이용한 고분자재료의 동적거동특성 및 건전성 평가

  • Published : 2008.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

The conventional Split Hopkinson Pressure Bar (C-SHPB) technique with aluminum pressure bars to achieve a closer impedance match between the pressure bars and the specimen materials such as hot temperature degraded POM (Poly Oxy Methylene) and PP (Poly Propylene) to obtain more distinguishable experimental signals is used to obtain a dynamic behavior of material deformation under a high strain rate loading condition. An experimental modification with Pulse shaper is introduced to reduce the nonequilibrium on the dynamic material response during a short test period to increase the rise time of the incident pulse for two polymeric materials. For the dynamic stress strain curve obtained from SHPB experiment under high strain rate, the Johnson-Cook model is applied as a constitutive equation, and we verify the applicability of this constitutive equation to the probabilistic reliability estimation method. The methodology to estimate the reliability using the probabilistic method such as the FORM and the SORM has been proposed, after compose the limit state function using Johnson-Cook model. It is found that the failure probability estimated by using the SORM is more reliable than those of the FORM, and the failure probability increases with the increase of applied stress. Moreover, it is noted that the parameters of Johnson-Cook model such as A and n, and applied stress affect the failure probability more than the other random variables according to the sensitivity analysis.

Keywords

References

  1. Kolsky, H., 1949, “Stress wave in solid,” Dover, New York
  2. Hopkinson, B., 1941, “A Method of Measuring the Pressure Produced in the Detonation of Explosives or by the Impact of Bullets,” Phil. Trans. A., Vol. 213, pp. 437 https://doi.org/10.1098/rsta.1914.0010
  3. Pochhammer, L., 1876, “On the Propagation Velocities of Small Oscillations in an Unlimited Isotropic Circular Cylinder,” J. Reine Angewandte Math., Vol. 81, p. 324
  4. Davies, R. M., 1948, “An Critical Study of the Hopkinson Pressure Bar,” Phil. Tran. A., Vol. 240, pp. 375 https://doi.org/10.1098/rsta.1948.0001
  5. Follansbee, P. S., 1985, “The Hopkinson Bar, in Metals Handbook Ninth Edition, Mechanical Testing,” American Society for Metals, Vol. 8, pp. 198-203
  6. Lee, O. S. and Kim, G. H., 2000, “Thickness Effects on Mechanical Behavior of a Composite Material(1001P) and Polycarbonate in Split Hopkinson Pressure Bar Technique,” Journal of Materials Science Letters, Vol. 19, pp.1805-1808 https://doi.org/10.1023/A:1006786122575
  7. Gray, G. T., 2000, “ASM handbook Vol.8, Mechanical Testing and Evaluation,” ASM International Material park, U.S.A
  8. Chen, H., Song, B., Frew, D. J. and Forrestal, M. J., 1989, “Dynamic Small Strain Measurement of a Metal Specimen with a Split Hopkinson Pressure Bar,” Experimental Mechanics, Vol. 43, pp. 20-23 https://doi.org/10.1007/BF02410479
  9. Chree, C., 1889, “The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Coordinates, Their Solutions and Applications,” Cambridge Phil. Soc. Trans., Vol. 14, pp. 250
  10. Ahammed, M., 1998 “Probabilistic estimation of remaining life of a pipeline in the presence of active corrosion defects,” International Journal of Pressure Vessels and piping, Vol. 75, No. 4, pp. 321-329 https://doi.org/10.1016/S0308-0161(98)00006-4
  11. Herbert, H., 2004, “Systems Reliability and Failure Prevention,” Artech House, London
  12. Lee, O. S. and Kim, D. H., 2006, “The Reliability Estimation of Pipeline Using FORM, SORM and Monte Carlo Simulation with FAD,” Journal of Mechanical Science and Technology, Vol. 20, No. 12, pp. 2124-2135 https://doi.org/10.1007/BF02916329
  13. Mahadevan, S. and Haldar, A., 2000, “Reliability Assessment Using Stochastic Finite Element Analysis,” John Wiley & Sons
  14. Mahadevan, S. and Haldar, A., 2000, “Probability, Reliability and Statistical Method in Engineering Design,” John Wiley & Sons
  15. Melchers, R. E., 1987, “Structural Reliability Analysis and Prediction,” John Willey & Sons
  16. Lee, O. S. and Kim D. H., 2005, “Reliability Estimation of Buried Gas Pipelines in terms of Various Types of Random Variable Distribution,” International Journal of KSME, Vol. 19, No. 6, pp. 1280-1289 https://doi.org/10.1007/BF02984048

Cited by

  1. Infill Print Parameters for Mechanical Properties of 3D Printed PLA Parts vol.17, pp.4, 2018, https://doi.org/10.14775/ksmpe.2018.17.4.009
  2. Fatigue Test of 3D-printed ABS Parts Fabricated by Fused Deposition Modeling vol.17, pp.3, 2018, https://doi.org/10.14775/ksmpe.2018.17.3.093