Browse > Article
http://dx.doi.org/10.3795/KSME-A.2008.32.9.740

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

Lee, Ouk-Sub (인하대학교 기계공학부)
Kim, Dong-Hyeok (인하대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.32, no.9, 2008 , pp. 740-753 More about this Journal
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
Split Hopkinson Pressure Bar(SHPB); High Strain Rate; Pulse Shaper; PP(Poly Propylene); POM(Poly Oxy Methylene); Reliability; FORM; SORM; Failure Probability; Reliability Index; Sensitivity Index; Johnson-Cook Model;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 1
연도 인용수 순위
1 Davies, R. M., 1948, “An Critical Study of the Hopkinson Pressure Bar,” Phil. Tran. A., Vol. 240, pp. 375   DOI
2 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   DOI   ScienceOn
3 Herbert, H., 2004, “Systems Reliability and Failure Prevention,” Artech House, London
4 Mahadevan, S. and Haldar, A., 2000, “Probability, Reliability and Statistical Method in Engineering Design,” John Wiley & Sons
5 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   DOI   ScienceOn
6 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   과학기술학회마을   DOI   ScienceOn
7 Mahadevan, S. and Haldar, A., 2000, “Reliability Assessment Using Stochastic Finite Element Analysis,” John Wiley & Sons
8 Melchers, R. E., 1987, “Structural Reliability Analysis and Prediction,” John Willey & Sons
9 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   과학기술학회마을   DOI   ScienceOn
10 Kolsky, H., 1949, “Stress wave in solid,” Dover, New York
11 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   DOI
12 Pochhammer, L., 1876, “On the Propagation Velocities of Small Oscillations in an Unlimited Isotropic Circular Cylinder,” J. Reine Angewandte Math., Vol. 81, p. 324
13 Follansbee, P. S., 1985, “The Hopkinson Bar, in Metals Handbook Ninth Edition, Mechanical Testing,” American Society for Metals, Vol. 8, pp. 198-203
14 Gray, G. T., 2000, “ASM handbook Vol.8, Mechanical Testing and Evaluation,” ASM International Material park, U.S.A
15 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
16 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   DOI