Dynamic behavior of polymers at high strain-rates based on split Hopkinson pressure bar tests

International Journal of Impact Engineering

Volumn 38, Issue 1, 2011, Pages 41-50

  Lu, Y B ^a   Li, Q M ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Drucker Prager model; Lateral confinement; Polymers; Split Hopkinson pressure bar; Strain rate effects

Indexed keywords

DRUCKER PRAGER MODEL; DYNAMIC BEHAVIORS; DYNAMIC CONSTITUTIVE EQUATION; DYNAMIC YIELD; HIGH STRAIN RATES; HIGH STRAINS; KINETIC FRICTION MODEL; LATERAL CONFINEMENT; NUMERICAL PREDICTIONS; PEAK STRESS; SHPB TEST; SPLIT HOPKINSON PRESSURE BAR TECHNIQUES; SPLIT HOPKINSON PRESSURE BAR TEST; SPLIT HOPKINSON PRESSURE BARS; STRAIN RATE DEPENDENCE; STRAIN RATE EFFECT; STRAIN-RATE EFFECTS; TEMPERATURE EFFECTS;

BRIDGE DECKS; CONSTITUTIVE EQUATIONS; MECHANICAL TESTING; POLYMERS; YIELD STRESS;

STRAIN RATE;

EID: 78049455710     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2010.08.001     Document Type: Article

References (72)

1. W.N. Chen, F. Lu, and M. Cheng Tension and compression tests of two polymers under quasi-static and dynamic loading Polym Test 21 2002 113 121
2. J. Richeton, S. Ahzi, K.S. Vecchio, F.C. Jiang, and R.R. Adharapurapu Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress Int J Solids Struct 43 2006 2318 2335
3. S.M. Walley, J.E. Field, P.H. Pope, and N.A. Safford A study of the rapid deformation behavior of a range of polymers Phil Trans R Soc Lond A 328 1989 1 33
4. N.N. Dioh, A. Ivankovic, P.S. Leevers, and J.G. Williams Stress wave propagation effects in split Hopkinson pressure bar tests Proc R Soc London A 499 1995 187 204
5. H. Kolsky An investigation of the mechanical properties of materials at very high rates of loading Proc Phys Soc London B 62 1949 676 700
6. E.D.H. Davies, and S.C. Hunter The dynamic compression testing of solids by the method of the split Hopkinson bar J Mech Phys Solids 11 1963 155 179
7. J.B. Haddow On compression of thin disk Int J Mech Sci 7 1965 657 660
8. S.K. Samanta Dynamic deformation of aluminium and copper at elevated temperature J Mech Phys Solids 19 1971 117 122
9. D.A. Gorham Specimen Inertia in high strain-rate compression J Phys D Appl Phys. 22 1989 1888 1893
10. D.A. Gorham An effect of specimen size in the high strain rate compression test J Phys IV C3 1991 411 418
11. D.A. Gorham, P.H. Pope, and O. Cox Sources of error in very high strain rate compression tests Inst Phys Conf Ser 70 1984 151 158
12. D.A. Gorham, P.H. Pope, and J.E. Field An improved method for compressive stress-strain measurements at very high strain rates Proc R Soc Lond A 438 1992 153 170
13. J.Z. Malinowski, and J.R. Klepaczko A unified analytic and numerical approach to specimen behaviour in the split-Hopkinson pressure bar Int J Mech Sci 28 1986 381 391
14. O.S. Lee, and G.H. Kim Thickness effect on the mechanical behavior of a composite material (1001P) and polycarbonate in split Hopkinson pressure bar technique J Mater Sci Lett 19 2000 1805 1808
15. I. Benaceur, R. Othman, P. Guegan, A. Dhieb, and F. Damek Sensitivity of the flow stress of Nylon 6 and Nylon 66 to strain-rate Int J Mod Phys B 22 2008 1249 1254
16. U.S. Lindholm Some experiments with split Hopkinson pressure bar J Mech Phys Solids 12 1964 317 335
17. F.P. Bowden, and D. Tabor Friction: an introduction to tribology 1973 Anchor/Doubleday New York
18. L.D. Bertholf, and C.H. Karnes Two dimensional analysis of the split Hopkinson pressure bar system J Mech Phys Solids 23 1975 1 19
19. B.J. Briscoe, and R.W. Nosker The influence of interfacial friction on the deformation of high density polyethylene in a split Hopkinson pressure bar Wear 95 1984 241 262
20. B.J. Briscoe, and R.W. Nosker Flow stress of high density polyethylene at high rates of strain Polym Commun 26 1985 307 308
21. G.T. Gray Classic split-Hopkinson pressure bar testing Mechanical Testing and Evaluation vol. 8 2000 ASM Handbook Materials Park, OH 462-476
22. I.W. Hall, and M. Guden Split Hopkinson pressure bar compression testing of an aluminum alloy: effect of lubricant type J Mater Sci Lett 22 2003 1533 1535
23. H. Meng, and Q.M. Li Correlation between the accuracy of a SHPB test and the stress uniformity based on numerical experiments Int J Impact Eng 28 2003 537 555
24. A. Trautmann, C.R. Siviour, S.M. Walley, and J.E. Field Lubrication of polycarbonate at cryogenic temperatures in the split Hopkinson pressure bar Int J Impact Eng 31 2005 523 544
25. R.S. Hartley, T.J. Cloete, and G.N. Nurick An experimental assessment of friction effects in the split Hopkinson pressure bar using the ring compression test Int J Impact Eng 34 2007 1705 1728
26. Q.M. Li, and H. Meng About the dynamic strength enhancement of concrete-like materials in a split Hopkinson pressure bar test Int J Solids Struct 40 2003 343 360
27. J.E. Field, S.M. Walley, W.G. Proud, H.T. Goldrein, and C.R. Siviour Review of experimental techniques for high rate deformation and shock studies Int J Impact Eng 30 2004 725 775
28. P. Bardia, and R. Narasimhan Characterization of pressure-sensitive yielding in polymers Strain 42 2006 187 196
29. S.C. Chou, K.D. Robertson, and J.H. Rainey The effect of strain rate and heat developed during deformation on the stress-strain curve of plastics Exp Mech 13 1973 422 432
30. F. Rietsch, and B. Bouette The compression yield behaviour of polycarbonate over a wide range of strain rates and temperatures Eur Polym J 26 1990 1071 1075
31. N.N. Dioh, P.S. Leevers, and J.G. Williams Thickness effects in split Hopkinson pressure bar tests Polymer 34 1993 4230 4234
32. H. Eyring Viscosity, plasticity and diffusion as examples of absolute reaction rates J Chem Phys 4 1936 283 291
33. H. Zhao Study of specimen thickness effects in the impact tests on polymers by numeric simulations Polymer 39 1998 1103 1106
34. L. Song, and S.S. Hu Two-wave and three-wave method in SHPB data processing Explosion Shock Waves 25 2005 368 373 [in Chinese]
35. D.J. Frew, M.J. Forrestal, and W. Chen Pulse shaping techniques for testing elastic-plastic materials with a split Hopkinson pressure bar Exp Mech 45 2005 186 195
36. A. Arriaga, J.M. Lazkano, R. Pagaldai, A.M. Zaldua, R. Hernandez, and R. Atxurra Finite-element analysis of quasi-static characterization tests in thermoplastic materials: experimental and numerical analysis results correlation with ANSYS Polym Test 26 2007 284 305
37. T.E. Brady, and G.S.Y. Yeh Yielding behavior of glassy amorphous polymers J Appl Phys 42 1971 4622 4630
38. C.A. Pampillo, and L.A. Davis Volume change during deformation and pressure dependence of yield stress J Appl Phys 42 1971 4674 4679
39. T.T. Wang, H.M. Zupko, L.A. Wyndon, and S. Matsuoka Dimensional and volumetric changes in cylindrical rods of polymers subjected to a twist moment Polymer 23 1982 1407 1409
40. C.R. Siviour, S.M. Walley, W.G. Proud, and J.E. Field The high strain rate compressive behavior of polycarbonate and polyvinylidene difluoride Polymer 46 2005 12546 12555
41. W.N. Chen, and X. Zhang Dynamic response of Epon 828/T-403 under multiaxial loading at various temperatures ASME J Eng Mater Tech 119 1997 305 308
42. Z.H. Li, and J. Lambros Strain rate effects on the thermomechanical behavior of polymers Int J Solids Struct 38 2001 3549 3562
43. ABAQUS Theory Manual version 6.7-1 2007 Hibbitt, Karlson & Sorensen, Inc
44. P.B. Bowden, and J.A. Jukes The plastic flow of isotropic polymers J Mater Sci 7 1972 52 63
45. R.J. Young, and P.A. Lovell Introduction to polymers 2nd ed 1991 CRC Press pp.366
46. S.R. Chowdhury, and R. Narasimhan A finite element analysis of stationary crack tip fields in a pressure sensitive constrained ductile layer Int J Solids Struct 37 2000 3079 3100
47. D. Rittel, and A. Brill Dynamic flow and failure of confined polymethylmethacrylate J Mech Phys Solids 56 2008 1401 1416
48. D. Rittel, and A. Dorogoy A methodology to assess the rate and pressure sensitivity of polymers over a wide range of strain rates J Mech Phys Solids 56 2008 3191 3205
49. K.A. Chowdhury, A.A. Benzerga, and R. Talreja A computational framework for analyzing the dynamic response of glassy polymers Comput Methods Appl Mech Eng 197 2008 4485 4502
50. R. Raghava, R. Caddell, and G. Yeh The macroscopic yield behaviour of polymers J Mater Sci Lett 8 1973 225 232
51. L. Carapellucci, and A. Yee The biaxial deformation and yield behavior of bisphenol-a polycarbonate: effect of anisotropy Polym Eng Sci 26 1986 920 930
52. R. Quinson, J. Perez, M. Rink, and A. Pavan Yield criteria for amorphous glassy polymers J Mater Sci 32 1997 1371 1379
53. Haufe A, Bois PD, Kolling S, Feucht M. A semi-analytical model for polymers subjected to high strain rates. In: Fifth European LS-Dyna users conference; 2005.
54. W.N. Chen, and H. Luo Dynamic compressive responses of intact and damaged ceramics from a single split Hopkinson pressure bar experiment Exp Mech 44 2004 295 299
55. LIGO note Blade process specification http://www.ligo.caltech.edu/ 2005 LIGO-T040108-00-K
56. A.D. Mulliken, and M.C. Boyce Mechanics of the rate-dependent elastic-plastic deformation of glassy polymers from low to high strain rates Int J Solids Struct 43 2006 1331 1356
57. A. Gavrus, P. Caestecker, E. Ragneau, and B. Davoodi Analysis of the dynamic SHPB test using the finite element simulation J Phys IV France 110 2003 353 358
58. A. Gavrus, J.-P. Le Baron, P. Caestecker, and E. Ragneau Investigation of high speed behaviour of ductile materials by computer simulation and Hopkinson experimental test Advances in Mechanical Behaviour, Plasticity and Damage Tours November 2000 535-40
59. U. Zencker, and R. Clos Limiting conditions for compression testing of flat specimens in the split Hopkinson pressure bar Exp Mech 39 1999 343 348
60. D.L. Grote, S.W. Park, and M. Zhou Dynamic behaviour of concrete at high strain rates and pressure: I. Experimental characterization Int J Impact Eng 25 2001 869 886
61. T. Hasegawa, and K. Okazaki Analysis of strain rate dependence of tensile elongation for a mechanical milling Al-1.1Mg-1.2Cu alloy tested at 748 K from a dislocation dynamics viewpoint Mater Sci Eng A 260 1999 294 300
62. G. Gary, and P. Bailly Behaviour of quasi-brittle material at high strain rate, experiment and modeling Eur J Mech A 17 1998 403 420
63. M. Zhang, H.J. Wu, Q.M. Li, and F.L. Huang Further investigation on the dynamic compressive strength enhancement of concrete-like materials based on split Hopkinson pressure bar tests Part I: experiments Int J Impact Eng 36 2009 1327 1334
64. Blumenthal WR, Cady CM, Lopez MF, Gray GTIII, Idar DJ. Influence of temperature and strain rate on the compressive behavior of PMMA and polycarbonate polymers. AIP Conf Proc 2002. p. 665-8.
65. Q.M. Li, Y.B. Lu, and H. Meng Further investigation on the dynamic compressive strength enhancement of concrete-like materials based on split Hopkinson pressure bar tests, Part II: numerical simulations Int J Impact Eng 36 2009 1335 1345
66. J. Richeton, S. Ahzi, L. Daridon, and Y. Rémond A formulation of the cooperative model for the yield stress of amorphous polymers for a wide range of strain rates and temperatures Polym 46 2005 6035 6043
67. J. Richeton, S. Ahzi, K.S. Vecchio, F.C. Jiang, and A. Makradi Modeling and validation of the large deformation inelastic response of amorphous polymers over a wide range of temperatures and strain rates Int J Solids Struct 44 2007 7938 7954
68. O. Gueguen, J. Richeton, S. Ahzi, and A. Makradi Micromechanically based formulation of the cooperative model for the yield behavior of semi-crystalline polymers Acta Mater 56 2008 1650 1655
69. Y. Duan, A. Saigal, R. Greif, and M.A. Zimmerman A uniform phenomenological constitutive model for glassy and semicrystalline polymers Polym Eng Sci 41 2001 1322 1328
70. Y. Duan, A. Saigal, R. Greif, and R.A. Zimmerman Impact behavior and modeling of engineering polymers Polym Eng Sci 43 2003 112 124
71. Z.N. Yin, and T.J. Wang Deformation of PC/ABS alloys at elevated temperatures and high strain rates Mater Sci Eng A 494 2008 304 313
72. Meng H. Numerical split Hopkinson pressure bar (NSHPB) test and its applications in the assessment and improvement of SHPB test results, PhD dissertation. Nanyang Technological University, Singapore; 2002.