Study on computational methods applied to modelling of pulse shaper in split-Hopkinson bar

• Autorzy: Baranowski P. , Janiszewski J. , Malachowski J.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a possibility of numerical modelling of a copper shaper utilized in an SHPB device with additional attention paid to the proper bar-shaper interaction simulation. The pulse shaper was modelled with the use of three methods available in the commercial code, i.e., applying typical finite Lagrangian elements, meshless smoothed particle hydrodynamics (SPH) method and multi- material arbitrary Lagrangian–Eulerian (MM-ALE) formulation. Additionally, the authors performed a mesh (particles) sensitivity study and the assessment of its influence on the obtained incident pulse characteristics. Consequently, the results obtained from all numerical analyses were compared and validated with the experimental ones with a particular attention given to the shape of the incident pulse and copper shaper deformation. The paper describes also the investigation of a relationship between the contact (coupling) force and the impulse shape.

Słowa kluczowe

EN

HPB; copper shaper; numerical contact; FE analysis; experimental testing

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2014
• Tom: Vol. 66, nr 6
• Strony: 429--452
• Opis fizyczny: Bibliogr. 42 poz., rys. (w tym kolor.)

Twórcy

autor

Baranowski P.

• Faculty of Mechanical Engineering Military University of Technology Gen. Kaliskiego 2, 00-908 Warsaw, Poland

autor

Janiszewski J.

• Faculty of Mechatronics and Aviation Military University of Technology Gen. Kaliskiego 2, 00-908 Warsaw, Poland

autor

Malachowski J.

• Faculty of Mechanical Engineering Military University of Technology Gen. Kaliskiego 2, 00-908 Warsaw, Poland

Bibliografia

• 1. S. Ellwood, L.J. Griffiths, D.J. Parry, Materials testing at high constant strain rates, Journal of Physics E: Scientific Instruments, 15, 280–282, 1982.
• 2. J. Hopkinson, On the rupture of iron wire by a blow, Proc. Literary and Philosophical Society of Manchester, 40–45, 1872.
• 3. B. Hopkinson, The effect of momentary stress in metals, Proc. of the Royal Society of London, 498–507, 1905.
• 4. C.M. Roland, Mechanical behaviour of rubber at high strain rates, Rubber Chemistry and Technology, 79, 429–459, 2006.
• 5. B. Song, W. Chen, Split Hopkinson pressure bar techniques for characterizing soft materials, Latin American Journal of Solid and Structures, 2, 113–152, 2005.
• 6. W. Chen, F. Lu, D.J. Frew, M.J. Forrestal, Dynamic compressive testing of soft materials, Journal of Applied Mechanics, 69, 214–223, 2002.
• 7. T. Iwamoto, T. Nagai, T. Sawa, Experimental and computational investigations on strain rate sensitivity and deformation behavior of bulk materials made of epoxy resin structural adhesive, International Journal of Solids and Structures, 47, 2, 175–185, 2010.
• 8. D.J. Parry, A.G. Walker, P.R. Dixon, Hopkinson bar pulse smoothing, Measurement Science and Technology, 6, 443–446, 1995.
• 9. J. Janiszewski, The study of engineering materials under dynamic loading, Military University of Technology, Warsaw, 2012 [in Polish].
• 10. R. Chmielewski, L. Kruszka, W. Młodożeniec, The study of static and dynamic properties of 18G2 steel, Bulletin of MUT, 53, 31–45, 2004 [in Polish].
• 11. E.A. Pieczyska, R.B. Pecherski, S.P. Gadaj, W.K. Nowacki, Z. Nowak, M. Matyjewski, Experimental and theoretical investigations of glass-fibre reinforced composite subjected to uniaxial compression for a wide spectrum of strain rates, Archives of Mechanics, 58, 3, 273–291, 2006.
• 12. J. Hopkinson, Further experiments on the rupture of iron wire, Proc. Literary and Philosophical Society of Manchester, 119–121, 1872.
• 13. B. Hopkinson, A method of measuring the pressure produced in the detonation of high explosives or by the impact of bullets, Philosophical Transactions of the Royal Society of London, 213, 437–456, 1914.
• 14. R.M. Davies, A critical study of the Hopkinson pressure bar, Philosophical Transactions of the Royal Society of London, 240, 375–457, 1948.
• 15. H. Kolsky, An investigation of the mechanical properties of materials at very high rates of loading, Proc. of the Physical Society, 62, 676–700,1949.
• 16. K.F. Graff, Wave motion in elastic solids, Dover Publications, New York, 2004.
• 17. B. Song, W. Chen, Dynamic stress equilibration in split Hopkinson pressure bar tests on soft materials, Experimental Mechanics, 44, 3, 300–312, 2004.
• 18. D.J. Frew, M.J. Forrestal, W. Chen, Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar, Experimental Mechanics, 42, 1, 93–106, 2002.
• 19. J.R. Foley, J.C. Dodson, C.M. McKinion, Split Hopkinson bar experiments of preloaded interfaces, Proc. of the IMPLAST 2010 Conference, 2010.
• 20. C.E. Franz, P.S. Follansbee, I. Berman, J.W. Schroeder, High energy rate fabrication, American Society of Mechanical Engineers, 1984.
• 21. T.J. Cloete, A. V.d. Westhuizen, S. Kok, G.N. Nurick, A tapered striker pulse shaping technique for uniform strain rate dynamic compression of bovine bone, EDP Sciences, 901–907, 2009.
• 22. H. Ramirez, C. Rubio-Gonzalez, Finite-element simulation of wave propagation and dispersion in Hopkinson bar test, Materials and Design, 27, 36–44, 2006.
• 23. Z. Ping Yu, L. De Shun, P. You Duo, C. An Hua, Inverse approach to determine piston profile from impact tress waveform on given non-uniform rod, Transactions of Non-ferrous Metals Society of China, 11, 2, 297–300, 2001.
• 24. X.B. Li, T.S. Lok, J. Zhao, Dynamic characteristics of granite subjected to intermediate loading rate, Rock Mechanics and Rock Engineering, 38, 1, 21–39, 2005.
• 25. L.K. Seng, Design of a new impact striker bar for material tests in a split Hopkinson pressure bar, Civil Engineering Research Bulletin, 16, 70–71, 2003.
• 26. L. Wang, M. Xu, J. Zhu, S. Shi, A method of combined SHPB technique and BP neural network to study impact response of materials, Strain, 42, 149–158, 2006.
• 27. P. Baranowski, J. Malachowski, R. Gieleta, K. Damaziak, L. Mazurkiewicz, D. Kolodziejczyk, Numerical study for determination of pulse shaping design variables in SHPB apparatus, Bulletin of the Polish Academy of Sciences: Technical Sciences, 61, 2, 459–466, 2013.
• 28. C.F. Lewis, Properties and selection: nonferrous alloys and pure metals, Metals Handbook, American Society for Metals, 1979.
• 29. H.G. Baron, Stress/strain curves for some metals and alloys at low temperatures and high rates of strain, The Journal of the Iron and Steel Institute, 182, 354–365, 1956.
• 30. D.J. Frew, Dynamic response of brittle materials from penetration and split Hopkinson pressure bar experiments, US Army Corps of Engineers, Engineer Research and Development Centre, 2001.
• 31. R. Naghdabadia, M.J. Ashrafia, J. Arghavani, Experimental and numerical investigation of pulse-shaped split Hopkinson pressure bar test, Materials Science and Engineering A, 539, 285–293, 2012.
• 32. F. Benassi, M. Alves, Pulse shaping in the split Hopkinson pressure bar test, Proc. From the IV National Congress of Mechanical Engineering, 2006.
• 33. T. Jankowiak, A. Rusinek, T. Lodygowski, Validation of the Klepaczko–Malinowski model for friction correction and recommendations on split Hopkinson pressure bar, Finite Elements in Analysis and Design, 47, 1191–1208, 2011.
• 34. T. Iwamoto, T. Yokoyama, Effects of radial inertia and end friction in specimen geometry in split Hopkinson pressure bar tests: a computational study, Mechanics of Materials, 51, 97–109, 2012.
• 35. P. Wriggers, T.V. Van, E. Stein, Finite element formulation of large deformation impact-contact problems with friction, Computers and Structures, 37, 319–333, 1990.
• 36. S. Vulovic, M. Zivkovic, N. Grujovic, R.A. Slavkovic, Comparative study of contact problems solution based on the penalty and Lagrange multiplier approaches, J. Serbian Society for Computational Mechanics, 1, 1, 174–183, 2007.
• 37. J.O. Hallquist, LS-Dyna: Theoretical manual, California Livermore Software Technology Corporation, 2003.
• 38. P. Baranowski, J. Bukała, K. Damaziak, J. Małachowski, L. Mazurkiewicz, T. Niezgoda, Numerical description of dynamic collaboration between rigid flying object and net structure, Journal of Transdisciplinary Systems Science, 16, 1, 79–89, 2012.
• 39. H.G. Matthies, R. Niekamp, Numerical and algorithmic aspects of coupled problems, First South-East European Conference on Computational Mechanics, SEECCM-06, 31–38, 2006.
• 40. L.E. Schwer, Aluminium plate perforation: a comparative case study using Lagrange with erosion, multi-material MM-ALE and smooth particle hydrodynamics, Proc. from the 7th European LS-DYNA Conference, 2009.
• 41. G.R. Johnson, W.H. Cook, A constitutive model and data for metals subjected to large strains, high strain rated and high temperatures, Proc. from the 7th International Symposium on Ballistics, 1983.
• 42. D. Steinberg, Equation of state and strength properties of selected materials, Lawrence Livermore National Laboratory, Livermore, CA, 1906.