On the Development of New Test Techniques to Measure the Tensile Response of Materials at High and Ultra-high Strain Rates
Tóm tắt
There is a lack of reliable methods to obtain valid measurements of the tensile response of high performance materials such as fibre composites, ceramics and textile products at high rates of strain. We propose and assess two new test techniques aimed at measuring valid tensile stress versus strain curves at high and ultra-high strain rates. We conduct detailed, non-linear explicit Finite Element (FE) simulations of the transient response of the test apparatus and specimen during the tests and we develop simple analytical models to interpret the test measurements. We consider two test techniques: one based on the split Hopkinson bar apparatus, and suitable for strain rates of up to 1000 /s, and a second technique relying on projectile impact and aimed at measurements at strain rates higher than 1000 /s. The simulations are successfully validated using test data at strain rates of order 200 /s and then used to predict the test performance at strain rates up to approximately 5500 /s. We find that both techniques can give valid stress versus strain curves across a wide range of strain rates. We identify the limits of both techniques and recommend optimal measurement strategies for dynamic testing of materials with different ductility.
Tài liệu tham khảo
Kuhn H, Medlin D (2000) High Strain Rate Tension and Compression Tests, in ASM Book Vol 8, Mechanical testing and evaluation, ASM international
Hopkinson J (1872) On the rupture of iron wire by a blow. Proc Literary and Philosophical Society of Manchester 1:40–45; 119–121
Hopkinson B (1904) The effects of momentary stresses in metals. Proceedings of the Royal Society of London
Hopkinson B (1914) X. 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. Series A, Containing Papers of a Mathematical or Physical Character 213(497–508):437–456
Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proceedings of the physical society. Section B 62(11):676
Davies EDH, Hunter SC (1963) The dynamic compression testing of solids by the method of the split Hopkinson pressure bar. J Mech Phys Solids 11(3):155–179
Tagarielli VL, Deshpande VS, Fleck NA (2008) The high strain rate response of PVC foams and end-grain balsa wood. Compos B Eng 39(1):83–91
Pellegrino A, Tagarielli VL, Gerlach R, Petrinic N (2015) The mechanical response of a syntactic polyurethane foam at low and high rates of strain. International Journal of Impact Engineering 2015;75214–221
Hoggatt CR, Recht RF (1969) Stress-strain data obtained at high rates using an expanding ring. Exp Mech 9(10):441–448
Warnes RH, Karpp RR, Follansbee PS (1986) The freely expanding ring test-a test to determine material strength at high strain rates. Transactions of the ASME. J Eng Mater Technol 1986;108(4):335–9
Al-Maliky N, Parry DJ (1994) Measurements of high strain rate properties of polymers using an expanding ring method. Journal De Physique IV:JP 4(8): C8–71-C8–76
Zhang H, Ravi-Chandar K (2013) On the dynamics of necking and fragmentation - I. Real-time and post-mortem observations in Al 6061-O. Int J Fract 142(3–4):183–217
Zhang H, Ravi-Chandar K (2008) On the dynamics of necking and fragmentation - II. Effect of material properties, geometrical constraints and absolute size. Int J Fract 150(1–2): 3–36
Zhang H, Liechti K, Ravi-Chandar K (2009) On the dynamics of localization and fragmentation. III. Effect of cladding with a polymer. Int J Fract 155(2):101–18
Zhang H, Ravi-Chandar K (2010) On the dynamics of localization and fragmentation-IV. Expansion of Al 6061-O tubes. Int J Fract 163(1–2):41–65
Zhou J, Pellegrino A, Heisserer U, Duke PW, Curtis PT, Morton J, Petrinic N, Tagarielli VL (2019) A new technique for tensile testing of engineering materials and composites at high strain rates. Proceedings of the Royal Society A 475(2229):20190310
Zhou J, Tagarielli VL, Heisserer U, Curtis PT (2018) An Apparatus for Tensile Testing of Engineering Materials. Exp Mech 58(6):941–950
Zhou J, Tagarielli V, Heisserer U, Curtis P, Duke PW (2021) The sensitivity of the tensile properties of PMMA, Kevlar® and Dyneema® to temperature and strain rate. Polymer 225(26):123781
Roth FL, Driscoll RL, Holt WL (1942) Frictional properties of rubber. United States Bureau of Standards -- J Res 1942;28(4): 439–462
Arezoo S, Tagarielli VL, Siviour CR, Petrinic N (2013) Compressive deformation of Rohacell foams: Effects of strain rate and temperature. Int J Impact Eng 51:50–57
Siegkas P, Tagarielli VL, Petrinic N, Lefebvre LP (2011) The compressive response of a titanium foam at low and high strain rates. J Mater Sci 46(8):2741–2747
ANSYS GRANTA CES Edupack 2017
Schiffer A, Tagarielli VL, Petrinic N, Cocks AC (2012) The response of rigid plates to deep water blast: analytical models and finite element predictions. J Eng Mater Technol 79(6):061014
Schiffer A, Tagarielli VL (2012) The response of rigid plates to blast in deep water: fluid–structure interaction experiments. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468(2145):2807–2828
Schiffer A, Tagarielli VL (2017) Underwater blast loading of water-backed sandwich plates with elastic cores: Theoretical modelling and simulations. Int J Impact Eng 102:62–73
Lu YB, Li QM (2010) Appraisal of pulse-shaping technique in split Hopkinson pressure bar tests for brittle materials. International Journal of Protective Structures 1(3):363–390
Chen X, Ge L, Zhou J, Wu S (2015) Experimental study on split Hopkinson pressure bar pulse-shaping techniques for concrete. J Mater Civ Eng 28(5):04015196
Frew DJ, Forrestal MJ, Chen W (2002) Pulse shaping techniques for testing brittle materials with a split Hopkinson pressure bar. Exp Mech 42(1):93–106