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Erschienen in: Experimental Mechanics 4/2007

01.08.2007

Miniaturized Compression Test at Very High Strain Rates by Direct Impact

verfasst von: J. Z. Malinowski, J. R. Klepaczko, Z. L. Kowalewski

Erschienen in: Experimental Mechanics | Ausgabe 4/2007

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Abstract

A modified miniaturized version of the Direct Impact Compression Test (DICT) technique is described in this paper. The method permits determination of the rate-sensitive plastic properties of materials up to strain rate ∼105 s−1. Miniaturization of the experimental setup with specimen dimensions: diameter d S = 2.0 mm and thickness l S = 1.0 mm, Hopkinson bar diameter 5.2 mm, with application of a novel optical arrangement in measurement of specimen strain, makes possible compression tests at strain rates from ∼103 s−1 to ∼105 s−1. In order to estimate the rate sensitivity of a low-alloy construction steel, quasi-static, Split Hopkinson Pressure Bar (SHPB) and DICT tests have been performed at room temperature within the rate spectrum ranging from 5*10−4 s−1 to 5*104 s−1. Adiabatic heating and friction effects are analyzed and the final true stress versus true strain curves at different strain rates are corrected to a constant temperature and zero friction. The results have been analyzed in the form of true stress versus the logarithm of strain rate and they show two regions of a constant rate sensitivity \( \beta = {\left( {{\Delta \sigma } \mathord{\left/ {\vphantom {{\Delta \sigma } {\log {\mathop \varepsilon \limits^ \cdot }}}} \right. \kern-\nulldelimiterspace} {\log {\mathop \varepsilon \limits^ \cdot }}} \right)}_{\varepsilon } \): relatively low up to the strain rate threshold ∼50 s−1, and relatively high above the threshold, up to strain rate ∼4.5*104 s−1.

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Literatur
1.
Zurück zum Zitat Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc London 62B:676. Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc London 62B:676.
2.
Zurück zum Zitat Lindholm US (1964) Some experiments with the Split Hopkinson Pressure Bar. J Mech Phys Solids 12(5):317.CrossRef Lindholm US (1964) Some experiments with the Split Hopkinson Pressure Bar. J Mech Phys Solids 12(5):317.CrossRef
3.
Zurück zum Zitat Davies EDH, Hunter SC (1963) The dynamic compression testing of solids by the method of the Split Hopkins Pressure Bar. J Mech Phys Solids 11:155.CrossRef Davies EDH, Hunter SC (1963) The dynamic compression testing of solids by the method of the Split Hopkins Pressure Bar. J Mech Phys Solids 11:155.CrossRef
4.
Zurück zum Zitat Lindholm US, Yeakley LM (1965) Dynamic deformation of single and polycrystalline aluminum. J Mech Phys Solids 13:41.CrossRef Lindholm US, Yeakley LM (1965) Dynamic deformation of single and polycrystalline aluminum. J Mech Phys Solids 13:41.CrossRef
5.
Zurück zum Zitat Harding J, Wood EO, Cambell JD (1960) Tensile testing of materials at impact rates of strain. J Mech Eng Sci 2:88. Harding J, Wood EO, Cambell JD (1960) Tensile testing of materials at impact rates of strain. J Mech Eng Sci 2:88.
6.
Zurück zum Zitat Nicholas T (1981) Tensile testing of materials at high rates of strain. Exp Mech 21:177.CrossRef Nicholas T (1981) Tensile testing of materials at high rates of strain. Exp Mech 21:177.CrossRef
7.
Zurück zum Zitat Duffy J, Campbell JD, Hawley RM (1971) On the use of a torsional Split Hopkinson Bar to study rate effects in 1100-0 aluminum. J Appl Mech 93(3):83. Duffy J, Campbell JD, Hawley RM (1971) On the use of a torsional Split Hopkinson Bar to study rate effects in 1100-0 aluminum. J Appl Mech 93(3):83.
8.
Zurück zum Zitat Senseny PE, Duffy J, Hawley RM (1978) Experiments on strain rate history and temperature effects during the plastic deformation of close-packed metals. J Appl Mech Trans ASME 45:60. Senseny PE, Duffy J, Hawley RM (1978) Experiments on strain rate history and temperature effects during the plastic deformation of close-packed metals. J Appl Mech Trans ASME 45:60.
9.
Zurück zum Zitat Campbell JD, Ferguson WG (1970) The temperature and strain - rate dependence of the shear strength of mild steel. Phila Mag 81:63.CrossRef Campbell JD, Ferguson WG (1970) The temperature and strain - rate dependence of the shear strength of mild steel. Phila Mag 81:63.CrossRef
10.
Zurück zum Zitat Harding J, Huddart J (1979) The use of the double–notch shear test in determining the mechanical properties of uranium at very high rates of strain. In: Proc. conf. on mech. prop. at high rates of strain, conf. ser. no. 47, Oxford, March, 49. Harding J, Huddart J (1979) The use of the double–notch shear test in determining the mechanical properties of uranium at very high rates of strain. In: Proc. conf. on mech. prop. at high rates of strain, conf. ser. no. 47, Oxford, March, 49.
11.
Zurück zum Zitat Dharan CKM, Hauser FE (1970) Determination of stress - strain characteristic at very high strain rates. Exp Mech 10:370.CrossRef Dharan CKM, Hauser FE (1970) Determination of stress - strain characteristic at very high strain rates. Exp Mech 10:370.CrossRef
12.
Zurück zum Zitat Malinowski JZ, Klepaczko JR (1986) A unified analytic and numerical approach to specimen behaviour in the SHPB. Int J Mech Sci 28:381.CrossRef Malinowski JZ, Klepaczko JR (1986) A unified analytic and numerical approach to specimen behaviour in the SHPB. Int J Mech Sci 28:381.CrossRef
13.
Zurück zum Zitat Gorham DA, Pope PH, Cox O (1984) Sources of error in very high strain rate compression tests. In: Proc. conf. on mech. prop. at high rates of strain, Oxford, conf. ser., 70, 151. Gorham DA, Pope PH, Cox O (1984) Sources of error in very high strain rate compression tests. In: Proc. conf. on mech. prop. at high rates of strain, Oxford, conf. ser., 70, 151.
14.
Zurück zum Zitat Lindholm US (1978) Deformation maps in the region of high dislocation velocity. In: Proc. IUTAM symposium on high velocity deformation of solids, Tokyo, 1977. Springer, Berlin Heidelberg New York, p 26. Lindholm US (1978) Deformation maps in the region of high dislocation velocity. In: Proc. IUTAM symposium on high velocity deformation of solids, Tokyo, 1977. Springer, Berlin Heidelberg New York, p 26.
15.
Zurück zum Zitat Gorham DA (1979) Measurement of stress–strain properties of strong metals at very high rates of strain. In: Proc. conf. on mech. prop. at high rates strain, conf. ser. no. 47, Oxford, March, 16. Gorham DA (1979) Measurement of stress–strain properties of strong metals at very high rates of strain. In: Proc. conf. on mech. prop. at high rates strain, conf. ser. no. 47, Oxford, March, 16.
16.
Zurück zum Zitat Kamler F, Niessen P, Pick RJ (1995) Measurement of the behavior of high purity copper at very high rates of strain. Can J Phys 73:295. Kamler F, Niessen P, Pick RJ (1995) Measurement of the behavior of high purity copper at very high rates of strain. Can J Phys 73:295.
17.
Zurück zum Zitat Safford NA (1992) Materials testing up to 105 s−1 using a miniaturized Hopkinson Bar with dispersion corrections. In: Proc. 2nd intl. symp. on intense dynamic loading and its efects, Sichuan University Press, Chengdu, China, 378. Safford NA (1992) Materials testing up to 105 s−1 using a miniaturized Hopkinson Bar with dispersion corrections. In: Proc. 2nd intl. symp. on intense dynamic loading and its efects, Sichuan University Press, Chengdu, China, 378.
18.
Zurück zum Zitat Jia D, Ramesh KT (2004) A rigorous assessment of the benefits of miniaturization in the Kolsky bar system. Exp Mech 44:445.CrossRef Jia D, Ramesh KT (2004) A rigorous assessment of the benefits of miniaturization in the Kolsky bar system. Exp Mech 44:445.CrossRef
19.
Zurück zum Zitat Klepaczko JR (2002) Advanced experimental techniques in materials testing. In: New experimental methods in material dynamics and impact, Inst. Fund. Technological Res., Polish Academy of Sciences, Warsaw, 223. Klepaczko JR (2002) Advanced experimental techniques in materials testing. In: New experimental methods in material dynamics and impact, Inst. Fund. Technological Res., Polish Academy of Sciences, Warsaw, 223.
20.
Zurück zum Zitat Wulf GL, Richardson GT (1974) The measurement of dynamic stress–strain relationships at very high strains. J Phys E: Sci Instrum 7:167.CrossRef Wulf GL, Richardson GT (1974) The measurement of dynamic stress–strain relationships at very high strains. J Phys E: Sci Instrum 7:167.CrossRef
21.
Zurück zum Zitat Wulf GL (1974) Dynamic stress–strain measurements at large strains. In: Mechanical properties at high rates of strain, conf. ser. no 21. The Inst. Phys. London, 48. Wulf GL (1974) Dynamic stress–strain measurements at large strains. In: Mechanical properties at high rates of strain, conf. ser. no 21. The Inst. Phys. London, 48.
22.
Zurück zum Zitat Gorham DA (1983) A numerical method for the correction of dispersion in pressure bar signals. J Phys E: Sci Instrum 16:477.CrossRef Gorham DA (1983) A numerical method for the correction of dispersion in pressure bar signals. J Phys E: Sci Instrum 16:477.CrossRef
23.
Zurück zum Zitat Shioiri J, Sakino K, Santoh S (1966) Strain rate sensitivity of flow stress at very high rates of strain. In: Kawata K, Shioiri J (eds) IUTAM symp. constitutive relation in high/very high strain rates. Springer, Berlin Heidelberg New York, p 49. Shioiri J, Sakino K, Santoh S (1966) Strain rate sensitivity of flow stress at very high rates of strain. In: Kawata K, Shioiri J (eds) IUTAM symp. constitutive relation in high/very high strain rates. Springer, Berlin Heidelberg New York, p 49.
24.
Zurück zum Zitat Sakino K, Shioiri J (1991) Dynamic flow stress response of aluminum to sudden reduction in strain rate at very high strain rates. J Phys IV, Colloque C3, France, 1, C3/35. Sakino K, Shioiri J (1991) Dynamic flow stress response of aluminum to sudden reduction in strain rate at very high strain rates. J Phys IV, Colloque C3, France, 1, C3/35.
25.
Zurück zum Zitat Ostwald D, Klepaczko JR, Klimanek P (1997) Compression tests of polycrystalline α- iron up to high strains over a large range of strain rates. J Phys IV, Colloque C3, France, 7, C3/385. Ostwald D, Klepaczko JR, Klimanek P (1997) Compression tests of polycrystalline α- iron up to high strains over a large range of strain rates. J Phys IV, Colloque C3, France, 7, C3/385.
26.
Zurück zum Zitat Bertholf LD, Karnes CH (1975) Two dimensional analysis of the Split Hopkinson Pressure Bar system. J Mech Phys Solids 23:1.CrossRef Bertholf LD, Karnes CH (1975) Two dimensional analysis of the Split Hopkinson Pressure Bar system. J Mech Phys Solids 23:1.CrossRef
27.
Zurück zum Zitat Gary G (2002) Some aspects of dynamic testing with wave-guides. In: New experimental methods in material dynamics and impact, Inst. Fund. Technological Res., Polish Academy of Sciences, Warsaw, 179. Gary G (2002) Some aspects of dynamic testing with wave-guides. In: New experimental methods in material dynamics and impact, Inst. Fund. Technological Res., Polish Academy of Sciences, Warsaw, 179.
28.
Zurück zum Zitat Gary G, Klepaczko JR, Zhao H (1991) Correction de dispersion pour l’analyse des petites déformations aux barre de Hopkinson. J Phys III, Colloque C3, France, 1, C3/403–C3/411. Gary G, Klepaczko JR, Zhao H (1991) Correction de dispersion pour l’analyse des petites déformations aux barre de Hopkinson. J Phys III, Colloque C3, France, 1, C3/403–C3/411.
29.
Zurück zum Zitat Ramesh KT, Narasimhan S (1996) Finite deformations and the dynamic measurement of radial strains in compression Kolsky bar experiments. Int J Solids Struct 33:3723.CrossRef Ramesh KT, Narasimhan S (1996) Finite deformations and the dynamic measurement of radial strains in compression Kolsky bar experiments. Int J Solids Struct 33:3723.CrossRef
30.
Zurück zum Zitat Siebel E (1923) Grundlagen zur Berechnung des Kraft und Arbeitbedorf bei Schmieden und Walzen. Stahl und Eisen 43:1295. Siebel E (1923) Grundlagen zur Berechnung des Kraft und Arbeitbedorf bei Schmieden und Walzen. Stahl und Eisen 43:1295.
31.
Zurück zum Zitat Montgomery RS (1976) Friction and wear at high sliding speeds. Wear 36:275.CrossRef Montgomery RS (1976) Friction and wear at high sliding speeds. Wear 36:275.CrossRef
32.
Zurück zum Zitat Avitzur B (1964) Forging of hollow discs. Isr J Technol 2(3):295. Avitzur B (1964) Forging of hollow discs. Isr J Technol 2(3):295.
33.
Zurück zum Zitat Ashton M, Perry DJ (2000) A constitutive relationship for metals compensated for adiabatic and friction effects. In: Proc. 6th int. conf. on mechanical and physical behaviour of materials under dynamic loading, Kraków, 263. Ashton M, Perry DJ (2000) A constitutive relationship for metals compensated for adiabatic and friction effects. In: Proc. 6th int. conf. on mechanical and physical behaviour of materials under dynamic loading, Kraków, 263.
34.
Zurück zum Zitat Klepaczko JR, Hauser FE (1969) Radial inertia in compression testing of materials. Technical report (internal), Division of Inorganic Materials, University of California, Berkeley. Klepaczko JR, Hauser FE (1969) Radial inertia in compression testing of materials. Technical report (internal), Division of Inorganic Materials, University of California, Berkeley.
35.
Zurück zum Zitat Samanta SK (1971) Dynamic deformation of aluminum and copper at elevated temperatures. J Mech Phys Solids 19:117.CrossRef Samanta SK (1971) Dynamic deformation of aluminum and copper at elevated temperatures. J Mech Phys Solids 19:117.CrossRef
36.
Zurück zum Zitat Klepaczko J, Malinowski Z (1978) Dynamic frictional effects as measured from the Split Hopkinson Pressure Bar. In: Kawata K, Shioiri J (eds) Proc. IUTAM symposium on high velocity deformation of solids, Tokyo, 1977. Springer, Berlin Heidelberg New York, p 63. Klepaczko J, Malinowski Z (1978) Dynamic frictional effects as measured from the Split Hopkinson Pressure Bar. In: Kawata K, Shioiri J (eds) Proc. IUTAM symposium on high velocity deformation of solids, Tokyo, 1977. Springer, Berlin Heidelberg New York, p 63.
37.
Zurück zum Zitat Malinowski JZ (1987) Cylindrical specimen compression analysis in the Split HopkinsonPressure Bar system. Eng Trans 35(4):551. Malinowski JZ (1987) Cylindrical specimen compression analysis in the Split HopkinsonPressure Bar system. Eng Trans 35(4):551.
38.
Zurück zum Zitat Klepaczko JR, Duffy J (1982) Strain rate history effects in body-center-cubic metals. ASTM-STP 765:251. Klepaczko JR, Duffy J (1982) Strain rate history effects in body-center-cubic metals. ASTM-STP 765:251.
39.
Zurück zum Zitat Klepaczko JR (1968) Generalized conditions for stability in tension test. Int J Mech Sci 10:297.CrossRef Klepaczko JR (1968) Generalized conditions for stability in tension test. Int J Mech Sci 10:297.CrossRef
40.
Zurück zum Zitat Semiatin SL, Jonas JJ (1984) Formability and workability of metals. ASM, Metals Park, OH. Semiatin SL, Jonas JJ (1984) Formability and workability of metals. ASM, Metals Park, OH.
41.
Zurück zum Zitat Kruszka L (2004) Behaviour of structural steel at high strain rates and at elevated and low temperatures. In: Proc. ISIE-5, University of Cambridge, UK, (poster). Kruszka L (2004) Behaviour of structural steel at high strain rates and at elevated and low temperatures. In: Proc. ISIE-5, University of Cambridge, UK, (poster).
42.
Zurück zum Zitat Gorham DA (1991) An effect of specimen size in the high strain rate compression test. Proc. Conf. Dymat, Coll. C3, suppl. Journal de Physique III, 1, C3–411. Gorham DA (1991) An effect of specimen size in the high strain rate compression test. Proc. Conf. Dymat, Coll. C3, suppl. Journal de Physique III, 1, C3–411.
Metadaten
Titel
Miniaturized Compression Test at Very High Strain Rates by Direct Impact
verfasst von
J. Z. Malinowski
J. R. Klepaczko
Z. L. Kowalewski
Publikationsdatum
01.08.2007
Erschienen in
Experimental Mechanics / Ausgabe 4/2007
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI
https://doi.org/10.1007/s11340-006-9007-7

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