Abstract
The main purpose of this part of the book is to review new experimental methods which are useful and effective in determination of resistance to fracture under fast and impact conditions of loading. In recent decade a substantial progress has been made in this domain.
The first part concentrates on loading rate effects in fracture initiation and its theoretical basis. In general, the small scale yielding is considered, however, some cases of the large scale yielding are also discussed.
The loading rate spectrum is thoroughly analyzed. Experimental techniques and some results obtained within the low and medium loading rate are both considered. Over the region of higher loading rates application of elastic waves for testing fracture resistance is discussed. An emphasis is placed on application of Split Hopkinson Bar (SHB) to fracture dynamics (Modes I and III are discussed).
In the final part attention is being given to experimental results in crack initiation over a wide range of loading rates and temperatures. A modelling of the loading rate spectra is attempted. A generalized model for quasi-static, fast and impact loading of a stationary crack has been developed and discussed. The experimental results are presented in such a way to be useful in practical applications. It is believed that a better understanding of the nature of the loading rate effects in metallic materials can be useful in preventing catastrophic failures under impact.
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References
Irwin, G. R.: Plastic zone near a crack and fracture toughness, in: Proc. 7th Sagamore Conf. 1960, IV-63.
Huit, J. A. H. and F. A. Mc Clintock: Elastic-Plastic Stress and Strain Distributions Around Sharp Notches Under Repeated Shear, in: Proc. of the Ninth Int. Congr. of Appl. Mech., University of Brussels, Brussels 1957, 8, 51.
Mc Clintock, F. A. and G. R. Irwin: Plasticity Aspects of Fracture Mechanics, in: Fracture Toughness Testing and Its Applications, ASTM STP 381, American Society for Testing and Materials, Philadelphia 1965, 84.
Begley, J. D. and J. A. Landes: The J integral as a fracture criterion, in: ASTM STP 514, American Society for Testing and Materials, Philadelphia 1972, 1.
Landes, J. D. and J. A. Begley: The effect of specimen geometry on JIc, in: ASTM STP 514, American Society for Testing and Materials, Philadelphia 1972, 24.
Bui, H. D.: Dual path independent integrals in the boundary-value problems of cracks, Engng. Fracture Mech., 6 (1974), 287.
Nakamura, T., C.F. Shih and L. B. Freund: Computational methods based on an energy integral in dynamic fracture, Int. J. Fract., 27 (1985), 229.
Atkinson, C. and J. D. Eshelby: The flow of energy into the tip of a moving crack: Int. J. Fract., 4 (1968), 3.
Freund, L. B.: Crack propagation in an elastic solid subjected to general loading, I. Constant rate of extension, J. Mech. Phys. Solids, 21 (1973), 47.
Wells, A. A.: Application of fracture mechanics at and beyond general yielding, British Welding J., 10 (1963), 563.
Dugdale, D. S.: Yielding of steel containing slits, J. Mech. Phys. Solids, 8 (1960), 8.
Klepaczko, J. R.: A general approach to rate sensitivity and constitutive modelling of FCC and BCC metals, in: Impact: Effects of Fast Transient Loadings (Eds. W. J. Amman et al.), A. A. Balkema, Rotterdam, 1988, 3.
Campbell, J. D. and W. G. Ferguson: The temperature and strain-rate dependence of the shear strength of mild steel, Phil. Mag., 81 (1970), 63.
Hahn, G. T., B. L. Averbach, W. S. Owen and M. Cohen: Initiation of cleavage microcracks in polycrystalline iron and steel, in: Fracture (Eds. B. L. Avervbach et al.), The Technology Press of MIT and J. Wiley, Cambridge/New York 1960, 91.
Louat, N. and H. L. Wain: Brittle fracture and the yield-point phenome non, in: Fracture (Eds. B. L. Averbach et al.), The Technology Press of MIT and J. Wiley, Cambridge/New York 1960, 161.
Kocks, U. F., A. S. Argon and M. F. Ashby: Thermodynamics and Kinetics of Slip, Pergamon Press, Oxford 1975.
Wilson, M. L., R. H. Hawley and J. Duffy: The effect of loading rate and temperature on fracture initiation in 1020 hot-rolled steel, Engng. Fract. Mech., 13 (1980), 371.
Krasovsky, A. J., Yu. A. Kashtalyan and V. N. Krasiko: Brittle-to-ductile transition in steels and the critical transition temperature, Int. J. Fract., 23 (1983), 297.
Marandet, B., G. Phellipeau and G. Sanz: Experimental Determination of Dynamic Fracture Toughness by J-Integral Method, in: Advances in Frac ture Research (Ed. D. François), Proc. ICF-5, Pergamon Press, Oxford 1981, 375.
Krabiell, A. and W. Dahl: Influence of Strain Rate and Temperature on the Tensile and Fracture Properties of Structural Steels, in: Advances in Fracture Research (Ed. D. François), Proc. ICF-5, Pergamon Press, Oxford 1981, 393.
Kussmaul, K., C. Zimmermann, T. Demier and D. Kraemer: On the Use of Opto-electronic Components for the Registration of Crack Tip Behaviour Under Dynamical Loading Conditions, in: Proc. Conf. DYMAT 85, Les éditions de physique, Les Ulis, France 1985, C5–219.
Klepaczko, J. R.: Displacement gauge with a photodiode, J. of Measurements, Automatics and Control, 12 (1966), 466, (in Polish).
Klepaczko, J. R.: An extensometric gauge, Patent of Poland No 54728, 1967.
Shoemaker, A. K. and S. T. Rolfe: Static and dynamic low-temperature KIc behavior of steels, J. Basic Engng, Trans. ASME Ser. D., (1969), 512 1.
Madison, R. B. and G. R. Irwin: Dynamic KIc testing of structural steel, J. of the Struct. Div., ASCE, 100, No ST 7, Proc. Paper 10653n, (1974), 1331.
Kalthoff, J. F., S. Winkler, W. Böhme and W. Klemm: Determination of the dynamic fracture toughness KId in impact test by means of impact response curves, in: Advances in Fracture Research (Ed. D. François), Proc. ICF-5, Pergamon Press, Oxford 1981, 368.
Kalthoff, J. F., S. Winkler and W. Böhme: A novel procedure for measuring the impact fracture toughness KId with precracked Charpy specimens, in: Proc. Conf. DYMAT 85, Les éditions de physique, Les Ulis, France 1985, C5–179.
Klepaczko, J. R.: Loading rate spectra for fracture initiation in metals, Theoretical and Applied Fracture Mechanics, 1 (1984), 181.
Klepaczko, J. R.: Fracture initiation under impact, Int. J. Impact Engng., 3 (1985), 191.
Klepaczko, J. R.: Fracture initiation of metals over a wide range of loading rates, loading rate spectra, presented on IUTAM Symposium on Macro and Micro Mechanics of High Velocity Deformation and Fracture, Aug. (1985), Tokyo, Japan.
Nunomura, S., T. Kashiwamura, K. Machida and S. Sakui: Fracture toughness of ball bearing steel, in: Fracture Mechanics and Technologyf (eds. G. C. Sih and Y. A. Chow), Sijthoff and Noordhoff, Leyden, 1977, 553.
Kanninen, M. F. and C. H. Popelar, Advanced Fracture Mechanics, Oxford University Press, New York 1985.
Holtzman, M., B. Vlach and Z. Bilek: The effect of microstructure on the fracture toughness of structural steels, Int. J. Press. Ves. Piping, 9 (1981), 284.
Klepaczko, J. R. and G. Pluvinage: Fracture Toughness of Some Structural Steels at High Loading Rates and Different Temperatures, in: Proc. Conf. DYMAT 85, Les éditions de physique, Les Ulis, France 1985, C5–145.
Hopkinson, B.: A method of measuring the pressure produced in the detonation of high explosives and by the impact of bullets, Phil. Trans. Roy. Soc. (London), Ser. A, 213 (1914), 437.
Hopkinson, B.: Collected Scientific Papers, University Press, Cambridge 1921.
Davies, R. M.: A critical study of the Hopkinson pressure bar, Phil. Trans. Roy. Soc. (London), Ser. A, 240 (1948), 375.
Kolsky, H.: An investigation of the mechanical properties of materials at very high rates of strain, Proc. Phys. Soc. (London), Ser. B, 62 (1949), 676.
Klepaczko, J. R.: The modified Hopkinson bar, Theoretical and Applied Mechanics, 9 (1971), 479; (in Polish).
Hauser, F. E., J. A. Simmons and J. E. Dorn, Strain rate effects in plastic wave propagation, in: Response of Metals to High Velocity Deformation, Interscience, New York 1960.
Lindholm, U. S.: Some experiments with the split Hopkinson pressure bar, J. Mech. Phys. Solids, 12 (1964), 317.
Duffy, J., J. D. Campbell and R. H. Hawley: On the use of a torsional split Hopkinson bar to study rate effects in 1100–0 aluminum, Brown Univ. Rep. NSF-GK-4242/1, Providence 1970.
Campbell, J. D. and J. L. Lewis: The development and use of a torsional split Hopkinson bar for testing materials at shear strain rates up to 15000 sec−1, Univ. of Oxford Rep. No 1080/69, Oxford 1969.
Klepaczko, J. R.: Application of the split Hopkinson pressure bar for impact testing of rocks, Engineering Transactions, 28 (1980), 381 (in Polish).
Kolsky, H.: Stress Waves in Solids, Dover Publications, Inc., New York 1963.
Achenbach, J. D.: Wave Propagation in Elastic Solids, North Holland, Amsterdam 1976.
Follansbee, P. S. and C. Frantz: Wave propagation in the split Hopkinson pressure bar, J. Engng. Materials and Technology, 105 (1983), 61.
Kolsky, H.: Experimental Studies in Stress Wave Propagation, in Proc. 5-th U. S. Natl. Congr. of Appl. Mech., ASME, New York, 1966, 21.
Klepaczko, J. R. and R. J. Clifton: The Propagation of Plastic Wave Fronts in a Plastically Deforming Aluminum Alloy, Techn. Report ARO-D-G182/9, Brown University, Providence, 1974.
Malinowski, J. Z. 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.
Costin, L. S., E. E. Crisman, R. H. Hawley and J. Duffy: On the localisation of plastic flow in mild steel tubes under dynamic torsional loading, in: Mechanical Properties at High Strain Rates of Strain 1979 (Ed. J. Harding), The Institute of Physics, Bristol 1979, 90.
Hartley, K. A., J. Duffy and R. H. Hawley: Measurement of the temperature profile during shear band formation in steels deforming at high strain rates, Brown University Report No DAAG 29–85-K-0003/2, Providence 1986.
Klepaczko, J. R.: Application of the split Hopkinson pressure bar to fracture dynamics, in: Mechanical Properties at High Rates of Strain 1979 (Ed. J. Harding), The Institute of Physics, Bristol 1979, 201.
Gambin, W., P. Lipinski and G. Pluvinage: A singular element for a new experimental method of fracture toughness determination, Engng. Fract. Mech., 18 (1983), 567.
Klepaczko, J. R.: Discussion of a new experimental method in measuring fracture toughness initiation at high loading rates by stress waves, J. Engng. Materials and Technology, 104 (1982), 29.
Klepaczko, J. R. and A. Andrzejewski: Fracture toughness of some aluminum alloys at low and high loading rates, IFTR Rep. No 39/1979, Warsaco, 1979.
Klepaczko, J. R.: Determination of the critical value of the J-integral at high loading rates using the wedge-loaded specimen, J. of Testing and Evaluation, 13 (1985), 441.
Klepaczko, J. R. and J. Z. Malinowski: Dynamic frictional effects as measured from the split Hopkinson pressure bar, in: High Velocity Deformation of Solids (eds. K. Kawata and J. Shioiri), Springer-Verlag, Berlin 1979, 403.
Priest, A. H.: Influence of strain rate and temperature on the fracture and tensile properties of several metallic materials, in: Proc. Conf. on Dynamic Fracture Toughness, Welding Institute and ASM, London 1979, 95.
Dambrine, B., P. Lipinski, G. Pluvinage: Mesure de la ténacité en dynamique d’aciers pour rails, Mémoires et Etudes Scientifiques Revue de Métallurgie (1982), 329.
Shabbits, W. O.: Dynamic fracture toughness properties of heavy section A533 grade B Class 1 steel plate, Westinghouse Report, WCAP-7623, Dec. 1973.
Costin, L. S., J. Duffy and L. B. Freund: Fracture initiation in metals under stress wave loading conditions, in: Fast Fracture and Crack Arrest, ASTM STP 627, American Society for Testing and Materials, Philadelphia, 1977, 301.
Eftis, J. and J. M. Krafft: A comparison of the initiation with the rapid propagation of a crack in a mild steel plate, J. of Basic Engng., 87 (1965), 257.
Rice, J. R.: A path independent integral and the approximate analysis of strain concentration by notches and cracks, J. Appl. Mech., 35 (1968), 379.
Rice, J. R.: Mathematical analysis in the mechanics of fracture, in: Fractu re (Ed. H. Liebowitz), Vol. II, Academic Press, New York, 1968, 191.
Knott, J. F.: Fundamentals of Fracture Mechanics, J. Wiley, New York 1979; (3-rd. ed.).
Broberg, K. B.: Crack growth criteria and non-linear fracture mechanics, J. Mech. Phys. Solids, 19 (1971), 407.
Rice, J. R., P. C. Paris and J. G. Merkle: Some further results of J-integral, analysis and estimates, ASTM STP 536, 1973, 231.
Merkle, J. G. and H. T. Corten: A J-integral analysis for compact specimen, considering axial force as well as bending effects, J. Press. Vessel Techn., Trans. ASME, J 96 (1974), 286.
Kanazawa, T., D. Machida, M. Onozuka and S. Kaneda: A preliminary study on the J-integral fracture criterion, Report of the University of Tokyo, IIW X-779–75, Tokyo 1975.
ASTM Standard: Standard Test for JIc, A Measure of Fracture Toughness, E813–81, ASTM, 1981.
Clarke, G. A. and J. D. Landes: Evaluation of J for the compact specimen, J. of Testing and Evaluation, Philadelphia, 7 (1979), 264.
Klepaczko, J. R.: Loading rate spectra for fracture initiation in metals, Theoretical and Applied Fracture Mechanics, 1 (1984), 181.
Klepaczko, J. R.: Fracture initiation under impact, Int. J. Impact. Engng., 3 (1985), 191.
Bui, H. D.: Mécanique de la Rupture Fragile, Masson, Paris 1978.
Ehrlacher, A.: Path independent integral for the calculation of the energy release rate in elastodynamics, in: Advances in Fracture Research, (Ed. D. François), Pergamon Press, Oxford 1981, 2187.
Mall, S.: A finite element analysis of transient crack problems with a path-independent integral, in: Advances in Fracture Research, (Ed. D. François), Pergamon Press, Oxford 1981, 2171.
Klepaczko, J. R.: An experimental procedure to determine J-integral under high loading rates, in: Mechanical Properties at High Rates of Strain, 1979 (Ed. J. Harding), The Inst. of Physics, Bristol 1979, 201.
Klepaczko, J. R., P. Lipinski and G. Pluvinage: A numerical analysis of yield stress and strain hardening effects on elastic-plastic zone growth around crack tip, unpublished report, Metz University, Metz 1984.
Bagoumi, M. R. and M. N. Bassim: Experimental correlation between ductility and J-integral in the transition region of 1045 steel, Engng. Fract. Mech. 18 (1983), 468.
Klepaczko, J. R.: Quasi-static and dynamic compression behavior of materials, Technical Report No 1, Dept. of Mech. Engng., The University of Manitoba, Winnipeg 1982.
Costin, L. S.: The effect of loading rate and temperature on the initiation of fracture in a mild, rate sensitive steel, Brown University Report No NSF ENG77–07798/2, Providence 1978.
Dormeval, R., J. M. Chevalier and M. Stelly: Fracture initiation of metals at high loading rates, in: Advances in Fracture Research, (Ed. D. François), Pergamon Press, Oxford 1981, 355.
Couque H., J. Duffy and R. J. Asaro: Effects of prior austenite and ferrite grain size on fracture properties of a plain carbon steel, Brown University Report No DAAG 29 81-K-0121/7, Providence 1984.
Ohlson, N. G.: Determination of crack initiation at high strain rates, in: Mechanical Properties at High Rates of Strain, (Ed. J. Harding) 1979, The Institute of Physics, Bristol 1979, 215.
Kishida, K., T. Yokoyama and M. Nakano: Measurement of dynamic fracture toughness based on the split Hopkinson bar technique, in: Mechanical Properties at High Rates of Strain, 1984 (Ed. J. Harding), The Institute of Physics, Bristol 1984, 221.
Lindholm, U. S. and L. M. Yakley: High strain-rate testing: tension and compression, Exp. Mech., 8 (1968), 1.
Corran, R. S. J., F. G. Benitez, J. Harding and C. Ruiz: A discussion of pro blems encountered in the dynamic fracture toughness, in: Mechanical Properties at High Rates of Strain, 1984 (Ed. J. Harding), The Institute of Physics, Bristol 1984, 253.
Couque, H., S. J. Hudak and U. S. Lindholm: On the use of coupled pressure bars to measure the dynamic fracture initiation and crack propagation toughness of pressure vessel steels, in: Proc. Int. Conf. on Mech. and Phys. Behaviour of Materials Under Dynamic Loading, Les éditions de physique 1988, C3–347.
Lipinski, P. and J. R. Klepaczko: A new experimental method in determining crack propagation transition temperature in steel, Int. J. Solids and Struct., 18 (1982), 1129.
Bensussan, Ph.: Fracture dynamics of 35 NCD 16 steel, in: Proc. Int. Conf. on Mech. and Phys. Behaviour of Materials Under Dynamic Loading, Les éditions de physique 1988, C3–199, (in French).
Dharan, C. K. H. and F. E. Hauser: Determination of stress-strain characteristics at very high strain rates, Exp. Mech., 10 (1970), 370.
Tobota, A., J. R. Klepaczko and J. Gronostajski: Application of the rotational hammer for dynamic tensile tests, Theoretical and Applied Mechanics, 18 (1980), 258.
Kawata, K., S. Hashimoto, K. Kurokawa and N. Kanayama: A new testing method for the characterization of materials in high-velocity tension, in: Mechanical Properties at High Rates of Strain, 1979 (Ed. J. Harding), The Institute of Physics, Bristol 1979, 71.
Lipinski, P.: Propagation transition temperature and crack dynamics in structural steel, Report of Institute Fundamental Technological Research, Warsaw 1980, (in Polish).
Nadai, A.: Theory of Flow and Fracture of Solids, McGraw-Hill, New York 1950, 81.
Nicholas, T.: Instrumented impact testing using a Hopkinson bar apparatus, Technical Report AFML-TR-7554, Wright-Patterson AFB, Ohio 1975.
Nicholas, T.: Notched bend behavior of beryllium over a wide range of strain rates, Technical Report AFML-TR-75–177, Wright-Patterson AFB, Ohio 1975.
Mines, R. A. W. and C. Ruiz: The dynamic beheviour of the instrumented Charpy test, in: Proc. Int. Conf. on Mech. and Phys. Behaviour of Materials Under Dynamic Loading, Les éditions de physique 1985, C5–187.
Tanaka, K. and T. Kagatsume: Impact bending test on steel at low temperatures, Bull. JSME, 23 (1980), 1736.
Yokoyama, T. and K. Kishida: A novel impact three-point bend test method for determining dynamic fracture initiation toughness, Proc. Int. Conf. on Fracture and Fracture Mechanics, Shangai 1987, 553.
Yokoyama, T. and K. Kishida: Measurement of dynamic fracture initiation toughness by a novel impact three-point bend test technique using Hopkinson pressure bars, in: Impact Loading and Dynamic Behaviour of Materials, DGM Informationsgesellschaft Verlag, Oberursel 1988, 273.
Hurd, N. J. and P. E. Irwing: A comparison of Mode HI and Mode I toughness in quenched and tempered steels, in: Fracture and Fatigue, Proc. 3rd Colloquium on Fracture (Ed. J. C. Radon), Pergamon Press, Oxford 1980, 239.
Tsangarakis, S.: Fracture behavior of 4340 steel under Mode III loading, Engng. Fract. Mech., 16 (1982), 569.
Tsangarakis, S.: The dependence of Mode III fracture initiation toughness on strength and microstructure, Engng. Fract. Mech., 19 (1984), 903.
Gupte, K. A. and S. Banerjee: Fracture of round bars loaded in Mode III and a procedure for KIIIc determination, Engng. Fract. Mech., 19 (1984), 919.
Tada, H.: The Stress Analysis of Cracks Handbook, Del Res. Corp., Heller-town 1973.
Hult, J. A. H. and F. A. McClintock: Elastic-plastic stress and strain distributions around sharp notches under repeated shear, Proc. 9thf IUTAM Int. Congress, University of Brussels, 8 (1957), 51.
Yates, J. R.: Crack tip plastic zone sizes in cylindrical bars subjected to torsion, Fatigue Fract. Engng Mater. Struct., 10 (1987), 471.
Nkule, L.: Tests on Fracture Toughness in Mode HI at High Rate for XC48 Steel, Ph. D. Thesis, ENSM Nantes 1985; (in French).
Klepaczko, J. R. and L. Nkule: A new experimental test method for dynamic fracture initiation in Mode HI, in preparation.
Charpy, G.: On testing metals by the bending of notched bars (translation of the original paper from Mémoires de la Société des Ingénieurs Civils de France, 1904, p. 468), Int. J. Fract., 25 (1984), 287.
Impact Testing of Materials, ASTM STP 466, American Society for Testing and Materials, Philadelphia 1969.
Instrumented Impact Testing, ASTM STP 563, American Society for Testing and Materials, Philadelphia 1974.
Ireland, D. R.: Procedures and problems associated with reliable control of the instrumented impact test, ASTM STP 563, Philadelphia 1974, 3.
Barsom, J. M. and S. T. Rolfe: Fracture Fatigue Control in Structures, Prentice-Hall, Englewood Cliffs 1987.
Barsom, J. M. and S. T. Rolfe: Correlations between KIc and Charpy V-notch test results in the transition temperature range, ASTM STP 466, American Society for Testing and Materials, Philadelphia 1969, 281.
Norris, D. M.: Computer simulation of the Charpy V-notch toughness test, Engng. Fract. Mech., 11 (1979), 261.
Kalthoff, J. F.: Determination of the dynamic fracture toughness KId in impact tests by means of response curve, in: Advances in Fracture Research, (Ed. D. François), Pergamon Press, Oxford 1981, 363.
Rintamaa, R. and C. Zimmermann: Advanced instrumented impact testing facility for characterization of dynamic fracture behavior, Nucl. Engng. and Design, 96 (1986), 159.
Rintamaa, R., K. Rahka, K. Wallin, K. Ikonen, H. Talja, H. Kotilainen and E. Sirkkola: Instrumented impact testing machine with reduced specimen oscillation effects, Research Report of Technical Research Centre of Finland, Espoo 1984.
Williams, J. G.: The analysis of dynamic fracture using lumped mass-spring models, Int. J. Fract., 33 (1987), 47.
Williams, J. G. and G. C. Adams: The analysis of instrumented impact tests using a mass-spring model, Int. J. Fract., 33 (1987), 209.
Williams J. G. and M. N. M. Badi: The effect of damping on the spring-mass dynamic fracture model, Int. J. Fract., 39 (1989), 147.
Kishimoto, K., S. Akoi and M. Sakata: Simple formula for dynamic stress intensity factor of precracked Charpy specimen, Engng. Fract. Mech., 13 (1980), 501.
Kishimoto, K., S. Akoi and M. Sakata: Dynamic fracture mechanics parameter estimation for three-point bend specimen in large scale yielding, in: Impact Loading and Dynamic Behaviour of Materials, DGM Informationsgesellschaft Verlag, Oberursel 1988, 129.
Nash, G.: An analysis of the force and bending moments generated during the notched beam impact test, Int. J. Fract. Mech., 5 (1969), 269.
Macke, T.: Development and analysis of a method for material characterization under impact; Application for testing of fracture toughness of composites with ceramic or metallic matrix, Ph. D. Thesis, University of Bordeaux, Talence 1988; (in French).
Macke, T., J. J. Balette and J. M. Quenisset: A method for evaluation of dynamic toughness and impact loading resistance, in: Impact Loading and Dynamic Behaviour of Materials, DGM Informationsgesellschaft Verlag, Oberursel 1988, 289.
Tvergard, V. and A. Needleman: Effect of material rate sensitivity on failure modes in the Charpy V-notch test, J. Mech. Phys. Solids, 34 (1986), 213.
Theocaris, P. S. and G. A. Papadopoulos: Interrelation between static and dynamic stress intensity factors and their evaluation by caustics, J. of Strain Analysis, 19 (1984), 127.
Kalthoff, J. F.: The shadow optical method of caustics, in: Handbook on Experimental Mechanics, Ch. 9, (Ed. A. S. Kobayashi), Prentice Hall, Engle-wood Cliffs, 1985.
Rosakis, A. J. and A. T. Zehner: Caustics by reflection and their application to elastic-plastic and dynamic fracture mechanics, in: Proc. SPIE Conference on Photomechanics and Speckle Metrology, San Diego, 1987.
Zehner, A. T. and A. J. Rosakis: Dynamic fracture initiation and propagation in 4340 steel under impact loading, Calif. Inst. of Technology, GAL, SM Report 86–6, 1986.
Klepaczko, J. R. and A. Solecki: Effect of tempering on quasi-static and impact fracture toughness and mechanical properties for 5110 H steel, Met. Trans. A, 15A (1984), 901.
Zhurkov, S. N.: Kinetic concept of the strongth of solids, Int. J. Fracture, 1 (1965), 311.
Dahl, W., W. Hesse, A. Krabiell and H. J. Rosezin: Influence of yielding behaviour and stress-strain law on the failure analysis, Nucl. Engng. Design, 76 (1983), 309.
McGregor, C. W. and J. C. Fisher: A velocity-modified temperature for the plastic flow of metals, J. Appl. Mech., 68 (1946), A11.
Hahn, G. T., R. G. Hoagland and A. R. Rosenfield: The variation of KIc with temperature and loading rate, Met. Trans., 2 (1971), 537.
Ritchie, R. O., W. L. Server and R. A. Wullaert: Critical fracture stress and fracture strain models for the prediction of lower and upper shelf toughness in nuclear pressure vessel steels, Met. Trans. A, 10A (1979), 1557.
Ritchie, R. O., J. F. Knott and J. R. Rice: On the relationship between critical tensile stress and fracture toughness in mild steel, J. Mech. Phys. Solids, 21 (1973), 395.
Rice, J. R. and G. F. Rosengreen: Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids, 16 (1968), 1.
Hutchinson, J. W.: Singular behavior at the end of a tensile crack in a hardening material, J. Mech. Phys. Solids, 16 (1968), 13.
McClintock, F. A.: Plasticity aspects of fracture, in: Fracture, An Advanced Treatise (Ed. H. Liebowitz), Vol. III, Academic Press, New York 1971, 48.
Kalthoff, J. F.: Fracture behavior under high rate of loading, Rep. Z5/85 Fraunhofer-Institut für Werkstoffmechanik, Freiburg 1985.
Rosenfield, A. R. and G. T. Hahn: Numerical description of the ambient low-temperature, and high-strain rate flow and fracture behavior of plain carbon steel, Trans. ASM, 59 (1966), 962.
Hahn, G. T.: The influence of microstructure on brittle fracture toughness, Met. Trans. A, 15A (1984), 947.
Krafft, J. M. and G. Irwin: Crack velocity considerations, in: Fracture Toughness Testing and Its Applications, ASTM STP 381, American Society for Testing and Materials, Philadelphia 1965, 84.
Krafft, J. M.: Correlation of plane strain crack toughness with strain hardening characteristics of a low, a medium and a high strength steel, Appl. Mat. Res., 3 (1964), 88.
Campbell, J. D.: Dynamic Plasticity, CISM Udine, 1997.
Broek, D.: Elementary Engineering Fracture Mechanics, Martinus Nij-hoff Publ., Dordrecht 1987.
Campbell, J. D.: The dynamic yielding of mild steel, Acta Metall., 1 (1953), 706.
Shockey, D. A., J. F. Kalthoff and D. C. Erlich: Evaluation of dynamic crack instability criteria, Int. Journ. of Fracture, 22 (1983), 217.
Shockey, D. A., J. F. Kalthoff, H. Homma and D. C. Erlich: Short pulse fracture mechanics, in: Dynamic Fracture (Eds. W. G. Knauss, K. Ravi-Chandar and A. J. Rosakis) Caltech, Pasadena 1983, 57.
Homma, H., D. A. Shockey and Murayama: Response of cracks in structural materials to short pulse loads, J. Mech. Phys. Solids, 31 (1983), 261.
Buchar, J.: The effect of strain rate sensitivity on crack initiation under dynamic loading, in: IUTAM Symposium (Eds. K. Kawata and J. Shioiri) Springer Verlag, Berlin 1985, 428.
Kalthoff, J. F., D. A. Shockey and H. Homma: Short pulse fracture mecha nics, in: Mechanical Properties at High Rates of Strain, 1984 (Ed. J. Har ding), The Institute of Physics, Bristol 1984, 205.
Freund, L. B.: Crack propagation in an elastic solid subjected to general loading, III stress wave loading, J. Mech. Phys. Solids, 21 (1973), 47.
Tuler, F. R. and B. M. Butcher: A criterion for the time dependence of dynamic fracture, Int. J. Fract. Mech., 4 (1968), 431.
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Klepaczko, J.R. (1990). Dynamic Crack Initiation, Some Experimental Methods and Modelling. In: Klepaczko, J.R. (eds) Crack Dynamics in Metallic Materials. CISM International Centre for Mechanical Sciences, vol 310. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2824-4_3
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DOI: https://doi.org/10.1007/978-3-7091-2824-4_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82226-5
Online ISBN: 978-3-7091-2824-4
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