Abstract
We consider in this chapter an isotropie homogeneous continuum in which there is a geometrie discontinuity at rest. The discontinuity is also said to be static or stationary, and is subjected to an increasing load applied rapidly. The case of the discontinuity in motion will be treated in the next chapter. However, some features of this late case are also addressed.
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References
D. Miannay. “Fracture Mechanics,” Springer-Verlag, New York (1997).
L. B. Freund. “Dynamic Fracture Mechanics,” Cambridge University Press (1990).
L. B. Freund. “The stress-intensity factor due to normal impact loading of the faces of a crack,” Int. J. of Engineering Science, 12, pp. 179–189 (1974).
A. J. Rosakis. “Apphcation of Coherent Gradient Sensing (CGS) to the investigation of dynamic fracture problems,” Optics and Lasers in Engineering, 19, pp. 3–41 (1993).
P. Manogg. “Anwendungen der Schattenoptik zur Untersuchung des Zerreissvorgangs,” in “Proceedings of the international conference on the physics of noncrystalline sohds,” Delft, Netherlands, pp. 481–490 (1964).
J. F. Kalthoff. “Shadow optical method of caustics, Chapter 9,” in “Handbook on experimental mechanics,” Kobayashi, ed., Prentice-Hall, Englewood Chliffs, New Jersey, pp. 430–500 (1987).
J. F. Kalthoff. “Shadow optical method of caustics, Chapter 9,” in “Handbook of experimental Mechanics, 2ND ed.,” Kobayashi, ed., VCH Publishers, pp. 280–300 (1993).
C. Liu, A. J. Rosakis and L. B. Freund. “The interpretation of optical caustics in the presence of dynamic non-uniform crack-tip motion histories: a study based on a higher order transient crack-tip expansion,” Int. J. Solids and Struct., 30, 7, pp. 875–897 (1993).
J. W. Dally, W. L. Foumey and G. R. Irwin. “On the uniqueness of KID ä relation,” Int. J. Fracture, 27, pp. 159–168 (1985).
A. T. Zehnder and A. J. Rosakis. “Experimental measurement of the temperature rise generated during dynamic crack growth in metals,” Appl. Mech. Rev., 43, 5, Part 2, pp. S260–S265 (1990).
A. J. Rosakis, J. J. Mason and G. Ravichandran. “The conversion ofplastic work to heat around a dynamically propagating crack in metals,” J. Of the Mechanical Behavior of Materials, 4, 4, pp. 375–385 (1993).
J. J. Mason and A. J. Rosakis. “The effects of hyperbolic heat conduction around a dynamically propagating crack tip,” Mechanics of Materials, 15, pp. 263–278 (1993).
D. R. Curran, L. Seaman and D. A. Shockey. “Dynamic failure ofsolids,” NorthHolland, Amsterdam, Elsevier Sc. Pub. (1987).
W. A. Logsdon and J. A. Begley. “Dynamic fracture toughness of SA 533 Grade A Cl ass 2 base metal and weldments,” in “Flaw growth and fracture,” Special Technical Publication 631, American Society of Testing and Materials, Philadelphia, pp. 477–492 (1977).
B. Marandet, G. Phelippeau and G. Sanz. “Influence of loading rate on the fracture toughness of some structural steels in the transition regime,” in “Fracture mechanics: fifteenth symposium,” Special Technical Publication 833, Sanford, ed., American Society ofTesting and Materials, Philadelphia, pp. 622–647 (1984).
H. Ernst, P. C. Paris, M. Ross and D. W. Schmidt. “Analysis of load-displacement relationship to determine J-R curve and tearing instability material properties,” in “Fracture Mechanics. ASTM STP 677,” pp. 581–599 (1981).
J. A. Joyce. “Static and dynamic J-R curve testing of A533B steel using the key curve analysis technique,” in “Fracture mechanics: fourteenth symposium, Vol I: Theory and analysis,” Special Technical Publication 791, Lewis and Sines, eds., American Society ofTesting and Materials, Philadelphia, pp. 543–560 (1983).
R. L. Jones and P. C. Davies. “Experimental characterization of dynamic tensile and fracture toughness properties,” Fatigue Fract. Engng. Mater. Struct., 12,5, pp. 423–437 (1989).
20.“Instrurnented impact testing,” Special Technical Publication 563, American Society of Testing and Materials, Philadelphia (1974?).
W. L. Server. “Impact Three-point bend testing for notched and precracked specimens,” J. Test. Eval., 6, pp. 29–34 (1978).
S. A. Kobayashi, T. Kazino, M. Kamimura and H. Ikawa. “Basic principle of dynamic fracture-toughness evaluation by computer aided instrumented impact testing (CAI) system,” in “ICF 7. Advances in fracture toughness,” Salama, Ravi-Chandar, Taplin and Rama-Rao, eds., Pergamon Press, Vol. 1, pp. 651–658 (1989).
J. F. Kalthoff. “On the measurement of dynamic fracture toughness-A review of recent work,” Int. J. Fracture, 27, pp. 277–298 (1985).
T. Nakamura, C. F. Shih and L. B. Freund. “Three dimensional transient analysis of a dynamically loaded three-point bend-ductile fracture specimen,” in “Non-linear fracture mechanics: Vol I-time dependent fracture,” Special Technical Publication 995, Saxena, Landes and Bassani, eds., American Society of Testing and Materials, Philadelphia, pp. 217–241 (1989).
J. A. Joyce and E. M. Hackett. “An advanced procedure for J-R curve testing using a drop tower,” in “Non-linear fracture mechanics: Vol I-Time dependent fracture,” Special Technical Publication 995, Saxena, Landes and Bassani Eds., American Society of Testing and Materials, Philadelphia, pp. 298–317 (1989).
K. C. Koppenhoefer and R. H. Dodds. “Constraint effects on fracture toughness of impact-loaded, precracked Charpy specimens,” Nuclear Engng. and Design, 162, pp. 145–168 (1996).
H. J. MacGillivray and D. F. Cannon. “The development of standard methods for determining the dynamic fracture toughness of metallic materials,” in “Rapid load testing,” Special Technical Publication 1130, Chona and Corwin, eds., American Society of Testing and Materials, Philadelphia, pp. 161–179 (1992).
M. T. Kirk, J. P. Waskey and R. H. Dodds Jr. “A procedure for drop-tower testing of shallow-cracked, single-edge notched bend specimens,” in “Rapid load testing,” Special Technical Publication 1130, Chona and Corwin, eds., American Society of Testing and Materials, Philadelphia, pp. 50–75 (1992).
R. Rintamaa, M. Nevalainen and M. Valo. “Evaluation of dynamic fracture toughness on reactor pressure vessel materials,” in “Transactions of the 11 th international conference on structural mechanics in reactor technology,” Vol. G, Shibata, ed., Atomic Energy Society of Japan, pp. 315–320 (1991).
H. Homma, Y. Kanto and K. Tanaka. “Cleavage fracture under short pulse loading,” tiJournal de Physique IV, “Dymat 91. 3rd International conference on mechanical and physical behavior ofmaterials under dynamic loading,” Vol. 1, pp. 589–596 (1991).
J. A. Joyce and E. M. Hackett. “Dynamic J-R curve testing of a high strength steel using the multiple specimen and key curve techniques,” ASTM STP 905, pp. 741–774 (1984).
J. A. Joyce and E. M. Hackett. “An advanced procedure for J-R curve testing using a drop tower,” in “Non-linear fracture mechanics: Vol I-Time dependent fracture,” Special Technical Publication 995, Saxena, Landes and Bassani, eds., American Society of Testing and Materials, Philadelphia, pp. 298–317 (1989).
W. Schmitt, W. Böhme, W. Klemm, D. Memhard and S. Winkler. “Dynamic characterization of apressure vessel steel,” in “Transactions of the 11 th international conference on structural mechanics in reactor technology,” Vol G, Shibata, ed., Atomic Energy Society of Japan, pp. 291–302 (1991).
W. Böhme and W. Schmitt. “On the ductile crack initiation and propagation behavior of apressure vessel steel under impact loading,” in “Defect assessments in components-Fundamentals and applications, ESIS/EGF 9,” Blauel and Schwalbe, eds., Mechanical Engineering Publications, London, pp. 681–692 (1991).
R. Rintamaa, M. Nevalainen and M. Val0. “Evaluation of dynamic fracture toughness on reactor pressure vessel materials,” in “SMIRT 11 Transactions, Vol. G,” pp. 315–320 (1991).
C. G. Chipperfield. “A method far determining dynamic JQ and dJ values and its application to ductile steels,” Welding Institute I ASM int. conf. on dynamic fracture toughness, 1, pp. 167–179 (1977).
L. S. Costin, J. Duffy and L. B. Freund. “Fracture initiation in metals under stress wave loading conditions,” in “Fast fracture and Crack arrest, ASTM, STP 627,” Hahn and Kanninen, eds., pp. 301–318 (1977). au]38._R. H. Hawley, J. Duffy and C. F. Shih. “Dynamic notched round bar testing,” in “Metals handbook, volume 8: mechanical testing,” American Society for Metals, Metals Park, Ohio, pp.275–282 (1986).
A. T. Nakamura, C. F. Shih and L. B. Freund. “Elastic-plastic analysis of dynamically loaded circumferentially notched round bar,” Eng. Fract. Mechanics, 22, pp. 437–452 (1985).
H. Couque, C. P. Leung and S. J. Hudak, Jr. “Effect of planar size and dynamic loading rate on initiation and propagation toughness of a moderate-toughness steel,” Engng. Fracture Mech., 47, 2, pp. 249–267 (1994).
J. R. Klepaczko and A. Solecki. “Effect of tempering on quasi-static and impact fracture toughness and mechanical properties for 5140H steel,” Met. Trans. A, 15A, pp. 901–911 (1984).
R. S. J. Curran, D. A. Shockey, J. F. Kalthoff and D. C. Erlich. “Evaluation of dynamic crack instability,” Int. J. Fracture, 22, pp. 217–229 (1983).
D. A. Shockey, J. F. Kalthoff and D. C. Erhch. “Evaluation of dynamic crack instability,” Int. J. Fracture, 22, pp. 217–222 (1983).
D. A. Shockey. “Dynamic fracture testing,” in “Metals handbook, ninth edition,” 8, pp. 259–298 (1985).
K. Ravi-Chandar and R. J. Clifton. “Dynamic fracture under plane wave loading,” Int. J of Fracture, 40, pp. 157–201 (1989).
V. Prakash and R. J. Clifton. “Experimental and analytical investigation of dynamic fracture under conditions of plane strain,” in “Proceedings 22nd national symposium fract. mech.,” Special Technical Publication 1131, American Society of Testing and Materials, Philadelphia, pp. 412–444 (1992).
Y. Lee and V. Prakash. “Dynamic fracture toughness of 4340 VAR steel und er conditions of plane strain,” Metall. and Mater. Trans. A, 26 App., 2527–2543 (1995).
K. Ravi-Chandar and W. G. Knauss. “An experimental investigation into dynamic fracture: I. Crack initiation and arrest,” Int. J. Fracture, 25, pp. 247–262 (1984).
K. Ravi-Chandar and W. G. Knauss. “An experimental investigation into dynamie fracture: H. Microstructural aspects,” Int. J. Fracture, 26, pp. 65–80 (1984).
J. M. Krafft. “Correlation of plane strain crack toughness with strain hardening characteristics of a low, a medium, and a high strength steel,” Applied Materials Research, pp.88–1 01 (1965).
C. W. Marschall, M. P. Landow, G. M. Wilkowski and A. R. Rosenfield. “Comparison of static and dynamic strength and J-R curves of various piping materials from the IPIRG-I program,” Int. J. Press. Vess. and Piping, 62, pp. 49–58 (1995).
H. Couque, R. J. Asaro, J. Duffy and S. H. Lee. “Correlations of microstructure with dynamic and quasi-static fracture in a plain carbon steel,” Metall. Trans. A, 19A, pp. 2179–2206 (1988).
K.C. Koppenhoeffer and R. H. Dodds. “A numerical investigation of loading rate effects in pre-cracked CVN specimens,” in “Fatigue and fracture mechanies: Twenty-ninth volume, ASTM STP 1332,” Panotin and Sheppard, eds., American Society for Testing and Materials, West Conshohocken, PA, USA, pp. 135–153 (1999).
P. R. Guduru, R. P. Singh, G. Ravichandran and A. J. Rosakis. “Dynamic crack initiation in ductile steels,” J. Mech. Phys. Solids, 46,10, PP. 1997–2016 (1998). au]55._B. Moran, R. J. Asaro and C. F. Shih. “Effects of material rate sensitivity and void nucleation on fracture initiation in a circumferentially cracked bar,” Met. Trans. A, 22A, pp.161–170 (1991).
A. Needleman and v. Tvergaard. “Mesh effeets in the analysis of dynamic ductile crack growth,” Engng. Fracture Mech., 47, 1, pp. 75–91 (1994).
J. F. Kalthoff. “Shadow optical analysis of dynamic shear fracture,” Optical Engng., 27, 10, pp. 835–840 (1988). au]58._J. F. Kalthoff and S. Winkler. “Failure mode transition at high rates of shear loading,” in “Impact 87. Impact loading and dynamic behavior of materials,” Chiern, Kunze and Meyer, eds., p. 185–195 (1987).
J. Y. Lee and L. B. Freund. “Fracture initiation due to asymmetrie impact loading of an edge cracked plate,” J. Appl. Mech., 57, p. 104–111 (1990).
A. Needleman and v. Tvergaard. “Analysis of a brittle-ductile transition under dynamic shear loading,” Int. J. Solids and Struct., 12, 17/18, pp. 2571–2590 (1995).
M. Zhou, A. J. Rosakis and G. Ravichandran. “Dynamically propagating shear bands in impact-loaded prenotched plates-J. Experimental investigations of temperature signatures and propagation speed,” J. Mech. Phys. Solids, 44, 6, pp. 981–1006 (1996).
M. Zhou, G. Raviehandran and A. J. Rosakis. “Dynamically propagating shear bands in impact-loaded prenotched plates-2. Numerieal simulations,” J. Mech. Phys. Solids, 44, 6, pp. 1007–1032 (1996).
S. Mercier and A. Molinari. “Steady-state shear band propagation under dynamic eonditions,” J. Mech. Phys. Solids, 46,8,pp. 1463–1495 (1998).
D. Rittel and H. Maigre. “On mixed-mode dynamic crack initiation in brittle solids,” in “ICF9-Advances in fracture research-VoI.6,” Karihaloo et al., eds., pp. 2941–2948 (1997).
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Miannay, D.P. (2001). Dynamic Fracture: The Stationary Crack. In: Time-Dependent Fracture Mechanics. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0155-4_4
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DOI: https://doi.org/10.1007/978-1-4613-0155-4_4
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