Abstract
In this chapter, the basic tenets of fracture mechanics are described. The first term of the asymptotic expression for the stress and displacement fields in the neighborhood of a crack tip is presented for a homogeneous, isotropic , linear elastic material. The concept of fracture modes and stress intensity factors are discussed. The energy approach through the Griffith energy is delineated. A presentation of the J-integral and its relationship to the Griffith energy and the stress intensity factors is given. A description of a fracture criterion through the fracture toughness is presented.
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References
American Standard E399-12\(\epsilon \)1 (2013) Standard test method for linear-elastic plane-strain fracture toughness \(K_{{\!}Ic}\) of metallic materials. In: Metals – mechanical testing; elevated and low-temperature tests; metallography, vol. 3.01. American Society for Testing and Materials, West Conshohocken, pp 519–551
Brown WF Jr, Srawley JE (1966) Plane strain crack toughness testing of high strength metallic materials. ASTM-STP 410. American Society of Testing and Materials, Philadelphia
Griffith AA (1921) The phenomena of rupture and flow in solids. Philos Trans R Soc A221:163–198
Griffith AA (1924) The theory of rupture. In: Biezeno CB, Burgers JM (eds) Proceedings of the first international congress for applied mechanics. Waltman J Jr, Delft, the Netherlands, pp 55–63
Hudson CM, Seward SK (1978) A compendium of sources of fracture toughness and fatigue crack growth data for metallic alloys. Int J Fract 14:R151–R184
Hudson CM, Seward SK (1982) A compendium of sources of fracture toughness and fatigue crack growth data for metallic alloys-part II. Int J Fract 20:R59–R117
Hudson CM, Seward SK (1989) A compendium of sources of fracture toughness and fatigue crack growth data for metallic alloys-part III. Int J Fract 39:R43–R60
Hudson CM, Seward SK (1991) A compendium of sources of fracture toughness and fatigue crack growth data for metallic alloys-part IV. Int J Fract 48:R19–R43
Inglis CE (1913) Stresses in a plate due to the presence of cracks and sharp corners. Trans Inst Nav Archit 55:219–241
Irwin GR (1948) Fracture dynamics. In: Jonassen F, Roop WP, Bayless RT (eds) Fracturing of metals. American Society for Metals, Cleveland, pp 147–166
Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J Appl Mech 24:361–364
Irwin GR (1958) Fracture. In: Flügge S (ed) Handbuch der physik, vol VI. Springer, Germany, pp 551–590
Kanninen MF, Popelar CH (1985) Advanced fracture mechanics. Oxford Engineering Science, England, pp 164–166
Murakami Y (1987, 1992, 2001) Stress intensity factors handbook, vol 1–5. Pergamon Press, Oxford
Orowan E (1934) Die mechanischen festigkeitseigenschaften und die realstruktur der kristalle. Z Krist 89:327–343
Paris PC, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng 85:528–534
Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35:379–386
Rice JR (1968) Mathematical analysis in the mechanics of fracture. In: Liebowitz H (ed) Fracture, vol II. Academic Press, New York, pp 191–311
Rooke DP, Cartwright DJ (1976) Compendium of stress intensity factors. Her Majesty’s Stationary Office, London
Sih GC (1973) Handbook of stress intensity factors. Lehigh University, Pennsylvania
Sneedon IN (1946) The distribution of stress in the neighbourhood of a crack in an elastic solid. Proc R Soc Lond A 187:229–260
Tada H, Paris P, Irwin G (1973, 1987) The stress analysis of cracks handbook. Del Research Corporation, St. Louis
Wells AA (2000) George Rankin Irwin 26 February 1907 to 9 October 1998: Elected foreign member of the Royal Society. Biogr Mems Fell R Soc 46:269–283
Westergaard HM (1939) Bearing pressures and cracks. J Appl Mech 49:A49–A53
Williams ML (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24:109–114
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Banks-Sills, L. (2018). Introduction. In: Interface Fracture and Delaminations in Composite Materials. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-60327-8_1
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DOI: https://doi.org/10.1007/978-3-319-60327-8_1
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