References
G. I. Barenblatt, “The mathematical theory of equilibrium cracks in brittle fracture,” Adv. Appl. Mech.7 55 (1962).
D. Bhattacharjee and Knott, J. F., “Micromechanisms of fracture in steels tested under mixed-mode loading at room temperature,” Proc. Int. Conf. on Mixed-Mode Fract. and Fatigue, 15–17, July, 1993, Vienna, 1993.
B. A. Bilby, A. H. Cottrell, and K. H. Swinden, “The spread of plastic yield from a notch,” Proc. R. Soc.,A272 304–314 (1963).
P. Bowen, S. G. Druce, and J. F. Knott, “Micromechanical modelling of fracture toughness,” Acta Met.,35 1735–1746 (1987).
S. D. Carothers, “Plane strain — the direct determination of stress,” Proc. R. Soc.,A97 110–123 (1920).
A.H. Cottrell, “Fracture (the Bakerian lecture),” Proc. R. Soc.,A276 1–18 (1963).
A.H. Cottrell, “Theory of brittle fracture in steel and similar metals,” Trans. Am. Inst. Min. Met. Petrol Eng.,212 192–202 (1958).
D. A. Curry and J. F. Knott, “The effect of microstructure on the cleavage fracture toughness of quenched and tempered steels,” Met. Sci.,13 341–345 (1979).
A. A. Griffith, “The phenomena of rupture and flow in solids,” Phil. Trans. R. Soc.,A221 163–198 (1920).
A. A. Griffith, “The theory of rupture,” Proc. 1st Intl. Conf. on Appl. Mech., Delft, 1924, p. 55.
C. E. Inglis, “Stresses in a plate due to the presence of cracks and sharp corners,” Trans. Inst. Nav. Arch.,IV No. 1, 219 (1913).
G. R. Irwin, “Analysis of stresses and strains near the end of a crack traversing a plate,” J. Appl. Mech.,24 361–364 (1957).
T. Ishikawa, “Fracture behavior in steel and weld metals for low temperature service,” PhD Thesis, Univ. of Cambridge, 1989.
L. M. Kachanov, Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, No. 8, 26 (1958).
A. Kelly, W. R. Tyson, A. H. Cotrell, “Ductile and brittle crystals,” Phil. Mag.,15 567–586 (1967).
J. F. Knott, “Mechanics of fracture,” in: Atomistics of Fracture, Plenum Publishing Corporation (1983), pp. 209–240.
J. F. Knott, “Effects of microstructure and stress state on ductile fracture in metallic alloys,” Proc. 7th Int. Conf. on Fracture, Advances in Fracture Research, Pergamon Press,1, 125–138 (1989).
J. F. Knott, “Micromechanisms of fracture — the role of microstructure,” Proc. Ninth Europ. Conf. on Fracture., EMAS, Varna, 1375–1400 (1992).
A. E. H. Love, “Mathematical theory of elasticity, Cambridge University Press, 1892.
T. M. Maccagno and J. F. Knott, “The low temperature brittle fracture behavior of steel in mixed modes I and II,” Eng. Fract. Mech.,38 111–128 (1991).
D. McLean, Mechanical Properties of Metals, New York: R. E. Krieger Publishing Co. (1977), pp. 255.
D. E. McRobie, “Cleavage fracture in C—Mn weld metals,” PhD Thesis, Univ. of Cambridge. (1985).
D. Marsh, “Plastic flow and rupture of glass,” Proc. R. Soc.,A282 33 (1964) and Tube Investments Internal Report No. 161.
I. Milne, R. A. Milne, P. A. Ainsworth, and Stewart, A. T., “Assessment of the integrity of structures containing defects,” Central Electricity Generating Board, 1986, R/H.R6, Rev. 3.
D. Neville and J. F. Knott, “Fracture of homogenous and inhomogeneous materials,” J. Mech. Phys. Sol.,34 243–291 (1986).
J. W. Obreimoff, “The splitting strength of mica,” Proc. R. Soc.,A127 290 (1930).
E. Orowan, “Fundamentals of brittle behavior in metals,” Fatigue and Fract. of Met., MIT Symposium, 1950, New York (1952), pp. 139–154.
A. Pineau, “Review of fracture micromechanisms and a local approach to predicting crack resistance in low strength steels,” Advances in Fracture Research. Fracture-81, Pergamon Press (1982), pp. 553–580.
P. A. S. Reed and J. F. Knott, “An investigation of the warm prestressing (WPS) effect in A533B weld metals,” Fatigue Fract. Eng. Mat. Struct.,15 1251–1270 (1992).
J. R. Rice, Mathematical Analysis in the mechanics of fracture,” in: Fracture — An Advanced Treatise, Academic Press, New York (1968), pp. 191–311.
J. R. Rice, “Dislocation nucleation from a crack tip: An analysis based on the Peierls concept,” J. Mech. Phys. Sol.,40 239–271 (1992).
J. R Rice and M. A. Johnson, “The role of large crack tip geometry changes in plane strain fracture,” in: Inelastic Behavior of Solids, McGraw Hill (1970), p. 641.
J. F. Rice and R. M. Thomson, “Ductile vs brittle behavior of crystals,” Phil. Mag.,29 73–97 (1974).
R. O. Ritchie and J. F. Knott, “Mechanisms of fatigue crack growth in low alloy steel,” Acta Met.,21 639–648 (1973).
R. O. Ritchie, J. F. Knott, and J. R. Rice, “On the relationship between critical tensile stress and fracture toughness in mild steel,” J. Mech. Phys. Sol.,21 395–410 (1973).
R. N. Stevens and F. Guiu, “Energy balance concepts in the physics of fracture,” Proc. R. Soc.,A435 169–183 (1991).
J. Sumpter and J. W. Hancock, “Shallow crack toughness of HY80 welds: an analysis based on T stresses,” Int. J. Pressure Vessels Piping,45 207–221 (1991).
J. H. Tweed and J. F. Knott, “Micromechanisms of failure in C — Mn weld metals,” Acta Met.,35 1401–1414 (1987).
V. Volterra, “Sur l'équilibre des corps élastiques multiplement connexes,” Ann. Ec. Norm.,24 401–517 (1907).
H. M. Westergaard, “Bearing pressures and cracks,” Trans. ASME: J. Appl. Mech.,61A 49–53 (1939).
J. R. Willis, “A comparison of the fracture criteria of Griffith and Barenblatt,” J. Mech. Phys. Sol.,15 151–162 (1967).
C. P. You and J. F. Knott, “Effects of crack shape on fracture toughness in a high-strength structural steel,” Eng. Fract. Mech.,24 291–305 (1986).
Additional information
The University of Birmingham, Great Britain. Published in Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 29, No. 3, pp. 42–65, May–June, 1993.
Rights and permissions
About this article
Cite this article
Knott, J.F. The science and engineering of fracture. Mater Sci 29, 229–248 (1993). https://doi.org/10.1007/BF00558966
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00558966