Abstract
The application of fracture mechanics principles bears largely upon the stress intensity factor. An essential part of the solution of a fracture problem in linear elastic fracture mechanics is the establishment of the stress intensity factor for the crack problem under consideration. Since the introduction of fracture mechanics much effort has been put into the derivation of stress intensity factors, and a variety of methods have been developed to approach the problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cartwright, D. J., Methods of determining stress intensity factors, R.A.E. TR 73031 (1973).
Westergaard, H. M., Bearing pressures and cracks, J. Appl. Mech., 61 (1939) pp. A49–53.
Muskhelishvili, N. I., Some basic problems of the mathematical theory of elasticity, (1938), English translation, Noordhoff (1953).
Sih, G. C., Application of Muskhelishvili’s method to fracture mechanics, Trans. Chin. Ass. Adv. Studies, (1962).
Erdogan, F., On the stress distribution in plates with collinear cuts couler arbitrary loads, Proc. 4th U.S. Nat. Congress Appl. Mech., (1962).
Bilby, B. A., Cottrell, A. H., Smith, E. and Swinden, K. H., Plastic yielding from sharp notches, Proc. Roy. Soc. A 279, (1964) pp. 1–9.
Bilby, B. A. and Eshelby, J. D., Dislocations and the theory of fracture, Fracture I, pp. 99–182, Liebowitz, Ed., Academic Press (1969).
Bowie, O. L., Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole, J. Math. and Phys., 25 (1956) pp. 60–71.
Bowie, O. L. and Neal, D. M., Modified mapping-collocation technique for accurate calculation of stress intensity factors, Int. J. Fract. Mech., 6 (1970) pp. 199–206.
Gross, B., Srawley, J. E. and Brown, W. F., Stress intensity factors for a single-edge-notch tension specimen by boundary collocation of a stress function, NASA TN D-2395 (1964).
Srawley, J. E. and Gross, B., Stress intensity factors for crack-line loaded edge-crack specimens, NASA TN D-3820 (1967).
Isida, M., On the determination of stress intensity factors for some common structural problems, Eng. Fract. Mech., 2 (1970) pp. 61–79.
Zienkiewicz, O. C., The finite element method in engineering science, McGraw-Hill (1971).
Watwood Jr., V. B., The finite element method for prediction of crack behaviour, Nuclear Eng. and Design, 11 (1969) pp. 323–332.
Chan, S. K., Tuba, I. S. and Wilson, W. K., On the finite element method in linear fracture mechanics, Eng. Fract. Mech., 2 (1970) pp. 1–17.
Byskov, E., The calculation of stress intensity factors using the finite element method with cracked elements, Int. J. Fract. Mech., 6 (1970) pp. 159–167.
Tracey, D. M., Finite elements for determination of crack tip elastic stress intensity factors, Eng. Fract. Mech., 3 (1971) pp. 255–265.
Walsh, P. F., The computation of stress intensity factors by a special finite element technique, Int. J. Solids and Struct., 7 (1971) pp. 1333–1342.
Mowbray, D. F., A note on the finite element method in linear fracture mechanics, Eng. Fract. Mech., 2 (1970) pp. 173–176.
Swanson, S. R., Finite element solutions for a cracked two-layered elastic cylinder, Eng. Fract. Mech., 3 (1971) pp. 283–289.
Isida, M., On the tension of a strip with a central elliptical hole, Trans. Jap. Soc. Mech. Eng., 21 (1955).
Hayes, D. J., Some applications of elastic-plastic analysis to fracture mechanics, Ph. D. Thesis, Imperial College (1970).
Marcal, P. V. and King, I. P., Elastic-plastic analysis of two-dimensional stress systems by the finite element method, Int. J. Mech. Sciences, 9 (1967) pp. 143–154.
Levy, N., Marcal, P. V., Ostergren, W. J. and Rice, J. R., Small scale yielding near a crack in plane strain. A finite element analysis, Int. J. Fract. Mech., 7 (1971) pp. 143–156.
De Koning, A. U., Results of calculations with TRIM 6 and TRIAX 6 elastic-plastic elements, Nat. Aerospace Inst. Amsterdam Rept. MP 73010 (1973).
Smith, D. G. and Smith, C. W., A photoelastic evaluation of the influence of closure and other effects upon the local, stresses in cracked plates, Int. J. Fract. Mech., 6 (1970) pp. 305–318.
Gerberich, W. W., Stress distribution around a slowly growing crack determined by photoelastic coating method, Proc. SESA, 19 (1962) pp. 359–365.
Kobayashi, A. S., Photoelastic studies of fracture, Fracture III, pp. 311–369, Liebowitz, Ed., Academic Press (1969).
Dixon, J. R., Stress distribution around edge slits in tension, Nat. Eng. Lab., Glasgow, Rept 13 (1961).
Smith, D. G. and Smith, C. W., Photoelastic determination of mixed mode stress intensity factors, Eng. Fract. Mech., 4 (1972) pp. 357–366.
Monthulet, A., Bhandari, S. K. and Riviere, C., Méthodes pratiques de détermination du facteur d’intensité des contraintes pour la propagation des fissures, La Recherche Aérospatiale, (1971) pp. 297–303.
Barrois, W., Manual on fatigue of structures, AGARD-Man-8-70 (1970).
Bhandari, S. K., Étude expérimentale du facteur d’intensité des contraintes au voisinage de la pointe d’une fissure de fatigue centrale dans une tôle mince au moyen des mesures extensométriques, Thèse, École Nat. Supérieure de l’Aeronautique, Paris (1969).
Sommer, E., An optical method for determining the crack tip stress intensity factor, Eng. Fracture Mech., 1 (1970) pp. 705–718.
Gallagher, J. P., Experimentally determined stress intensity factors for several contoured DCB specimens, Eng. Fracture Mech., 3 (1971) pp. 27–43.
Schra, L., Boerema, P. J. and Van Leeuwen, H. P., Experimental determination of the dependence of compliance on crack tip configuration of a tapered DCB specimen, Nat. Aerospace Inst. Amsterdam Rept. TR 73025 (1973).
Ottens, H. H. and Lof, C. J., Finite element calculations of the compliance of a tapered DCB specimen for different crack configurations, Nat. Aerospace Lab. Rept. TR 72083 (1972).
James, L. A. and Anderson, W. E., A simple experimental procedure for stress intensity factor calibration, Eng. Fracture Mechanics, 1 (1969) pp. 565–568.
Broek, D., The effect of intermetallic particles on fatigue crack propagation in aluminium alloys, Fracture 1969, pp. 754–764, Chapman and Hall (1969).
Tada, H., Paris, P. C. and Irwin, G. R., The stress analysis of cracks handbook, Del Research Corporation (1973).
Sih, G. C., Handbook of stress intensity factors, Inst. of Fracture and Solid Mechanics, Lehigh University (1973).
Rooke, D. P. and Cartwright, D. J., Compendium of stress intensity factors, Her Majesty’s Stationary Office, London (1976).
Rights and permissions
Copyright information
© 1982 Martinus Nijhoff Publishers, The Hague
About this chapter
Cite this chapter
Broek, D. (1982). Determination of stress intensity factors. In: Elementary engineering fracture mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4333-9_13
Download citation
DOI: https://doi.org/10.1007/978-94-009-4333-9_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8425-3
Online ISBN: 978-94-009-4333-9
eBook Packages: Springer Book Archive