Abstract
It has been shown (see Chapter 2 and reference 1) that the theoretical stress to cause cleavage fracture in a brittle solid is of the order of E/10; that is, one-tenth of the Young’s modulus. The modulus of a brittle polymer is typically 3 GPa and so the theoretical strength of such a material should be 300 MPa. The measured fracture strengths of polymers are well below the theoretical value (typically 10–100 MPa), as is the case for many other materials. This shortfall in strength was recognised many years ago by Griffith2 who showed that the relatively low strength of a brittle solid could be explained by the presence of flaws which act as stress concentrators. This hypothesis has led to the development of a large body of experimental and theoretical work which is now termed fracture mechanics.
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References
Kelly, A. (1966). Strong solids, Clarendon Press, Oxford.
Griffith, A. A. (1920). Phil. Trans. Roy. Soc., A221, 163.
Orowan, E. (1948). Repts. Prog. Phys., 12, 185.
Irwin, G. R. (1964). Appl. Mats. Res., 3, 65.
Knott, J. F. (1973). Fundamentals of fracture mechanics, Butterworths, London.
Broek, D. (1974). Elementary engineering fracture mechanics, Noordhoff, Leyden.
Berry, J. P. (1961). J. Polym. Sci., 50, 107.
Rivlin, R. S. & Thomas, A. G. (1953). J. Polym. Sci., 10, 291.
Shafrin, E. G. (1976). In: Handbook of adhesives, Ed. by I. Skeist, Van Nostrand, New York, p. 67.
Lake, G. J. & Thomas, A. G. (1967). Proc. Roy. Soc., A300, 108.
Gent, A. N. & Kinloch, A. J. (1971). J. Polym. Sci., A2, 9, 659.
Andrews, E. H. & Kinloch, A. J. (1973). Proc. R. Soc., A332, 385.
Andrews, E. H. & Kinloch, A. J. (1973). Proc. R. Soc., A332, 401.
Gent, A. N. & Schultz, J. (1972). J. Adhesion, 3, 281.
Williams, J. G. (1978). Adv. Polym. Sci., 27, 67.
Greensmith, H. W. (1963). J. Appl. Polym. Sci., 7, 993.
Lake, G. J. (1970). Yield, deformation and fracture of polymers, Conf. Proc., Phys. Institute, London, p. 5.3.
Rice, J. R. (1968). In: Fracture, an advanced treatise, Vol. 2, Ed. by H. Liebowitz, Academic Press, New York, p. 192.
Turner, C. E. (1979). In: Post-yield fracture mechanics, Ed. by D. G. H. Latzko, Applied Science Publishers Ltd., London, p. 23.
Chell, G. G. (1979). In: Developments in fracture mechanics—1, Ed. by G. G. Chell, Applied Science Publishers Ltd., London, p. 67.
Landes, J. D. & Begley, J. A. (1979). In: Post-yield fracture mechanics, Ed. by D. G. H. Latzko, Applied Science Publishers Ltd., London, p. 211.
Plati, E. & Williams, J. G. (1975). Polym. Eng. Sci., 15, 470.
Sridharan, N. S. & Broutman, L. J. (1978). Toughening of plastics, Conf. Proc., Plastics and Rubber Inst., London, p. 19.1.
Hodgkinson, J. M. & Williams, J. G. (1981). J. Mater. Sci., 16, 50.
Ahagon, A., Gent, A. N., Kim, H. J. & Kumagi, Y. (1975). Rubber Chem. Technol., 48, 896.
Thomas, A. G. & Kadir, A. (1983). J. Polym. Sci. Polym. Phys. Ed..
Mohamed (Kadir), A. K. B. (1980). Crack propagation in rubbers, PhD Thesis, Queen Mary College, London, p. 116.
Andrews, E. H. (1974). J. Mater. Sci., 9, 887.
Andrews, E. H. & Billington, E. W. (1976). J. Mater. Sci., 11, 1354.
Andrews, E. H. & Fukahori, Y. (1977). J. Mater. Sci., 12, 1307.
Andrews, E. H. (1979). Makromol Chem. Suppl., 2, 189.
Westergaard, H. M. (1939). J. Appl. Mech. A June, 46.
Sih, G. C. (1973). Handbook of stress-intensity factors for researchers and engineers, Lehigh Univ., Bethlehem, USA.
Tada, H., Paris, P. & Irwin, G. R. (1973). The stress analysis of cracks handbook, Del Research Corp., Hellertown, USA.
Rooke, D. P. & Cartwright, D. J. (1976). Compendium of stress-intensity factors, HMS., London.
Irwin, G. R. & Paris, P. C. (1971). In: Fracture, an advanced treatise—Vol. 3, Ed. by H. Liebowitz, Academic Press, New York, p. 13.
Wells, A. A. (1963). Brit. Welding J., 10, 563.
Dugdale, D. S. (1960). J. Mech. Phys. Solids, 8, 100.
Barenblatt, G. I. (1962). Adv. Appl. Mechs., 7, 56.
Williams, J. G. (1980). Stress analysis of polymers, Ellis Horwood, Chichester.
Corten, H. T. (1972). In: Fracture, an advanced treatise—Vol. 7, Ed. by H. Liebowitz, Academic Press, New York, p. 675.
ASTM-E 399-78, Plane-strain fracture toughness of metallic materials.
Williams, J. G. & Parvin, M. (1975). Int. J. Fract., 11, 963.
Williams, J. G. & Parvin, M. (1975). J. Mater. Sci., 10, 1883.
Mai, Y. W. & Williams, J. G. (1977). J. Mater. Sci., 12, 1376.
Gledhill, R. A. & Kinloch, A. J. (1979). Prop. Explos., 4, 73.
Hobbs, S. Y. & Bopp, R. C. (1980). Polymer, 21, 559.
Gledhill, R. A. & Kinloch, A. J. (1981). J. Spacecraft Rockets, 18, 333.
Fraser, R. A. W. & Ward, I. M. (1978). Polymer, 19, 220.
Pitman, G. L. & Ward, I. M. (1979). Polymer, 20, 895.
Hine, P. J., Duckett, R. A. & Ward, I. M. (1981). Polymer, 22, 1745.
Bluhm, J. I. (1961). ASTM Proc., 61, 1325.
Lake, G. J., Lindley, P. B. & Thomas, A. G. (1979). In: Fracture, Ed. by L. Averbach, Chapman-Hall, London, p. 493.
Thomas, A. G. (1960). J. Appl. Polym. Sci., 3, 168.
Brown, W. F. & Srawley, J. E. (1966). Plane-strain crack toughness testing of high strength metallic materials, ASTM, STP 410, p. 12.
Young, R. J. & Beaumont, P. W. R. (1976). J. Mater. Sci., 11, 1113.
Mostovoy, S., Crosley, P. B. & Ripling, E. J. (1967). J. Mater., 2, 661.
Crosley, P. B., Mostovoy, S. & Ripling, E. J. (1971). Eng. Fract. Mechs., 3, 421.
Young, R. J. (1979). In: Developments in polymer fracture—1, Ed. by E. H. Andrews, Applied Science Publishers Ltd., London, p. 183.
Kinloch, A. J. & Shaw, S. J. (1981). In: Developments in adhesives—2, Ed. by A. J. Kinloch, Applied Science Publishers Ltd., London, p. 83.
Williams, J. G. (1981). Phil. Trans. R. Soc. London, A299, 59.
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Kinloch, A.J., Young, R.J. (1995). Fracture Mechanics. In: Fracture Behaviour of Polymers. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1594-2_3
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DOI: https://doi.org/10.1007/978-94-017-1594-2_3
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