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Book Review

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Book Information:

Author: R. W. Lardner
Title: Mathematical theory of dislocations and fracture
Additional book information: University of Toronto Press, Toronto, 1974, xi+363 pp.

References [Enhancements On Off] (What's this?)

  • 1. B. A. Bilby and J. D. Eshelby, Dislocations and the theory of fracture, Fracture, vol. I, H. Liebowitz (editor), Academic Press, New York and London, 1968.
  • 2. A. L. Cauchy, Sur les équations qui expriment les conditions d'équilibre on les lois du mouvement intérieur d'un corps solide, élastique ou non élastique, Ex. Math. 3 (1828), 160-187; also in œuvres (2), 8, 195-226.
  • 3. J. N. Goodier, Mathematical theory of equilibrium cracks, Fracture, vol. II, H. Liebowitz (editor), Academic Press, New York and London, 1968.
  • 4. A. A. Griffith, The phenomena of rupture and flow in solids, Philos. Trans. Roy Soc. London Ser. A 221 (1921), 163-198.
  • 5. M. E. Gurtin, Linear theory of elasticity, 2nd ed., Handbuch der Physik, vol. VI, Springer-Verlag, Berlin, Heidelberg and New York, 1970.
  • 6. J. K. Knowles and T. A. Pucik, Uniqueness for plane crack problems in linear elastostatics, J. Elasticity 3 (1973), 155-160.
  • 7. J. K. Knowles and E. Sternberg, An asymptotic finite deformation analysis of the elastostatic field near the tip of a crack, J. Elasticity 3 (1973), 67-107. MR 475148
  • 8. J. K. Knowles and E. Sternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results, J. Elasticity 4 (1974), 201-233. MR 475149
  • 9. C. L. M. H. Navier, Mémoire sur les lois de l'équilibre et du mouvement des corps solides élastiques, Mem. Acad. Sci. Inst. France (2) 7 (1827), 375-393.
  • 10. G. C. Sih, Mechanics of fracture--1. Methods of analysis and solutions of crack problems, Noordhoff, Leyden, 1973. MR 449095
  • 11. I. N. Sneddon and M. Lowengrub, Crack problems in the classical theory of elasticity, Wiley, New York and London, 1969. MR 41 #2986. MR 258339
  • 12. I. N. Sneddon, Mixed boundary value problems in potential theory, North-Holland, Amsterdam; Interscience, New York, 1966. MR 35 #6853. MR 216018
  • 13. C. Somigliana, Atti. Accad. Naz. Lincei Rend. 23 (1914), 463.
  • 14. C. Somigliana, Atti. Accad. Naz. Lincei Rend. 24 (1915), 655.
  • 15. Vito Volterra, Sur l’équilibre des corps élastiques multiplement connexes, Ann. Sci. École Norm. Sup. (3) 24 (1907), 401–517 (French). MR 1509085
  • 16. J. R. Willis, Interfacial stresses induced by arbitrary loading of dissimilar elastic halfspaces joined over a circular region, J. Inst. Math. Appl. 7 (1971), 179-197. MR 44 #3565. MR 286352
  • 17. J. R. Willis. The penny-shaped crack on an interface, Quart. J. Mech. Appl. Math. 25 (1972), 367.

Review Information:

Reviewer: Morton Lowengrub
Journal: Bull. Amer. Math. Soc. 82 (1976), 446-451
DOI: https://doi.org/10.1090/S0002-9904-1976-14038-4
American Mathematical Society