Book Review
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MathSciNet review:
1566860
Full text of 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.
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.
J. K. Knowles and Eli Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack, J. Elasticity 3 (1973), no. 2, 67–107 (English, with German summary). MR 475148, DOI 10.1007/BF00045816
J. K. Knowles and Eli Sternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher-order results, J. Elasticity 4 (1974), no. 3, 201–233 (English, with German summary). MR 475149, DOI 10.1007/BF00049265
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.
G. C. Sih (ed.), Mechanics of fracture. Vol. 1, Noordhoff International Publishing, Leiden, 1973. Methods of analysis and solutions of crack problems; Recent developments in fracture mechanics. Theory and methods of solving crack problems. MR 0449095
I. N. Sneddon and M. Lowengrub, Crack problems in the classical theory of elasticity, John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0258339
Ian N. Sneddon, Mixed boundary value problems in potential theory, North-Holland Publishing Co., Amsterdam; Interscience Publishers John Wiley & Sons, Inc., New York, 1966. MR 0216018
13. C. Somigliana, Atti. Accad. Naz. Lincei Rend. 23 (1914), 463.
14. C. Somigliana, Atti. Accad. Naz. Lincei Rend. 24 (1915), 655.
Vito Volterra, Sur l’équilibre des corps élastiques multiplement connexes, Ann. Sci. École Norm. Sup. (3) 24 (1907), 401–517 (French). MR 1509085
J. R. Willis, Interfacial stresses induced by arbitrary loading of dissimilar elastic half-spaces joined over a circular region, J. Inst. Math. Appl. 7 (1971), 179–197. MR 286352
17. J. R. Willis. The penny-shaped crack on an interface, Quart. J. Mech. Appl. Math. 25 (1972), 367.
- 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 0475148
- 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.
- V. Volterra, Sur l'équilibre des corps élastiques multiplement connexes, Ann. Sci. École Norm. Sup. (3) 24 (1907), 401-517. 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
