Stress in the vicinity of a crack in a thick elastic plate
Author:
M. Lowengrub
Journal:
Quart. Appl. Math. 19 (1961), 119-126
MSC:
Primary 73.45
DOI:
https://doi.org/10.1090/qam/128696
MathSciNet review:
128696
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Additional Information
- George R. Irwin, Fracture, Handbuch der Physik, herausgegeben von S. Flügge. Bd. 6. Elastizität und Plastizität, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958, pp. 551–590. MR 0094946
- G. I. Barenblatt, The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks, J. Appl. Math. Mech. 23 (1959), 622–636 (Russian). MR 0113385, DOI https://doi.org/10.1016/0021-8928%2859%2990157-1
- I. N. Sneddon, The distribution of stress in the neighbourhood of a crack in an elastic solid, Proc. Roy. Soc. London Ser. A 187 (1946), 229–260. MR 17160, DOI https://doi.org/10.1098/rspa.1946.0077
- A. E. Green, On Boussinesq’s problem and penny-shaped cracks, Proc. Cambridge Philos. Soc. 45 (1949), 251–257. MR 29689, DOI https://doi.org/10.1017/s0305004100024804
- Ian N. Sneddon, Elements of partial differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1957. MR 0082600
- L. E. Payne, On axially symmetric punch, crack and torsion problems, J. Soc. Indust. Appl. Math. 1 (1953), 53–71. MR 57711
R. A. Sack, Extension of Griffith’s theory of rupture to three dimensions, Proc. Phys. Soc. 58, 729 (1946)
- N. N. Lebedev and Ia. S. Uflian, Axisymmetric contact problem for an elastic layer, J. Appl. Math. Mech. 22 (1958), 442–450 (320–326 Prikl. Mat. Meh.). MR 0102212, DOI https://doi.org/10.1016/0021-8928%2858%2990059-5
- Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963
- F. G. Tricomi, Integral equations, Pure and Applied Mathematics, Vol. V, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1957. MR 0094665
- Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, 1943. MR 0008332
G. R. Irwin, Fracture, Handbuch der Physik 6, 1958, pp. 551–590
G. I. Barenblatt, The Formation of equilibrium cracks during brittle fracture, J. Appl. Math. & Mechanics 23, 622 (1959) [English translation of Prik. Mat. i Mech., 23, 434 (1959)]
I. N. Sneddon, The distribution of stress in the neighbourhood of a crack in an elastic solid, Proc. Roy. Soc. A. 187, 229 (1946)
A. E. Green, On Boussinesq’s problem and penny-shaped cracks, Proc. Cambridge Phil. Soc. 45. 251(1948)
I. N. Sneddon, Elements of partial differential equations, McGraw-Hill, New York, 1957
L. E. Payne, On axially symmetric punch, crack and torsion problems, J. Soc. Ind. Appl. Math. 1, 53 (1953)
R. A. Sack, Extension of Griffith’s theory of rupture to three dimensions, Proc. Phys. Soc. 58, 729 (1946)
N. N. Lebedev and Ya. S. Uflyand, Axisymmetric contact problem for an elastic layer, J. Appl. Math. & Mech. 22, 442 (1958) [English translation of Prik. Mat. i Mech., 22, 320 (1958)]
I. N. Sneddon, Fourier transforms, McGraw-Hill, New York, 1951
F. G. Tricomi, Integral equations, Interscience, New York, 1957
E. Jahnke and F. Emde, Tables of functions with formulae and curves, Dover, New York, 1943
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Article copyright:
© Copyright 1961
American Mathematical Society
