On using the Kane-Mindlin theory in the analysis of cracks in plates

International Journal of Fracture

Volumn 133, Issue 2, 2005, Pages

  Yang, Jiashi ^a   Guo, Shaohua ^b  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^b CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ELASTICITY; ERRORS; PLATE METAL; STRAIN; STRESS RELAXATION;

KANE-MINDLIN THEORY; POISSON EFFECT;

CRACKS;

EID: 21344452058     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10704-005-7119-1     Document Type: Article

References (19)

1. T. R. Kane R. D. Mindlin 1956 High-frequency extensional vibrations of plates ASME J. Appl. Mech 23 277-283
2. R. D. Mindlin M. A. Medick 1959 Extensional vibrations of elastic plates ASME J. Appl. Mech 26 561-569
3. J. M. Cuschieri 1992 Coupling of in-plane and out-of-plane waves in thick flat plate structures subjected to a transverse load J. Acoust. Soc. Am 91 2418
4. J. C. P. McKeon M. K. Hinders 1999 Lamb wave scattering from a through hole J. of Sound and Vibration 224 843-862
5. Sih, G. C. and Chen, E. P. (1977). Dynamic analysis of cracked plates in bending and extension. In Mechanics of Fracture, Vol. 3, G. C. Sih ed., Noordhoff, Leydon, pp. 231-272.
6. W Yang B. L. Freund 1985 Transverse shear effects for trough-cracks in an elastic plate Int. J. Solids Structures 21 977-994
7. Z. H. Jin K. C. Huwang 1989 An analysis of three-dimensional effects near the tip of a crack in an elastic plate Acta Solida Mechanica Sinica 2 387-401
8. Z. H. Jin N. Noda 1994 A quasi-three-dimensional crack problem of an elastic plate subjected to in-plane shear loading Engineering Fracture Mechanics 49 773-779
9. Z. H. Jin R. C. Batra 1997 Dynamic fracture of a kane-mindlin plate Theoretical and Applied Fracture Mechs 26 199-210
10. Z. H. Jin R. C. Batra 1997 A crack at the interface between a Kane-Mindlin plate and a rigid substrate Engineering Fracture Mechanics 57 343-354
11. Z. H. Li W. L. Guo 2001 Three-dimensional elastic stress fields ahead of blunt V-notches in finite thickness plates Int. J. Fracture 107 53-71
12. A. Kotousov C. H. Wang 2002 Three-dimensional stress constraint in an elastic plate with a notch Int. J. Solids Structures 39 4311-4326
13. A. Kotousov C. H. Wang 2002 Fundamental solutions for the generalized plane stress theory Int. J. Engng Sci 40 1775-1790
14. A. Kotousov 2003 CTOD for the through-the-thickness crack in a plate of arbitrary thickness Int. J. Fracture 119 L99-L104
15. A. Kotousov P. J. Tan 2004 Effect of the plate thickness on the out-of-plane displacement field of a cracked elastic plate loaded in mode I Int. J. of Fracture 127 L97-L103
16. P. C. Y. Lee Z. Nikodem 1972 An approximate theory for high-frequency vibrations of elastic plates Int. J. Solids Structures 8 581-612
17. Mindlin, R. D. and Hermann, G. (1951). A one-dimensional theory of compressional waves in an elastic rod. In: Proceedings of the first U.S. National Congress of Applied Mechanics-1951, 187-191.
18. R. D. Mindlin H. D. McNiven 1960 Axially symmetric waves in elastic rods ASME Journal of Applied Mechanics 27 145-151
19. Truesdell C. (eds) (1972). Mechanics of Solids II. In: S. Flugge's Handbuch der Physik, Vol. VIa/2 Srpinger-Verlag, Berlin.