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On Using The Kane-Mindlin Theory in The Analysis Of Cracks in Plates

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Abstract

This note calls attention to an old error in the theories for extensional motions of plates, which still persists today; in particular, it often appears in analyses of cracks in plates.

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References

  1. T. R. Kane R. D. Mindlin (1956) ArticleTitleHigh-frequency extensional vibrations of plates ASME J. Appl. Mech 23 277–283

    Google Scholar 

  2. R. D. Mindlin M. A. Medick (1959) ArticleTitleExtensional vibrations of elastic plates ASME J. Appl. Mech 26 561–569

    Google Scholar 

  3. J. M. Cuschieri (1992) ArticleTitleCoupling of in-plane and out-of-plane waves in thick flat plate structures subjected to a transverse load J. Acoust. Soc. Am 91 2418

    Google Scholar 

  4. J. C. P. McKeon M. K. Hinders (1999) ArticleTitleLamb wave scattering from a through hole J. of Sound and Vibration 224 843–862

    Google Scholar 

  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) ArticleTitleTransverse shear effects for trough-cracks in an elastic plate Int. J. Solids Structures 21 977–994

    Google Scholar 

  7. Z. H. Jin K. C. Huwang (1989) ArticleTitleAn analysis of three-dimensional effects near the tip of a crack in an elastic plate Acta Solida Mechanica Sinica 2 387–401

    Google Scholar 

  8. Z. H. Jin N. Noda (1994) ArticleTitleA quasi-three-dimensional crack problem of an elastic plate subjected to in-plane shear loading Engineering Fracture Mechanics 49 773–779

    Google Scholar 

  9. Z. H. Jin R. C. Batra (1997) ArticleTitleDynamic fracture of a kane-mindlin plate Theoretical and Applied Fracture Mechs 26 199–210

    Google Scholar 

  10. Z. H. Jin R. C. Batra (1997) ArticleTitleA crack at the interface between a Kane-Mindlin plate and a rigid substrate Engineering Fracture Mechanics 57 343–354

    Google Scholar 

  11. Z. H. Li W. L. Guo (2001) ArticleTitleThree-dimensional elastic stress fields ahead of blunt V-notches in finite thickness plates Int. J. Fracture 107 53–71

    Google Scholar 

  12. A. Kotousov C. H. Wang (2002) ArticleTitleThree-dimensional stress constraint in an elastic plate with a notch Int. J. Solids Structures 39 4311–4326

    Google Scholar 

  13. A. Kotousov C. H. Wang (2002) ArticleTitleFundamental solutions for the generalized plane stress theory Int. J. Engng Sci 40 1775–1790

    Google Scholar 

  14. A. Kotousov (2003) ArticleTitleCTOD for the through-the-thickness crack in a plate of arbitrary thickness Int. J. Fracture 119 L99–L104

    Google Scholar 

  15. A. Kotousov P. J. Tan (2004) ArticleTitleEffect 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

    Google Scholar 

  16. P. C. Y. Lee Z. Nikodem (1972) ArticleTitleAn approximate theory for high-frequency vibrations of elastic plates Int. J. Solids Structures 8 581–612

    Google Scholar 

  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) ArticleTitleAxially symmetric waves in elastic rods ASME Journal of Applied Mechanics 27 145–151

    Google Scholar 

  19. Truesdell C. (eds) (1972). Mechanics of Solids II. In: S. Flugge’s Handbuch der Physik, Vol. VIa/2 Srpinger-Verlag, Berlin.

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Correspondence to Jiashi Yang.

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Yang, J., Guo, S. On Using The Kane-Mindlin Theory in The Analysis Of Cracks in Plates. Int J Fract 133, L13–L17 (2005). https://doi.org/10.1007/s10704-005-7119-1

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