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On the direct determination of the near-tip stress field for the scattering of SH-waves by a crack

Abstract

A procedure is given for the direct determination of the near-tip stress field arising from the scattering of a normally incident SH-wave by a crack in a homogeneous, isotropic elastic medium. The analysis, which circumvents the construction of the global solution of the problem, is based on a conservation law associated with the relevant field equation.

Résumé

On donne une procédure pour la détermination directe du champ de contraintes près de l'extrémité d'une fissure, qui résulte de la dispersion d'une onde incidente de cisaillement antiplanaire sur une fissure dans un corps élastique homogène et isotrope. L'analyse est basée sur une loi de conservation associée à une équation adéquate du champ, et permet d'éviter la construction d'une solution globale pour ce problème.

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References

  1. A.T. DeHoop, Doctoral Dissertation, Technische Hogeshool, Delft, The Netherlands (1958).

  2. J.D. Achenbach, Wave Propagation in Elastic Solids, North Holland Publishing Co., Amsterdam (1973).

    Google Scholar 

  3. G.H. Handelman and L.A. Rubenfeld, Journal of Applied Mechanics 36 (1969) 873–874.

    Google Scholar 

  4. M.E. Gurtin, Quarterly of Applied Mathematics 22 (1964) 252–256.

    Google Scholar 

  5. J.K. Knowles and E. Sternberg, Archive for Rational Mechanics and Analysis 44 (1972) 187–211.

    Article  Google Scholar 

  6. Q. Jiang, Journal of Elasticity 16 (1986) 213–219.

    Google Scholar 

  7. R. Abeyaratne and J.K. Knowles, Journal of Elasticity 16 (1986) 431–440.

    Google Scholar 

  8. F. Nilsson, International Journal of Solids and Structures 9 (1973) 1107–1115.

    Article  Google Scholar 

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Jiang, Q., Knowles, J.K. On the direct determination of the near-tip stress field for the scattering of SH-waves by a crack. Int J Fract 41, 283–288 (1989). https://doi.org/10.1007/BF00018860

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  • DOI: https://doi.org/10.1007/BF00018860

Keywords

  • Mechanical Engineer
  • Civil Engineer
  • Stress Field
  • Material Processing
  • Field Equation