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Shear waves due to cracks in an isotropic rectangular strip

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Abstract

A mathematical formulation of the shear waves due to the presence of a crack, loaded in an opening mode, in an isotropic and elastic rectangular strip is presented. An analytical solution based on application of spectral representation and Green's functions methods is developed. Numerical presentations of the solution demonstrate the effect of crack length on the amplitude of these waves at any given position along the sides of the rectangular strip. The solution provides a quantitative analysis on means of detection of shear waves emitted due to the presence of a loaded crack.

Résumé

On présente une formulation mathématique des ondes de cisaillement associées à la présence d'une fissure sujette à un mode d'ouverture dans une bande rectangulaire, isotrope et élastique. On développe une solution analytique basée sur l'application des méthodes de représentation spectrale et des fonctions de Green. Les diverses formulations numériques de la solution démontrent l'effet de la longueur de la fissure sur l'amplitude de ses ondes en toutes positions le long des bords de la bande rectangulaire. La solution fournit une analyse quantitative sur les moyens de détector les ondes de cisaillement émises du fait de l'existence d'une fissure soumise à sollicitation.

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Authors and Affiliations

  1. Metallurgical Sciences Laboratory, Department of Mechanical Engineering, Unioersity of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada

    M. N. Bassim, W. Wassef & K. Tangri

Authors
  1. M. N. Bassim
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  2. W. Wassef
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  3. K. Tangri
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Bassim, M.N., Wassef, W. & Tangri, K. Shear waves due to cracks in an isotropic rectangular strip. Int J Fract 26, 125–139 (1984). https://doi.org/10.1007/BF01157549

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  • DOI: https://doi.org/10.1007/BF01157549

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