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Twisting of an elastic plate containing a crack

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Abstract

The stress distribution caused by twisting an infinite plate containing a finite crack is analyzed in terms of Reissner's theory for the bending of thin plates. The singular character and the detailed structure of the stresses near the ends of the crack are determined in closed form. Numerical results are given for the magnitudes of the stress couples and stress resultants for a range of plate thicknesses.

Résumé

La distribution des contraintes dans une plague infinie comportant une fisure finic et soumise à torsion est analysée au moyen de la théorie de Reissner pour la flexion des tôles minces.

Le caractère singulier, et la structure de détail des contraintes au voisinage des extrémités de la fisure sont explicités.

Des résultats numériques sont fournis en ce qui regarde les grandeurs des couples de contraintes et de leurs résultantes, pour une certaine gamme d'éspaisseur de tôles.

Zusammenfassung

Due Spannungsvertcilung, hervorgerufen durch die Torsion einer unendlichen Platte mit einem Ri\ begrenzter Länge, wird mit Hilfe der Reissner-Theorie für die Biegebeanspruchung dünner Platten untersucht. Der singulare Charakter und die genauc Verteilung der Spannungen in Nähe der Ri\enden werden bestimmt. Zahlenmä\ige Ergebenisse für die Gro\e der Spannungsparre und ihrer Resultanten werden für eine Reihe von Plattenstärken angegeben.

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Authors and Affiliations

  1. General Motors Research Laboratories, Warren, Michigan, USA

    N. M. Wang

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  1. N. M. Wang
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Wang, N.M. Twisting of an elastic plate containing a crack. Int J Fract 6, 367–378 (1970). https://doi.org/10.1007/BF00182625

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  • DOI: https://doi.org/10.1007/BF00182625

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