Axisymmetric torsion of an internally cracked elastic medium by two embedded rigid discs

• Autorzy: Madani F. , Kebli B.
• Języki publikacji: EN

Abstrakty

EN

The present work aims to investigate a penny-shaped crack problem in the interior of a homogeneous elastic material at the symmetry plane, under an axisymmetric torsion by two circular rigid discs symmetrically located in the elastic medium. The two discs rotate with the same angle in the different direction about the axis passing through their centers. The general solution of this problem is obtained by using the Hankel transforms method. The corresponding doubly mixed boundary value problem associated with the rigid disc and the penny-shaped is reduced to a system of dual integral equations, which are transformed, to a Fredholm integral equations of the second kind. Using the quadrature rule, the resulting system is converted to a system of infinite algebraic equations. The variation in the displacement, stress and stress intensity factor are presented for some particular cases of the problem.

Słowa kluczowe

EN

elastic medium; axisymmetric torsion; penny-shaped crack; dual integral equations; Fredholm integral equations; stress intensity factor

PL

ośrodek sprężysty; szczelina typu “penny-shape”; równanie całkowe Fredholma; współczynnik intensywności naprężeń

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 21, nr 2
• Strony: 363--377
• Opis fizyczny: Bibliogr. 17 poz., 1 rys., wykr.

Twórcy

autor

Madani F.

• Department of Mechanical Engineering, Ecole Natioanle Polytechnique, El-Harrach, Algiers, Algeria

autor

Kebli B.

• Department of Mechanical Engineering, Ecole Natioanle Polytechnique, El-Harrach, Algiers, Algeria

Bibliografia

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• [12] Ahmadi, S. F. and Eskandari, M.: Rocking rotation of a rigid disk embedded in a transversely isotropic half-space, Civil Eng. Infra. J., 47, 125-138, 2014.
• [13] Sih, G. C. and Chen, E. P.: Torsion of a laminar composite debonded over a penny-shaped area, J. Franklin Inst., 293, 251-261, 1972.
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• [16] Basu, S. and Mandal, S. C.: Impact of Torsional Load on a Penny-Shaped Crack in an Elastic Layer Sandwiched Between Two Elastic Half-Space, Int. J. Appl. Comput. Math , 2, 533-543, 2016.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).