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Axisymmetric Torsion of an Elastic Layer Sandwiched between Two Elastic Half-Spaces with Two Interfaced Cracks

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The present article examines the problem related to the axisymmetric torsion of an elastic layer by a circular rigid disc at the symmetry plane. The layer is sandwiched between two similar elastic half-spaces with two penny-shaped cracks symmetrically located at the interfaces between the two bonded dissimilar media. The mixed boundary-value problem is transformed, by means of the Hankel integral transformation, to dual integral equations, that are reduced, to a Fredholm integral equation of the second kind. The numerical methods are used to convert the resulting system to a system of infinite algebraic equations. Some physical quantities such as the stress intensity factor and the moment are calculated and presented numerically according to some relevant parameters. The numerical results show that the discontinuities around the crack and the inclusion cause a large increase in the stresses that decay with distance from the disc-loaded. Furthermore, the dependence of the stress intensity factor on the disc size, the distance between the crack and the disc, and the shear parameter is also observerd.
Wydawca
Rocznik
Strony
57--66
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
  • Mechanical Engineering and Development Laboratory, Mechanical Engineering Department, National Polytechnic School, 10, Avenue Hassen Badi- B.P. 182- 16200, El- Harrach, Algiers, Algeria
  • Mechanical Engineering and Development Laboratory, Mechanical Engineering Department, National Polytechnic School, 10, Avenue Hassen Badi- B.P. 182- 16200, El-Harrach, Algiers, Algeria
Bibliografia
  • [1] Menshykov, O.V., Menshykov, V.A. and Guz, I.A.: The contact problem for an open penny-shaped crack under normally incident tension-compression wave. Eng. Fract. Mech. 75(5), 1114-1126 (2008).
  • [2] Selvadurai, A.P.S.: Asymmetric displacements of a rigid disc inclusion embedded in a transversely isotropic elastic medium of infinite extent . Int. J. Sci. 18, 979-686 (1980)
  • [3] Selvadurai, A.P.S.: Rotary oscillations of a rigid disc inclusion embedded in an isotropic elastic infinite space. lnt. J. Solids. Struct. 17, 493-498 (1981)
  • [4] Reissner E., Sagoci H.F.: Forced torsion oscillation of an halfspace I, Int. J. Appl. Phys., 15, (1944), 652–654
  • [5] Sneddon I.N.: Note on a boundary value problem of Reissner and Sagoci, Int. J. Appl. Phys., 18, (1947), 130–132
  • [6] Collins W.D.: The forced torsional oscillations of an elastic halfspace and an elastic stratum, Pro. London. Math. Society, 12, (1962), 226–244
  • [7] Gladwell G.M.L.: The forced torsional vibration of an elastic stratum, Int. J. Eng. Sci., 7, (1969), 1011–1024
  • [8] Pak R.Y.S., Saphores J.D.M.: Torsion of a rigid disc in a halfspace, Int. J. Eng Sci., 29, (1991),
  • [9] 1–12
  • [10] Bacci A., Bennati, S.: An approximate explicit solution for the local torsion of an elastic layer, Mech. Struct. Mach., 24, (1996), 21–38
  • [11] Singh B.M., Danyluk H.T., Vrbik J., Rokne J., Dhaliwal R.S.: The Reissner-Sagoci Problem for a Non-homogeneous Half-space with a Surface Constraint, Meccanica, 38, (2003), 453–465
  • [12] Guo-cai W., Long-zhu C.J.: Torsional oscillations of a rigid disc bonded to multilayered poroelastic medium, Int. Zheijang. . Sci., 6(3), (2005), 213–221
  • [13] Yu H.Y.: Forced torsional oscillations of multilayered solids, Int. J. Eng. Sci., 46, (2008), 250–259
  • [14] Pal P.C., Mandal D., Sen B.: Torsional Oscillations of a Rigid Disc Embedded in a Transversely Isotropic Elastic Half-Space, Adv. Theor. Appl. Mech., 4, (2011), 177–188
  • [15] Ahmadi S.F.; Eskandari M.: Rocking rotation of a rigid disk embedded in a transversely isotropic half-space, Civil Eng. Infra. J., 47, (2014), 125–138
  • [16] Sih G.C., Chen E.P.: Torsion of a laminar composite debonded over a penny-shaped area, J. Franklin Inst., 293, (1972), 251–261
  • [17] Low R. D.: On the torsion of elastic half space with embedded penny-shaped flaws, J. Appl. Mech., 39, (1972), 786–790
  • [18] Dhawan G. K.: On the torsion of elastic half-space with pennyshaped crack, Defense. Sci. J., 24, (1974), 15–22
  • [19] Basu S.; 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, (2016), 533–543
  • [20] Debnath, L., Bhatta, D.:, Integral transforms and their applications, Chapman Hall, CRC, (2007) Madani, F., Kebli, B.: Axisymmetric Torsion of an Internally Cracked Elastic Medium by Two Embedded Rigid Discs, Mechanics and Mechanical Engineering , 21, (2017), 363–377
  • [21] Kythe, P. K.; Puri, P.: Computational methods for linear integral equations. Birkhäuser, Boston (2002)
  • [22] Atkinson, K.: The numerical solution of integral equations of the second kind. Cambridge, University Press. New York (1997)
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Błędna numeracja w bibliografii (poz. 9).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9f5aa4b5-7c8a-4f05-8180-9aa011c5ad11
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