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The compliance approach for analyzing bimaterial interface cracks

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A numerical method is presented for analyzing the mixed mode interface crack between two dissimilar isotropic materials. A simple and efficient solution procedure is developed based on the finite element method and the compliance approach in conjunction with the fundamental relations in fracture mechanics. The procedure makes it possible to separate the Mode I and Mode II stress intensity factors KI and KII respectively for an interfacial crack in bi-material media under different loading conditions. The strain energy release rate is first computed, then using the compliance method and the known auxiliary solutions, the values for KI and KII are evaluated. The procedure is investigated for different crack extensions. The formulations used for computing the strain energy release rate and the stress intensity factors are presented. The method converges to accurate solutions for small crack extensions. A numerical example is presented to demonstrate the accuracy of the proposed model.
Rocznik
Strony
275--281
Opis fizyczny
Bibliogr. 14 poz., rys., wykr.
Twórcy
  • University of Sharjah, Department of Civil Engineering, Sharjah 27272, United Arab Emirates
  • University of Sharjah, Department of Civil Engineering, Sharjah 27272, United Arab Emirates
Bibliografia
  • [1] Eischen, J.W. An improved method for computing the J2 integral (1987) Engineering Fracture Mechanics, 26 (5), pp. 691-700. DOI: 10.1016/0013-7944(87)90134-2
  • [2] England, A.H. A crack between dissimilar media (1965) J. Appl. Mech., 32 (2), pp. 400-402.
  • [3] Erdogan, F. Stress distribution in a nonhomogeneous elastic plan with cracks (1960) Journal of Applied Mechanics, Transactions ASME, 30 (2), pp. 232-236. DOI: 10.1115/1.3636517
  • [4] Hamoush, S.A., Ahmad, S.H. ModeI and modeI stress intensity factors for interfacial cracks in bi-material media (1989) Engineering Fracture Mechanics, 33 (3), pp. 421-427. DOI: 10.1016/0013-7944(89)90091-X
  • [5] Hamoush, S.A., Abdel-Fattah, H. Computation of stress intensity factors by the compliance approach (2000) Computer Assisted Mechanics and Engineering Sciences, 7 (1), pp. 81-90
  • [6] Hamoush, S.A., Reza Salami, M. Analysing a mixed-mode plane problem by using Jk integrals (1990) International Journal of Fatigue, 12 (5), pp. 441-445.
  • [7] Hamoush, S.A., Reza Salami, M.A stiffness derivative technique to determine mixed mode stress intensity factors of rectilinear anisotropic solids(1993) Engineering Fracture Mechanics, 44 (2), pp. 297-305. DOI: 10.1016/0013-7944(93)90055-W
  • [8] Golebiewska Herrmann, A., Herrmann, G. On energy-release rates for a plane crack(1981) Journal of Applied Mechanics, Transactions ASME, 48 (3), pp. 525-528. DOI: 10.1115/1.3157667
  • [9]Hong, C.-C., Stern, M. The computation of stress intensity factors in dissimilar materials(1978) Journal of Elasticity, 8 (1), pp. 21-34. DOI: 10.1007/BF00044508
  • [10] Irwin, G.R. Analysis of stresses and strains near the end of a crack traversing a plate(1957) J. Appl. Mech., 24 (3), pp. 361-364.
  • [11] Sih, G.C., Rice, J.R. The bending of plates of dissimilar materials with cracks(1964) Journal of Applied Mechanics, Transactions ASME, 31 (3), pp. 477-482. DOI: 10.1115/1.3629665
  • [12 Rice, J.R., Sih, G.C. Plane problems of cracks in dissimilar media(1965) J. Appl. Mech., 32, pp. 418-423.
  • [13] Smelser, R.E. Evaluation of stress intensity factors for bimaterial bodies using numerical crack flank displacementdata(1979) International Journal of Fracture, 15 (2), pp. 135-143. DOI: 10.1007/BF00037829
  • [14] Williams, M.L. The stresses around a fault or crack in dissimilar media(1959) Bulletin of the Seismological Society of America, 49 (2), pp. 199-204.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0011-0047
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