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Multiple-cracked fatigue crack growth by BEM

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Abstract

The dual boundary element method is applied for the two-dimensional linear elastic analysis of fatigue problem of multiple-cracked body. The traction integral equation is applied on ones of surfaces of cracks while the usual displacement integral equation simultaneously on the others. General multiple crack growth problem is solved in a single-region formulation. All crack surfaces are discretized with discontinuous quadratic boundary elements. J-integral technique is used to evaluate stress intensity factors. The real extension path of cracks is simulated by a linear incremental crack extension, based on the maximum principal stress criterion. For each increment analysis of the cracks, crack extension is conveniently modelled with new boundary elements. Remeshing is no longer necessary. Fatigue life analysis is carried out with Paris' formulae. Several numerical examples show high efficiency of present method.

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References

  • Andre, R. 1990: Calcul de prevision de durée de vie de pieces fissurees soumises à la fatigue, Mémoire de fin d'etude d'Ingenieur civil, University of Liège

  • Bueckner, H. F. 1973: Field singularities and related integral representation, Mechanics of Fracture, (ed. by Sih, G. C.), Volume 1, Nordhoff

  • Cruse, T. A. 1977: Mathematical foundations of the boundary integral equation method in solid mechanics, Report N0. AFOSR-TR-77-1002, Pratt and Whitney Aircraft Group

  • ErdoganF.; SihG. C. 1963: On the crack extension in plates under plane loading and transverse shear, J. Basic Eng. 85: 519–527

    Google Scholar 

  • HongH.; ChenJ. 1988: Derivations of integral equations of elasticity, Journ. Engng. Meth. 114 (6): 1028–1044

    Google Scholar 

  • HussainM. A.; PuS. L.; UnderwoodJ. 1974: Strain energy release rate for a crack under combined mode I and mode II, in Fracture Analysis, ASTM STP560, ASTM, Philadelphia 2–28

    Google Scholar 

  • KeerL. M.; FreedmanJ. M. 1973: Tensile strip with edge cracks, Int. J. Engng. Sci. 11: 1265–1275

    Google Scholar 

  • Kitagawa, H., Okamura, H.; Ishikawa, H. 1978: Application of J-integral to mixed-mode crack problems, Trans. JSME, N0. 760-13, 46–48; ibid, N0. 780-4, 52–54

  • ParkJ. H.; AtluriS. N. 1993: Fatigue growth of multiple cracks near a row of fastener holes in a fuselage lap joint, Computational Mechanics 13: 189–203

    Google Scholar 

  • Park, J. H.; Singh, R.; Chang, R. Pyo; Atluri, S. N. 1994: Structural integrity of panels with multisite fatigue damage, 35th AIAA-94-1457-CP Structure, Structure Dynamics and Material conference, 1191–1200

  • PortelaA., AliabadiM. H.; RookeD. P. (1991): The dual boundary element method: effective implementation for crack problem, Int. Journ. Num. Meth. Engng. 33: 1269–1287

    Google Scholar 

  • Portela, A.; Aliabadi, M. H.; Rooke, D. P. 1992: Dual boundary element analysis of fatigue crack growth, in Advances in Boundary Element Methods for Fracture Mechanics (ed. by Aliabadi, M. H.; Brebbia, C. A.)

  • SihG. C. 1973: Some basic problems in fracture mechanics and new concepts, Journ. Engng. Frac. Mech. 5: 365–377

    Google Scholar 

  • TanakaK. 1974: Fatigue crack propagation from a crack inclined to the cyclic tensile axis, Eng. Frac. Mech. 6: 493–507

    Google Scholar 

  • Tu, S.-T.; Cai, R.-Y. 1993: A coupling of boundary elements and singular-integral equation for the solution of the fatigue cracked-body, Stress Analysis, 239–247

  • WatsonJ. O. 1986: Hermitian cubic boundary elements for plane strain, in Developments in Boundary Element Methods 4 (ed by Banerjee and Watson), Elsevier Applied Science Publishers, Barking, U.K.

    Google Scholar 

  • YanA. M.; Nguyen-DangH. 1994a: Elastic analysis of the multiple-cracked structure by BEM, IIIe Congrès National de Mécanique Théorique et Appliquée, (ed. by HoggeM.; DickE.), Comité National de Mécanique Théorique et Appliquée Belgium, 1–4

    Google Scholar 

  • YanA. M.; Nguyen-DangH. 1994b: Stress intensity factor and crack extension of the multiple-cracked pressure cylinder, Eng. failure Analysis 1 (4): 307–315

    Google Scholar 

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Authors and Affiliations

  1. LTAS-Fracture Mechanics, University of Liège 21, Rue Ernest Solvay, B 4000, Liège, Belgium

    A. M. Yan & H. Nguyen-Dang

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  1. A. M. Yan
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  2. H. Nguyen-Dang
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Communicated by S. N. Atluri, 24 April 1995

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Yan, A.M., Nguyen-Dang, H. Multiple-cracked fatigue crack growth by BEM. Computational Mechanics 16, 273–280 (1995). https://doi.org/10.1007/BF00350716

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