Structural Engineering and Mechanics

  • 제8권5호
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  • Pages.439-452
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A boundary element approach for quasibrittle fracture propagation analysis

  • Tin-Loi, F. (School of Civil and Environmental Engineering, University of New South Wales)
  • 발행 : 1999.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

A simple numerical scheme suitable for tracing the fracture propagation path for structures idealized by means of Hillerborg's classical cohesive crack model is presented. A direct collocation, multidomain boundary element method is adopted for the required space discretization. The algorithm proposed is necessarily iterative in nature since the crack itinerary is a priori unknown. The fracture process is assumed to be governed by a path-dependent generally nonlinear softening law. The potentialities of the method are illustrated through two examples.

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참고문헌

  1. Banerjee, P.K. (1993), The Boundary Element Methods in Engineering, McGraw-Hill, London.
  2. Barenblatt, G.I. (1962), "The mathematical theory of equilibrium cracks in brittle fracture" , Advances in Applied Mechanics, 7, 55-129. https://doi.org/10.1016/S0065-2156(08)70121-2
  3. Bazant, Z.P. and Cedolin, L. (1992), Stability of Structures: Elastic, Inelastic, Fracture, and Damage Theories, Oxford University Press, New York.
  4. Bird, W.W. and Martin, J.B. (1990), "Consistent predictors and the solution of the piecewise holonomic incremental problem in elasto-plasticity" , Engineering Structures, 12, 9-14. https://doi.org/10.1016/0141-0296(90)90033-O
  5. Bolzon, G., Maier, G. and Tin-Loi, F. (1995), "Holonomic and nonholonomic simulations of quasibrittle fracture: a comparative study of mathematical programming approaches", Fracture Mechanics of Concrete Structures (ed., F.H. Wittmann), Aedificatio Publishers, Freiburg, Germany, 885-898.
  6. Bolzon, G., Maier, G. and Tin-Loi, F. (1997), "On multiplicity of solutions in quasi-brittle fracture computations", Computational Mechanics, 19, 511-516. https://doi.org/10.1007/s004660050201
  7. Carpinteri, A., Valente, S., Ferrara, G. and Melchiorri, G. (1993), "Is mode II fracture energy a real material property?" , Computers & Structures, 48, 397-413. https://doi.org/10.1016/0045-7949(93)90316-6
  8. Cen, Z. and Maier, G. (1992), "Bifurcations and instabilities in fracture of cohesive-softening structures: a boundary element analysis", Fatigue and Fracture of Engineering Materials and Structures, 15, 911-928 . https://doi.org/10.1111/j.1460-2695.1992.tb00066.x
  9. Corigliano, A. and Perego, U. (1993), "Generalized midpoint finite element dynamic analysis of elastoplastic systmes", International Journal of Numerical Methods in Engineering, 36, 361-383. https://doi.org/10.1002/nme.1620360302
  10. Dugdale, D.S. (1960), Yielding of steel sheets containing slits" , Journal of the Mechanics and Physics of Solids, 8, 100-104. https://doi.org/10.1016/0022-5096(60)90013-2
  11. Harder, N.A. (1990), "Computer simulated crack propagation in concrete", in Fracture Behaviour and Design of Materials and Structures (ed., D. Firrao), Chameleon Press, London, 706-714.
  12. Hillerborg, A., Modeer, M. and Petersson, P.E. (1976), "Analysis of crack formation and crack growth in concrete by means of means of fracture mechanics and finite elements" , Cement and Concrete Research, 6, 773-782. https://doi.org/10.1016/0008-8846(76)90007-7
  13. Liang, R.Y. and Li, Y.N. (1991a), "Simulations of nonlinear fracture process zone in cimentitious material - a boundary element approach", Computational Mechanics, 7, 413-427. https://doi.org/10.1007/BF00350169
  14. Liang, R.Y. and Li, Y.N. (1991b), "Study of size effect in concrete using fictitious crack model", Journal of Engineering Mechanics, ASCE, 117, 1631-1651. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:7(1631)
  15. Maier, G. and Frangi, A. (1998), "Symmetric boundary element method for "discrete" crack modelling of fracture processes", Computer Assisted Mechanics and Engineering Science (forthcoming).
  16. Tin-Loi, F. and Ferris, M.C. (1997), "Holonomic analysis of quasibrittle fracture with nonlinear softening", Advances in Fracture Research (eds, B.L. Karihaloo, Y.W. Mai, M.I. Ripley and R.O. Ritchie), Pergamon, Oxford, 2183-2190.