Structural Engineering and Mechanics

  • 제5권6호
  • /
  • Pages.817-837
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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An interface element for modelling the onset and growth of mixed-mode cracking in aluminium and fibre metal laminates

  • Hashagen, Frank (Department of Civil Engineering, Delft University of Technology) ;
  • de Borst, Rene (Department of Civil Engineering, Delft University of Technology)
  • 발행 : 1997.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

In the present contribution an interface crack model is introduced which is capable of modelling crack initialisation and growth in aluminium as well as in Fibre Metal Laminates. Interface elements are inserted in a finite element mesh with a yield function which bounds all states of stress in the interface. Hardening occurs after a state of stress exceeds the yield stress of the material. The hardening branch is bounded by the ultimate stress of the material. Thereafter, the state of stress is reduced to zero while the inelastic deformations grow. The energy dissipated by the inelastic deformations in this process equals the fracture energy of the material. The model is applied to calculate the onset and growth of cracking in centre cracked plates made of aluminium and GLARE$^{(R)}$. The impact of the model parameters on the performance of the crack model is studied by comparisons of the numerical results with experimental data.

키워드

참고문헌

  1. Allix, O. and Ladeveze, P. (1992), "Modelling and computation of delamination for composite laminates", Arch. Mech., 44, 5-13.
  2. ASTM E 561-86 (1990), "Standard practise for R-curve determination", Annual book of ASTM Standards.
  3. Bazant, Z.P. (1976), "Instability, ductility and size effect in strain-softening concrete", ASCE J. ENg. Mech., 102(2), 331-344.
  4. Beer, G. (1985), "An isoparametric joint/interface element for finite element analysis", Int. J. Numer. Meth. Eng., 21, 585-600. https://doi.org/10.1002/nme.1620210402
  5. Broek, D. (1983), Elementary Engineering Fracture Mechanics, Nijhoff Publishers, Dordrecht.
  6. Cope, R.J., Rao, P.V., Clark, L.A. and Norris, P. (1980), "Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs", Numer. meth. Nonl. Probl., Eds.: Taylor C. et al., Pineridge Press, Swansea, 457-470.
  7. Eftis, J. and Liebowitz, H. (1972), "On the modified Westergaard equation for certain plane crack problems", Int. J. Fracture, 8, 383-392.
  8. Feenstra, P.H. (1993), "Computational aspects of biaxial stress in plain reinforced concrete", Delft University of Technology, Delft.
  9. Hashagen, F. (1996), "An interface elment for crack modelling in aluminium", TU Delft report nr.: 03-21-0-31-10, Delft University of Technology, Delft.
  10. Hashagen, F. and Borst, R. de (1997), "A model for anisotropic hardening combined with Hoffman plasticity", Proceedings of COMPLAS 1997, Barcelona, March.
  11. Hofstetter, G. and Mang, H.A. (1995), Computational mechanics of Reinforced Concrete Structures, Vieweg, Braunschweig.
  12. Hohberg, J.-M. (1990), "A note on spurious oscillations in FEM joint elements", Earthq. Eng. Struc. Dyn., 19, 773-779. https://doi.org/10.1002/eqe.4290190511
  13. Irwin, G.R. (1958), Handbuch der Physik, Ed. Flugge, Springer, Berlin.
  14. Keuser, M., Mehlhorn, G. and Cornelius, V. (1983), "Bond between prestressed steel and concrete-computer analysis using ADINA", Comp. Struct., 17, 669-676. https://doi.org/10.1016/0045-7949(83)90080-9
  15. Parisch, H. (1995), "A continuum-based shell theory for nonlinear applications", Int. J. Numer. Meth. Eng., 38, 1855-1883. https://doi.org/10.1002/nme.1620381105
  16. Rots, J.G. (1988), "Computational modelling of concrete fracture", Dissertation, Delft University of Technology, Delft.
  17. Rots, J.G. and Schellekens, J.C.J. (1990), "Interface elements in concrete mechanics", Computer Aided Analysis and Design of Concrete Structures, Eds.: Bicanic N., Mang H., Pineridge Press, Swansea, 909-918.
  18. Schafer, H. (1975), "A contribution to the solution of contact problems with the aid of bond elements", Comp. Meth. Appl. Mech. Eng., 6, 335-354. https://doi.org/10.1016/0045-7825(75)90025-0
  19. Schellekens, J.C.J. (1992), "Computational strategies for composite structures", Dissertation, Delft University of Technology, Delft.
  20. Schellekens, J.C.J. and Borst, R. de (1993), "On the integration of interface elements", Int. J. Num. Meth. Eng., 36, 43-66. https://doi.org/10.1002/nme.1620360104
  21. Tvergaard, V. and Hutchinson, J.W. (1993), "The influence of plasticity on mixed-mode interface toughness", J. Mech. Phys. Solids, 41(6), 1119-1135. https://doi.org/10.1016/0022-5096(93)90057-M
  22. Vries, T. de (1994), "Various parameters concerning the residual strength of aircraft materials, Part II, test data and charts", Graduation Thesis, Delft University of Technology, Delft.
  23. Willam, K., pramono, E. and Sture, S. (1987), "Fundamental issues of smeared crack models", Proc. SEM-RILEM Int. Conf. on Fracture of Concrete and Rock, Eds.: Shah S.P., Swartz S.E., SEM, Bethel, 192-207.

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  2. A weak penalty formulation remedying traction oscillations in interface elements vol.310, 2016, https://doi.org/10.1016/j.cma.2016.07.031
  3. Displacement‐based and hybrid formulations of zero‐thickness mortar/interface elements for unmatched meshes, with application to fracture mechanics vol.122, pp.3, 1997, https://doi.org/10.1002/nme.6562