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Fracture analysis of interfacial crack by global-local finite element

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Abstract

An eigenfunction expansion is used to formulate the global element on the crack tip. The global-local finite element method employs both conventional finite element and classical Rayleigh-Ritz kinematic approach. The hybrid Ritz method not only preserves the finite element modelling capability but adds the advantage of using prior information regarding the anticipate behaviour of the particular problem. Thus, it is able to achieve better accuracy with fewer elements in comparison with conventional finite element. Several examples relative to crack problems are presented to demonstrate the global-local finite element method.

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References

  • Charalambides, P.G., Lund, J., Evans, A.G. and McMeeking, R.M., (1989). A test specimen for determining the fracture resistance of bimaterial interfaces, Journal of Applied Mechanics 56, 77–82.

    Google Scholar 

  • Clements, D.L. (1971). A crack between dissimilar anisotropic media. International Journal of Engineering Science 9, 257–265.

    Google Scholar 

  • Deng, X. (1992). Complete complex series expansions of near-tip fields for steadily growing interface cracks in dissimilar isotropic. Engineering Fracture Mechanics 42, 237–242.

    Google Scholar 

  • Deng, X. (1993). General crack-tip fields for stationary and steadily growing interface cracks in anisotropic bimaterials, Journal of Applied Mechanics 60, 183–189.

    Google Scholar 

  • England, A.H. (1965). A crack between dissimilar media. Journal of Applied Mechanics 32, 400–402.

    Google Scholar 

  • Erdogan, F. (1963). Stress distribution in a non-homogeneous elastic plane with cracks. Jorurnal of Applied Mechanics 30, 232–236.

    Google Scholar 

  • Fedderson, C.E. (1967). in ASTM STP 410, 77–79.

    Google Scholar 

  • Gotch, M. (1967). Some problems of bonded anisotropic plates with cracks along the bond. International Jouranl of Fracture Mechanics 3, 253–265.

    Google Scholar 

  • Mote, C.D. Jr. (1971). Global-local finite element. Internatial Journal for Numerical Method in Engineering 3, 565–574.

    Google Scholar 

  • Muller, D.E. (1956). A method for solving algebraic equations using an automatic computer. Mathematical Tables and Aids to Computation 10.

  • Rice, J.R. (1988). Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics 55, 98–103.

    Google Scholar 

  • Sih, G.C. and Rice, J.R. (1964). The bending of plates of dissimilar materials with cracks. Journal of Applied Mechanics 31, 477–482.

    Google Scholar 

  • Sih, G.C., Paris, P.C. and Irwin, G.R. (1965). On cracks in rectilinearly anisotropic body. International Journal Fracture Mechanics 1, 189–202.

    Google Scholar 

  • Suo, Z. (1990). Singularities, interfaces and cracks in dissimilar anisotropic media. Proceedings of the Royal Society London A427, 331–358.

    Google Scholar 

  • Wang, S.S. and Choi, I. (1983). The interface crack between dissimilar anisotropic composite materials. Journal of Applied Mechanics 50, 169–178.

    Google Scholar 

  • Williams, M.L. (1959). The stress around a fault or crack in dissimilar media. Bulletin of the Seismology Society of America 49, 199–204.

    Google Scholar 

  • Willis, J.R. (1971). Fracture mechanics of interfacial cracks. Journal of Applied Mechanics and Physics of Solids 19, 353–368

    Google Scholar 

  • Zienkiewicz, O.C. (1971). The finite element method in engineering science. McGraw-Hill, New-York.

    Google Scholar 

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Her, SC. Fracture analysis of interfacial crack by global-local finite element. International Journal of Fracture 106, 177–193 (2000). https://doi.org/10.1023/A:1007682601766

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