Abstract
An energy based numerical method has been developed for extracting stress intensities at the tip of an interface crack bounded by two orthogonal dissimilar materials and subjected to a general state of stress. The method is most suitable for mixed mode delamination fracture studies often observed in brittle matrix composite laminates. After obtaining the near-tip finite element solution for a given laminated geometry, the elastic energy release rate, i.e., J is computed via the stiffness derivative method. The individual orthotropic stress intensities, K I *, K II * are then calculated at a minimum computational expense from further J calculations perturbed by reciprocal stress intensity increments. Results obtained using the Crack Surface Displacement (CSD) method were found to be in good agreement with those obtained using the energy method. Comparisons with theoretical solutions indicate that the energy method can be used accurately even when relatively coarse finite element meshes containing approximately 200 eight noded isoparametric elements are used. The method provides an effective and reliable tool for studying via the method of finite elements delamination phenomena in composite anisotropic laminates.
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References
P.P.L. Matos, R.M. McMeeking, P.G. Charalambides and M.D. Drory, International Journal of Fracture 40 (1989) 235–254.
S.S. Wang and J.F. Yau, AIAA Journal 19 (1981) 1350–1356.
D.M. Parks, International Journal of Fracture 10 (1978) 487–502.
G.R. Irwin, Journal of Applied Mechanics 24 (1957) 361–364.
M.L. Williams, Bulletin of the Seismological Society of America 49 (1959) 199–204.
Z. Suo, Proceedings, Royal Society of London A. 427 (1990) 331–358.
Z. Suo, Journal of Applied Mechanics 57 (1990) 627–634.
P.G. Charalambides, Journal of American Ceramic Society 74 [12] (1991) 3066–3080.
J. Dundurs, Journal of Applied Mechanics 36 (1968) 650–652.
J.R. Rice, Journal of Applied Mechanics 55 (1988) 98–103.
J.W. Hutchinson, Scripta Metallurgica (1990).
J. Qu and J.L. Bassani, Journal of Mechanics and Physics of Solids 37 (1989) 417–433.
S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body Holden Day, San Francisco: (1963).
J.D. Eshelby, W.T. Read and W. Shockley, Acta Metallurgica 1 (1953), 251–259.
N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Groningen, Holland (1953).
M. Gotoh, International Journal of Fracture 3 (1967) 253–260.
A. Hoenig, Engineering Fracture Mechanics 16 (1982) 393–403.
T.C.T. Ting, International Journal of Solids and Structures 22 (1986) 965–983.
J.L. Bassani and J. Qu, Journal of Mechanics and Physics of Solids 37 (1989) 435–453.
J.R. Rice, Journal of Applied Mechanics 35 (1968) 379–386.
J.R. Rice, pp. 192–308 in Fracture, An Advance Treatise, Vol. 2, H. Leibowitz (ed.). Academic Press, New York (1968).
F.H.K. Chen and R.T. Shield, Zeitschrift Fuer Angewandte Mathematik und Physik 28 (1977) 1–22.
P.G. Charalambides et al., Mechanics of Materials 8 (1990) 269–283.
P.G. Charalambides et al., Journal of Applied Mechanics 56 (1989) 77–82.
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Charalambides, P.G., Zhang, W. An energy method for calculating the stress intensities in orthotropic bimaterial fracture. Int J Fract 76, 97–120 (1996). https://doi.org/10.1007/BF00018532
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DOI: https://doi.org/10.1007/BF00018532