Abstract
A plane-strain Finite Element (FE) analysis has been performed on a composite model consisting of a homogeneous, side-cracked elastic material with a single, symmetrically located elastic particle under pure mode-I loading, in an attempt to simply characterize the crack-particle interaction for a general two-phase composite. In order to uniquely characterize the geometry of a given model (crack length, particle size and crack-particle separation) it is necessary to introduce a new comprehensive ‘geometric’ parameter. For the purpose of making this analysis broadly applicable, a wide range of elastic moduli for both the matrix and the reinforcement are incorporated into the analysis. The results indicate that the particle has a strong influence on the crack-tip stress intensity factor (SIF) only when the particle is relativelynear the tip as determined by the geometric parameter. Within this crack-tip region it is found that particles elongated parallel to the crack are more able to affect the crack-tip SIF than identically sized particles elongated perpendicular to the crack. Finally, the differential SIF of the composite is given as a general function of the geometric variables, particle shape (aspect ratio) and Dundurs' parameter α which characterizes the elastic mismatch of the constituents. With this relation, a simple and accurate estimate of the elastic interaction between a crack and particles of various shapes can be made on many combinations of materials without an extensive numerical analysis.
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References
T. Christman and S. Suresh,Acta Metallurgica 36 (1988) 1691–1704.
T. Christman, A. Needleman, S. Nutt and S. Suresh,Materials Science and Engineering A107 (1989) 49–61.
K.K. Chawla,Composite Materials, Springer-Verlag, Berlin (1987).
E.M. Lenoe, R.N. Katz and J.J. Burke (ed.),Ceramics for High-Performance Application III, Reliability (1983).
Y.L. Su and J. Gurland,Materials Science and Engineering 95 (1987) 151–165.
V. Tvergaard,Acta Metallurgica 38 (1990) 185–194.
F. Erdogan,Engineering Fracture Mechanics 4 (1972) 811–840.
G. Povirk and A. Needleman,Journal of Engineering Materials and Technology, in press.
W. Kreher,ZAMM 68 (1988) 147–154.
F. Erdogan, G.D. Gupta and M. Ratwani,Journal of Applied Mechanics (1974) 1007–1013.
W. Mueller and S. Schmauder,International Journal of Solids and Structures 29 (1992) 1907–1918.
T. Faber and A.G. Evans,Journal of the American Ceramic Society (1989) Parts I and II.
M.F. Ashby, F.J. Blunt and M. Bannister,Acta Metallurgica 37 (1989) 1847–1855.
M.C. Shaw, D.B. Marshall and A.G. Evans, inProceedings, Material Research Society Symposium 170 (1990) 25–39.
W. Mueller, S. Schmauder, A.G. Evans and R.M. McMeeking,International Journal of Fracture, in press.
R. Twickler, M. Twickler and W. Dahl,Engineering Fracture Mechanics 24 (1986) 553–565.
O.C. Zienkiewicz,The Finite Element Method in Engineering Science, McGraw-Hill, London (1971).
INTES Corp., Industriestr. 2, D-7000 Stuttgart 80.
P. Lipetzky and S. Schmauder, Crack-Particle Interaction in Two-Phase Composites: Part II, Crack Deflection,International Journal of Fracture, submitted.
F.G. Buchholz and M.F. Kanninen,Paper presented at First World Congress on Computational Mechanics, (WCCM1), Austin, Texas, USA (1986).
E.F. Rybicki and M.F. Kanninen,Engineering Fracture Mechanics 9 (1977) 931–938.
S. Schmauder and M. Meyer,Z Metallkd 83 (1992) 524–527.
K.H. Hahn and K. Vedula,Scripta Metallurgica 23 (1989) 7–12.
A.G. Rozner and R.J. Wasilewski,Journal of Inst Met 94 (1966) 169–175.
Personal communication, Dr. A. Wanner, MPI, Stuttgart.
P. Lipetzky, A. Wanner and B. Schietinger, manuscript in preparation.
T. Suga, G. Elssner and S. Schmauder,Journal of Composite Materials 22 (1988) 917–921.
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Lipetzky, P., Schmauder, S. Crack-particle interaction in two-phase composites Part I: Particle shape effects. Int J Fract 65, 345–358 (1994). https://doi.org/10.1007/BF00012373
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DOI: https://doi.org/10.1007/BF00012373