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Micromechanical elastic cracktip stresses in a fibrous composite

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Abstract

This paper presents elastic stress distributions near a cracktip in a continuous fiber composite. The material heterogeneity is explicitly accounted for by using the finite element method and a new Mesh Superposition Technique. This new technique superposes a fine mesh with heterogeneous material properties over a coarse mesh with homogeneous ones. The results indicate that the load transferred by fibers near a cracktip may be well described by the homogeneous orthotropic elastic K 1 field. A technique to postprocess the K 1 field to accurately obtain the detailed stress distributions within the fiber and matrix is also presented.

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References

  1. D.S.Wilkinson and V.Vitek, Acta Metallurgica 30 (1982) 1723–1732.

    Google Scholar 

  2. G.R. Irwin, in Encyclopedia of Physics, S. Flugge (ed.), Vol. 6, Springer 551–590.

  3. J.W.Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

    Google Scholar 

  4. J.R.Rice and G.F.Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

    Google Scholar 

  5. H.Hui and H.Riedel, International Journal of Fracture 17 (1981) 409–425.

    Google Scholar 

  6. G.C. Sih and H. Liebowitz, Fracture: An Advanced Treatise, Vol. II, Mathematical Fundamentals, H. Liebowitz (ed.), Academic Press (1968) Chapter 2, Part IV.

  7. J.M. Hedgepeth, Stress Concentrations in Filamentary Structures, NASA TND-882, NASA Langley (1961).

  8. E.D.ReedyJr., Journal of Composite Materials, 19 (1985) 533–543.

    Google Scholar 

  9. J.N.Rossettos and M.Shishesaz, Journal of Applied Mechanics 54 (1987) 723–724.

    Google Scholar 

  10. J.A.Nairn, Journal of Composite Materials 22 (1988) 561–588.

    Google Scholar 

  11. M.F. Kanninen, E.F. Rybicki and W.I. Griffith, in Composite Materials: Testing and Design, ASTM STP 617, Philadelphia, PA. (1977) 53–69.

  12. R.Ballarini and S.Ahmed, ASME Journal of Engineering for Gas Turbines and Power 112 (1989) 512–520.

    Google Scholar 

  13. J.Fish, ‘The s-version of the finite element method’, SCOREC report #18–1990, Rensselaer Polytechnic Institute, Troy, NY. Also Computers and Structures 43, No. 3 (1992) 539–547.

    Google Scholar 

  14. J.Fish and S.Markolefas, ‘The s-version of the finite element method for multilayer laminates’, SCOREC report #16–1990, Rensselaer Polytechnic Institute, Troy, NY, Also International Journal of Numerical Methods in Engineering 33, No. 5 (1992) 1081–1105.

    Google Scholar 

  15. 15. J. Fish and S. Markolefas, ‘Adaptive s-method for linear elastostatics’, SCOREC report #1701991, Rensselaer Polytechnic Institute, Troy, NY. Also Comput. Methods in Applied Mechanical Engineering (1992) accepted.

  16. J.Fish, ‘Hierarchical modeling of discontinuous fields’, SCOREC report #8–1991, Rensselaer Polytechnic Institute, Troy, NY. Also Communications in Applied Numerical Methods 8 (1992) 443–453.

    Google Scholar 

  17. S.W. Tsai, Think Composites, Dayton, Ohio (1988).

  18. S.Parhizgar, L.W.Zachary and C.T.Sun, International Journal of Fracture 20 (1982) 3–15.

    Google Scholar 

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Fish, J., Fares, N. & Nath, A. Micromechanical elastic cracktip stresses in a fibrous composite. Int J Fract 60, 135–146 (1993). https://doi.org/10.1007/BF00012441

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  • DOI: https://doi.org/10.1007/BF00012441

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