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Axisymmetric Micromechanical Stress Fields in Composites

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Local Mechanics Concepts for Composite Material Systems

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

Using Reissner’s variational theorem in conjunction with an equilibrium stress field in which the r-dependence is assumed, we formulate an approximate model to define the thermoelastic response of a concentric cylindrical body under axisymmetric boundary conditions. The interfaces between continguous cylinders may be either continuous or subjected to mixed traction and displacement boundary conditions. The external surfaces may be subjected to mixed boundary conditions that are consistent with the model assumptions but otherwise arbitrary. The model is designed to analyze experiments such as pullout tests and also to represent the concentric cylinder model of a composite representative volume element and it contains the capability to enhance the accuracy of a given numerical solution. An illustrative thermal stress problem is solved and used to compare with an existing elasticity solution and to examine some of the details regarding sensitivity to model parameters.

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References

  1. J. Aveston, G. A. Cooper, and A. Kelly “Single and Multiple Fracture,” The Properties of Fibre Composites Conference Proceedings, National Physical Laboratory (1971).

    Google Scholar 

  2. J. Aveston and A. Kelly, “Theory of Multiple Fracture of Fibrous Composites.” J. Mater. Sci. & (1973).

    Google Scholar 

  3. B. Budiansky, J. W. Hutchinson, and A. G. Evans, “Matrix Fracture in Fiber-Reinforced Ceramics,” J. Mech. Phys. Solids, 34 (1986).

    Google Scholar 

  4. Z. Hashin and B. W. Rosen, “The Elastic Moduli of Fiber Reinforced Materials,” J. Appl. Mech. 31 (1964).

    Google Scholar 

  5. N. J. Pagano and G. P. Tandon, “Elastic Response of Multi-directional Coated-Fiber Composites,” Comp. Sci. Tech. 31 (1988).

    Google Scholar 

  6. E. Sternberg, “Load-Transfer and Load-Diffusion in Elastostatics,” Proceedings of the Sixth U.S. National Congress of Applied Mechanics, The American Society of Mechanical Engineers, New York (1970).

    Google Scholar 

  7. V. K. Luk and L. M. Keer, “Stress Analysis for an Elastic Half Space Containing an Axially-Loaded Rigid Cylindrical Rod,” Int. J. Solids Structures 15 (1979).

    Google Scholar 

  8. G. Pickett and M. W. Johnson, “Analytical Procedures for Predicting the Mechanical Properties of Fiber Reinforced Composites,” Technical Report AFML-TR-65-220 (1967).

    Google Scholar 

  9. G. E. Smith and A. J. M. Spencer, “Interfacial Tractions in a Fibre-Reinforced Elastic Composite Material,” J. Mech. Phys. Solids 18 (1970).

    Google Scholar 

  10. A. R. Zak, “Stresses in the Vicinity of Boundary Discontinuities in Bodies of Revolution,” J. Appl. Mech. 31 (1964).

    Google Scholar 

  11. C. Atkinson, J. Avila, E. Betz, and R. E. Smelser, “The Rod Pull Out Problem, Theory and Experiment,” J. Mech. Phys. Solids 30 (1982).

    Google Scholar 

  12. L. N. McCartney, “New Theoretical Model of Stress Transfer Between Fibre and Matrix in a Uniaxially Fibre-Reinforced Composite.” Proc. Roy. Soc. London A425 (1990).

    Google Scholar 

  13. R. D. Kurtz and N. J. Pagano, “Analysis of the Deformation of a Symmetrically Loaded Fiber Embedded in a Matrix Material,” Engr Composites 1 (1991).

    Google Scholar 

  14. H. L. Cox, “The Elasticity and Strength of Paper and Other Fibrous Materials,” British J. Appl. Phys. 3 (1952).

    Google Scholar 

  15. Y. C. Gao, “Damage Modelling of Fiber Reinforced Composites,” Theo. and Appl. Fracture Mech. 11 (1989).

    Google Scholar 

  16. E. Reissner, “On a Variational Theorem in Elasticity,” J. Math. Phys. 22 (1950).

    Google Scholar 

  17. N. J. Pagano, “Stress Fields in Composite Laminates,” Int. J. Solids, Sturctures 14 (1978).

    Google Scholar 

  18. N. J. Pagano, “Axisymmetric Stress Fields in Involute Bodies of Revolution,” J. Spacecraft and Rockets 23 (1986).

    Google Scholar 

  19. J. M. Whitney and R. J. Nuismer, “Stress Fracture Criteria for Laminated Composites Containing Stress Concentrations,” J. Comp. Mat. 8 (1974).

    Google Scholar 

  20. R. Y. Kim, “Experimental Observations of Free-Edge Delamination,” Interlaminar Response of Composite Materials, Ed. N. J. Pagano, Elsevier (1989).

    Google Scholar 

  21. L. T. Drzal, “Composite Interphase Characterization,” SAMPE J. 19 (1983).

    Google Scholar 

  22. H. W. Brown, to be published.

    Google Scholar 

  23. N. J. Pagano, “Refined Solutions for the Elastic Response of Involute Bodies,” Comp. Sci. Tech. 25 (1986).

    Google Scholar 

  24. A. S. D. Wang, personal communication.

    Google Scholar 

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© 1992 Springer-Verlag, Berlin Heidelberg

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Pagano, N.J. (1992). Axisymmetric Micromechanical Stress Fields in Composites. In: Reddy, J.N., Reifsnider, K.L. (eds) Local Mechanics Concepts for Composite Material Systems. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84792-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-84792-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84794-3

  • Online ISBN: 978-3-642-84792-9

  • eBook Packages: Springer Book Archive

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