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A comparative study of fiber-matrix interactions by using micromechanical models

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Mechanics of Composite Materials Aims and scope

An Erratum to this article was published on 01 September 2008

Abstract

The purpose of this study is to describe the interfacial interactions in terms of stress distributions on short fibers in fiber-matrix unit-cell models. The fiber and matrix are subjected to tensile loading. The study consists of three main parts. First, fiber-matrix cell segments are modeled using a 3D finite-element analysis (FEA) with ANSYS. Three different finite-element geometrical unit-cell models are generated in order to simulate the Cox analytical model: a fiber-matrix combination, a single fiber, and a single matrix element. The second part contains the results of 3D FE analyses, which are applied to the Cox formulations by using a computer program developed. In the last part, the analytical solutions for distributions of normal and shear stresses are investigated. Cox 2D linear elasticity solutions, together with finite-element ones, are presented in detail in graphs. The interfacial interactions between the fibers and matrix are also discussed considering the relative changes in the distributions of normal and shear stresses.

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References

  1. H. L. Cox, “The elasticity and strength of paper and fibrous materials,” Brit. J. Appl. Phys., 3, 72–79 (1952).

    Article  Google Scholar 

  2. F. J. Mc Garry and M. Fujiwara, “Resin-fiber load transfer in reinforced plastics,” Modern Plastics — Technical Section, 143–167 (1968).

  3. M. R. Piggott, “Interface properties and their influence on fiber-reinforced polymers,” in: Composite Applications the Rule of Matrix Fiber and Interface, New York (1992).

  4. B. A. Bednardcyk and S. M. Arnold, “Micromechanics-based deformation and failure prediction for longitudinally reinforced titanium composites,” Compos. Sci. Technol., 61, 705–729 (2001).

    Article  Google Scholar 

  5. J. K. Wells, Ph.D Thesis, Cambridge University (1982).

  6. A. Takaku and R. G. C. Arridge, “The effect of interfacial radial and shear stress on fiber pull-out in composite materials,” J. Phys. D: Appl. Phys., 6, 2038–2047 (1973).

    Article  CAS  Google Scholar 

  7. P. Lawrence, “Some theoretical considerations of fiber pull-out from an elastic matrix,” J. Mater. Sci., 7, 1–6 (1972).

    Article  CAS  Google Scholar 

  8. S. J. Hwang and R. F. Gibson, “Micromechanical modeling of damping in discontinuous fiber composites using a strain energy/finite element approach,” J. Eng. Mater. Technol., 109, 47–52 (1987).

    Google Scholar 

  9. M. Paley and J. Aboudi, “Micromechanical analysis of composites by the generalized cell model,” Mech. Mater., 14, 127–139 (1992).

    Article  Google Scholar 

  10. S. Ghosh, K. Lee, and S. Moorthy, “Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model,” Comput. Meth. Appl. Mech. Eng., 132, 63–116 (1996).

    Article  Google Scholar 

  11. R. Yosomiya, K. Morimoto, A. Nakajima, Y. Ikada, and T. Suzuki, “Interface analyses of composite materials,” in: Adhesion and Bonding in Composites. Marcel Dekker Inc., New York (1990).

    Google Scholar 

  12. B. L. Lessard and F. K. Chang, “Effect of load distribution on the fiber buckling strength of unidirectional composites,” J. Compos. Mater., 25, 65–87 (1991).

    Google Scholar 

  13. M. Narkis and E. J. H. Chen, “Review of methods for characterization of interfacial fiber-matrix interactions,” Polym. Compos., 9, No. 4, 245–251 (1988).

    Article  CAS  Google Scholar 

  14. N. G. McCrum, C. P. Buckley, and C. B. Bucknall, “Reinforced polymers,” in: Principles of Polymer Engineering. Oxford University, New York Press (1997).

  15. A. Kelly and W. R. Tyson, “Tensile properties of fiber reinforced metals: copper/tungsten and copper/molybdenum,” J. Mech. Phys. Solids, 13, 329–350 (1965).

    Article  CAS  Google Scholar 

  16. R. F. Gibson, S. K. Chaturvedi, and C. T. Sun, “Complex moduli of aligned discontinuous fiber reinforced polymer composites,” J. Mater. Sci., 17, 3499–3509 (1982).

    Article  CAS  Google Scholar 

  17. B. W. Rosen, “Mechanics of composite strengthening” in: Fiber Composite Materials, American Society for Metals, Metals Park O.H. (1965), pp. 37–75.

    Google Scholar 

  18. S. Suarez, R. F. Gibson, C. T. Sun, and S. K. Chaturvedi, “The influence of fiber length and fiber orientation on damping and stiffness of polymer composite materials,” Experim. Mech., 26, No. 2, 175–184 (1986).

    Article  Google Scholar 

  19. S. J. Hwang, Finite Element Modeling of Damping in Discontinuous Fiber Composites, M.Sc. Thesis, University of Idaho, Moscow ID (1985).

    Google Scholar 

  20. S. J. Hwang and R. F. Gibson, “Micromechanical modeling of damping in discontinuous fiber composites using a strain energy/finite element approach,” J. Eng. Mater. Technol., 109, 47–52 (1987).

    Article  Google Scholar 

  21. C. T. Sun and J. K. Wu, “Stress distributions of aligned short fiber composites under axial load,” J. Reinf. Plast. Compos., 3, 130–144 (1984).

    Article  Google Scholar 

  22. R. F. Gibson, “Analysis of a discontinuous fiber-reinforced lamina,” in: Principles of Composite Material Mechanics, McGraw-Hill Inc., Singapore (1994).

    Google Scholar 

  23. D. H. Pahr and S. M. Arnold, “The applicability of the generalized method of cells for analyzing discontinuously reinforced composites,” Composites, Pt. B, 33, 153–170 (2002).

    Article  Google Scholar 

  24. Z. Ece, Analytical Solution and Finite Element Analysis of the Fiber Matrix Interactions in Fiber Composite Materials, M.Sc. Thesis, The Institute of Science and Technology of Gazi University, Ankara, Turkey (2003).

    Google Scholar 

  25. ANSYS, User Manual, ANSYS Release 8.1 (2002).

  26. S. P. Timoshenko and J. N. Goodier, “Axisymmetric stress and deformation in a solid of revolution,” in: Theory of Elasticity, McGraw-Hill International Editions, Singapore (1970).

    Google Scholar 

  27. F. B. Hildebrand, “Series solutions of differential equations,” in: Advanced Calculus for Applications, Prentice Hall Inc., New Jersey (1976).

    Google Scholar 

  28. M. V. Barton and N. Y. Ithaca, “The circular cylinder with a band of uniform pressure on a finite length,” J. Appl. Mech., A97–A104 (1941).

  29. M. L. James, G. M. Smith, and J. C. Wolford, “Numerical integration and differentiation,” in: Applied Numerical Methods for Digital Computation with FOR TRAN and CSMP, Harper&Row Publishers, New York (1977).

    Google Scholar 

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Authors and Affiliations

  1. Departement of Mechanical Engineering, University of Gazi, 06570, Maltepe, Ankara, Turkey

    E. Günay

  2. General Directorate of State Hydraulic Works Equipment and Supply Division, 06100, Ankara, Turkey

    Z. Ece

  3. Scientific and Technical Research Council of Turkey, 06261, Ankara, Turkey

    M. A. Esi

Authors
  1. E. Günay
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  2. Z. Ece
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  3. M. A. Esi
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Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 4, pp. 505–520, July–August, 2008.

An erratum to this article is available at http://dx.doi.org/10.1007/s11029-008-9037-6.

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Günay, E., Ece, Z. & Esi, M.A. A comparative study of fiber-matrix interactions by using micromechanical models. Mech Compos Mater 44, 349–360 (2008). https://doi.org/10.1007/s11029-008-9027-8

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  • DOI: https://doi.org/10.1007/s11029-008-9027-8

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