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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 282))

Abstract

We shall discuss a number of problems concerned with stress and deformation analysis of fibre-reinforced composite, and other strongly anisotropic, materials. The kind of composite material in mind is one in which a matrix material is reinforced by strong stiff fibres which are systematically arranged in the matrix. The fibres are considered to be long compared to their diameters and the fibre spacings, and to be quite densely distributed, so that the fibres form a substantial proportion (typically about 50% by volume) of the composite. There are many such composite materials now in use or under development; examples are carbon fibre reinforced epoxy resins, boron fibre reinforced aluminium, and nylon or steel reinforced rubber which is used in tyres, hosepipes and belts.

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References

  1. SPENCER, A.J.M., Theory of invariants, in Continuum Physics, Vol.1 Eringen, A.C., Ed., Academic Press, New York (1971) 239253

    Google Scholar 

  2. SPENCER, A.J.M., The formulation of constitutive equations for anisotropic solids, in Comportement mécanique des solides anisotropes (Colloques internationaux du C.N.R.S. No.295), Boehler, J-P. and Sawczuk, A., Eds., Editions Scientifiques du C.N.R.S., Paris (1982) 3–26

    Google Scholar 

  3. MARKHAM, M.F., Composites 1 (1970) 145–149

    Article  Google Scholar 

  4. SPENCER, A.J.M., Continuum Mechanics, Longman, London, 1980

    MATH  Google Scholar 

  5. ERICKSEN, J.E. and RIVLIN, R.S., J. Rat. Mech. Anal. 3 (1954) 281–301

    MATH  MathSciNet  Google Scholar 

  6. SMITH, G.F. and RIVLIN, R.S., Trans. Amer. Math. Soc. 88 (1958) 175–193

    Article  MATH  MathSciNet  Google Scholar 

  7. GREEN, A.E. and ADKINS, J.E., Large Elastic Deformations, Clarendon Press, Oxford, 1960

    MATH  Google Scholar 

  8. LANCE, R.H. and ROBINSON, D.N., J. Mech. Phys. Solids 19 (1971) 49–60

    Article  ADS  Google Scholar 

Additional bibliography

  • PIPKIN, A.C., Finite deformations of ideal fiber-reinforced composites, in Composite Materials, Vol.2, Sendeckyj, G.P., Ed., Academic Press, New York (1973) 251–308

    Google Scholar 

  • PIPKIN, A.C., Advances in Applied Mechanics 19 (1979) 1–51

    Article  MATH  Google Scholar 

  • ROGERS, T.G., Anisotropic elastic and plastic materials, in Continuum Mechanics Aspects of Geodynamits and Rock Fracture Mechanics, Thoft-Christensen, P., Ed., Reidel, Dordrecht (1975) 177–200

    Google Scholar 

  • ROGERS, T.G., Finite deformations of strongly anisotropic materials, in Theoretical Rheology, Hutton, J.F., Pearson, J.R.A. and Walters, K., Eds., Applied Science Publishers, London (1975) 141–168

    Google Scholar 

  • SPENCER, A.J.M., Deformations of Fibre-reinforced Materials, Clarendon. Press, Oxford, 1972

    Google Scholar 

  • SPENCER, A.J.M., The formulation of constitutive equations in continuum models of fibre-reinforced composites, in Proceedings of the Third Symposium on Continuum Models of Discrete Systems, Krôner, E. and Anthony, K-H., Eds., University of Waterloo Press (1980) 479–489

    Google Scholar 

  • SPENCER, A.J.M., Continuum models of fibre-reinforced materials, in Proceedings of the International Symposium on the Mechanical Behaviour of Structured Media, Selvadurai, A.P.S., Ed., Elsevier, Amsterdam (1981) 1–26

    Google Scholar 

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© 1984 Springer-Verlag Wien

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Spencer, A.J.M. (1984). Constitutive Theory for Strongly Anisotropic Solids. In: Spencer, A.J.M. (eds) Continuum Theory of the Mechanics of Fibre-Reinforced Composites. International Centre for Mechanical Sciences, vol 282. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4336-0_1

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  • DOI: https://doi.org/10.1007/978-3-7091-4336-0_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81842-8

  • Online ISBN: 978-3-7091-4336-0

  • eBook Packages: Springer Book Archive

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