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Predicting the overall properties of composite materials with small-scale inclusions or cracks

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Abstract

This paper will summarise the present state of knowledge concerning the elastic and dissipative properties of composite materials in the long wavelength or static approximation. In this case the material, although containing numerous inclusions or cracks or other types of microstructure, can be regarded as a continuum. Established results are listed for the elastic parameters following a review of approximate and exact methods of their derivation.

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Author notes

  1. L. Knopoff

    Present address: Cavendish Laboratory, Cambridge, UK

Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK

    J. A. Hudson

  2. Institute of Geophysics and Planetary Physics, University of California, Los Angeles, USA

    L. Knopoff

Authors
  1. J. A. Hudson
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  2. L. Knopoff
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Hudson, J.A., Knopoff, L. Predicting the overall properties of composite materials with small-scale inclusions or cracks. PAGEOPH 131, 551–576 (1989). https://doi.org/10.1007/BF00876264

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  • DOI: https://doi.org/10.1007/BF00876264

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