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Journal of Materials Science

, Volume 28, Issue 7, pp 1963–1972 | Cite as

Modelling of the viscoelastic behaviour of amorphous thermoplastic/glass beads composites based on the evaluation of the complex Poisson's ratio of the polymer matrix

  • A. Agbossou
  • A. Bergeret
  • K. Benzarti
  • N. Alberola
Papers

Abstract

A series of polystyrene/glass beads composites were studied by using dynamic mechanical spectrometry. From experimental data obtained under isothermal conditions, a simulation method of viscoelastic behaviour of amorphous thermoplastics reinforced by glass beads was devised. Such a theoretical approach confirmed the requirement of considering the Poisson's ratio as a complex component over all the temperature range. This could be related to the difference of many powers of ten between the moduli of the two phases. Thus, we suggest in this paper a method to evaluate the complex Poisson's ratio of the matrix. From these results, the influence of filler content on the magnitude of the mechanical relaxation related to the glass transition is taken into account.

Keywords

Polymer Experimental Data Glass Transition Polymer Matrix Theoretical Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

r, θ, Ψ

Spherical polar coordinates

σij

Stress components

Ur,Uθ,Uψ

Displacement components

λ,G,v,K,E

Elastic properties: Lamé constant, shear modulus, Poisson's ratio, bulk modulus and Young's modulus, respectively

c, m, i

Subscripts referring, respectively, to composite material, matrix phase, spherical inclusion phase

a

Radius at spherical inclusion to matrix interface

b

Radius at matrix to equivalent homogeneous medium interface

vj orv

Volume fraction of inclusions

VL,VT

Longitudinal and transverse velocities

ρ

Mass density of the material

p

Hydrostatic stress

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Copyright information

© Chapman & Hall 1993

Authors and Affiliations

  • A. Agbossou
    • 1
  • A. Bergeret
    • 1
  • K. Benzarti
    • 1
  • N. Alberola
    • 1
  1. 1.Laboratoire Matériaux Composites, ESIGECUniversité de SavoieChambéry CedexFrance

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