Averaging of Elastic and Shrinkage Properties for Viscoelastic Composites

  • J. Orlik
Conference paper


A multi-phase composite with periodically distributed smooth inclusions is considered. The composite components are linear viscoelastic and aging (of the non-convolution integral Volterra type) and are subjected to isotropic shrinkage. The shrinkage deformation can be associated with a fictitious thermoelastic deformation in the constitutive law. An averaging procedure is presented enabling to obtain effective (homogenized) viscoelastic and shrinkage (thermoelastic) properties of the composite and the homogenized stress - field from known properties of the components. Known homogenization results given by [1], [2] have dealt with viscoelasticity of a rather particular differential form.


Composite Component Asymptotical Homogenization Shrinkage Property Homogene Initial Condition Shrinkage Deformation 
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  1. Sanchez-Palencia E. (1980) Non Homogeneous Media and Vibration Theory, Springer-Verlag Berlin/York.MATHGoogle Scholar
  2. Francfort G.A. et al. (1986) Homogenization and Mechanical Dissipation in Thermoviscoelasticity, Arch. for Rat. Mech. and An., vol. 96, no.3. p.265–93.MathSciNetADSMATHGoogle Scholar
  3. S.E. Mikhailov (1998) On some weighted Hardy type classes.., J. of Math. An. and Appl. vol. 222, p. 374–396.MATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • J. Orlik
    • 1
  1. 1.Institut of Technical and Industrial Mathematics (ITWM)KaiserslauternGermany

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