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Averaging of Elastic and Shrinkage Properties for Viscoelastic Composites

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Progress and Trends in Rheology V
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Abstract

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.

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References

  • Sanchez-Palencia E. (1980) Non Homogeneous Media and Vibration Theory, Springer-Verlag Berlin/York.

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© 1998 Springer-Verlag Berlin Heidelberg

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Orlik, J. (1998). Averaging of Elastic and Shrinkage Properties for Viscoelastic Composites. In: Emri, I. (eds) Progress and Trends in Rheology V. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-642-51062-5_212

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  • DOI: https://doi.org/10.1007/978-3-642-51062-5_212

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-642-51064-9

  • Online ISBN: 978-3-642-51062-5

  • eBook Packages: Springer Book Archive

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