Averaging of Elastic and Shrinkage Properties for Viscoelastic Composites
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 ,  have dealt with viscoelasticity of a rather particular differential form.