Models were formulated for the dynamics of continua having microstructures and inhomogeneities. Attention was focussed on balance relationships and configurational fields, for such continua, as obtained via invariance. The Capriz approach to the formulation of continua with microstructures, as based upon the invariance of the internal power with respect to superposed rigid-body rotations, was extended to one which was based upon an Euclidean-frame indifference of the total energy balance. This was then combined with an extension to the work of Gurtin on the formulation of static configurational fields. The dependences of the configurational momentum density, configurational or Eshelby stress, and internal and external configurational momentum supply rate or configurational force densities, upon the corresponding microstructural fields, were thereby obtained. These could then be used to derive the forms of the balance relationships which were relevant to the case where the continuum contained defects at which the microstructure was discontinuous. As an application of the formulation, it was applied to the case of a continuum with a microstructure that contained a single defect.

Formulation of Balance Relations and Configurational Fields for Continua with Microstructure and Moving Point Defects via Invariance. B.Svendsen: International Journal of Solids and Structures, 2001, 38, 1183-200