Derivation of a generalized continuum theory for heterogeneous materials
Abstract
A macroscopic continuum theory is derived starting from the microstructure of a heterogeneous (composite) material by means of ensemble averaging. Besides the mean field, it contains additional degrees of freedom, called multipole fields. It is shown that as a matter of principle, a local theory of that kind, described by differential equations, cannot be acheived up to an arbitrarily high accuracy, but is restricted to the long wave range.
- Publication:
-
Polish Academy of Science Arch Mech
- Pub Date:
- 1976
- Bibcode:
- 1976PASAM......325D
- Keywords:
-
- Composite Materials;
- Continuum Mechanics;
- Degrees Of Freedom;
- Multipolar Fields;
- Partial Differential Equations;
- Reinforcing Fibers;
- Solid-State Physics