When defining the properties required for a homogeneous medium to be the static equivalent of a layered heterogeneous medium the following conditions are sufficient to uniquely define the homogeneous medium.

- Identical thickness (volume).
- Identical mass.
- Either one of the following two equivalent conditions
- 1.
- Identical thickness integral of discontinuous stress and strain components.
- 2.
- Identical thickness (volume) integral of elastic energy.

1/13/1998