A composite material, made up of linearly elastic inclusions and matrix, is considered. The two components are held together by viscous coupling. We show that the effective properties of this medium can be obtained using homogenization techniques. The resulting homogenized material is anisotropic in elasticities as well as in dissipation. For the special case of a laminated composite, we can state the effective constitutive law explicitly. The anisotropies in the dissipation arc studied in detail.
Bibliographical noteFunding Information:
* Research partly supported by ONR contract N-OOOI4-85-K0725 t Research partly supported by ONR contract N-OOOI4-85-K0725 and NSF grant DMS-860314.