Constraints on effective constitutive parameters of certain bianisotropic laminated composite materials

TL;DR

This paper derives constraints on the constitutive parameters of laminated bianisotropic composites, showing how homogenization imposes specific relationships among parameters under certain simplifying assumptions.

Contribution

It introduces simple constraints on the constitutive parameters of laminated bianisotropic materials when the unit cell is electrically thin and constituent properties are decoupled.

Findings

Constraints relate the constitutive parameters of the composite.

Homogenization imposes specific parameter relationships.

Constraints may not hold if constituent properties are more complex.

Abstract

When the electrically thin unit cell of a laminated composite material is made of two bianisotropic sheets whose constitutive properties in the thickness direction are decoupled from the constitutive properties in the interfacial planes, the laminated composite material can be homogenized into a material not all of whose constitutive parameters are independent of each other. This non-independence of the constitutive dyadics of the constituent materials and the homogenized composite material is captured by two simple constraints, which may not hold if even one of the two constituent materials has more complicated constitutive properties than stated above.