A note on dependence of the inertia tensor on the strain measures

The paper focuses on the dependence of the micro-inertia tensor on continuum deformations. Modeling of the micropolar medium is based on the spatial description that opens the possibility to model situations and materials with a continuum point that on the microscale consists no longer of the same elementary units during a physical process. The tensor of inertia of the polar particle is obtained by averaging the inertia tensors of microparticles within a representative volume. Because of the medium deformation, the representative volume contains different micro-particles as the medium moves, and the inertia tensor of the volume will change due to the incoming or outgoing flux of inertia. A possibility of dependence of the tensor of inertia on the strain measures is demonstrated, and suitable forms of the dependence are suggested.