Integral representations for a nonhomogeneous region in couple stress theory of elasticity

In an infinite space a Cosserat medium (with forced rotations) is subjected to a singular concentrated force. The medium is nonhomogeneous and consist of two regular regions where the elastic constants differ. Formulas are derived for the displacements in both the internal and the external region. With the help of this Green's function matrix integral representations are derived for the displacements.