Uniqueness in asymmetric elastostatics (Q2265846)

The purpose of this paper is to prove two uniqueness theorems in micropolar elastostatics involving unbounded bodies, under mild hypotheses on the behaviour at infinity of the displacement and the spin fields. The mixed boundary-value problem is first considered for nonhomogeneous and anisotropic bodies whose elastic tensors are positive definite. A uniqueness theorem for the displacement boundary value problem is then achieved for the case where the body occupies a star- shaped region and the elastic tensors are strongly elliptic.