  In this paper, a discontinuous Galerkin finite element method of Nitsche's
version for the Steklov eigenvalue problem in linear elasticity is presented.
The a priori error estimates are analyzed under a low regularity condition, and
the robustness with respect to nearly incompressible materials (locking-free)
is proven. Furthermore, some numerical experiments are reported to show the
effectiveness and robustness of the proposed method.
