In this paper, we consider a mathematical model of a metallic implant in an auxetic substrate (e.g., a bone). The implant is considered to be rigid undeformable element and the substrate is modeled by a half-space, made of isotropic, auxetic material. We consider a case when a flat ended rigid circular cylinder indents the plane surface of an elastic solid normally to the surface and thereafter is turned through a small angle by an external moment acting on a cylinder. The resulting stresses, due to indentation displacement and rotation, are shown in a graphical form for both auxetic and non-auxetic for comparison.

indentation, auxetic and non-auxetic behavior, negative Poisson�s ratio, stress distribution.