Stress gradient elasticity theory : existence and uniqueness of solution

International audienceThe objective of the present article is to assess the well-posedness of the stress gradient linear elastic problems recently introduced by Forest and Sab (Mech. Res. Commun. 40:16–25, 2012) and to formulate the corresponding existence and uniqueness theorems. In particular, we show that such theorems can be established in the case of the boundary value problems formulated in (Forest and Sab in Mech. Res. Commun. 40:16–25, 2012) with the corresponding boundary conditions