The obstacle problem for shallow shells in curvilinear coordinates [Le problème d'obstacle en coordonnées curvilignes pour des coques peu profondes]

摘要

Starting from the 3D Signorini problem in presence of a plane obstacle, we justify the limit inequation of unilateral contact posed in a 2D domain. In particular, we show that we can uncouple the three covariant components of the limit Kirchhoff-Love displacement field so that the non-penetrability condition involves only the "transverse" component as this is the case in Cartesian framework.