Modélisation de la jonction entre un corps élastique tridimensionnel et une plaque. (Modeling of the junction between a three-dimensional elastic body and a plate). (French) Zbl 0632.73015

The paper proves a theorem which shows that the solution of a three- dimensional problem of linear elasticity-posed on a domain consisting of (i) a plate of thickness \(2\epsilon\), the Lamé constants of its material varying as \(\epsilon^{-3}\); and (ii) a solid whose Lamé constants are independent of \(\epsilon\)- converges with \(\epsilon\) approaching 0 to the solution of a variational problem posed simultaneously on a three-dimensional open set with a slot and a two- dimensional open set.
Reviewer: S.K.Lakshmana Rao


74S30 Other numerical methods in solid mechanics (MSC2010)
74B20 Nonlinear elasticity
74K20 Plates