## 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

### MSC:

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