Junction of elastic plates and beams (Preliminary version)

Antonio Gaudiello (1) , Régis Monneau (2) , Jacqueline Mossino (3) , François Murat (4) , Ali Sili (5)

1 Dipartimento di Automazione - Dipartimento di Automazione
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique
3 CMLA - Centre de Mathématiques et de Leurs Applications
4 LJLL - Laboratoire Jacques-Louis Lions
5 Département de Mathématiques [La Garde]

We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and small thickness "h", and of a vertical beam with fixed height and small cross section of radius "r". The lateral boundary of the plate and the top of the beam are assumed to be clamped. When "h" and "r" tend to zero simultaneously, with "r" much greater than the square of "h", we identify the limit problem. This limit problem involves six junction conditions.

Mots clés: asymptotic analysis; linearized elasticity system; junction of plates and beams

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Antonio Gaudiello, Régis Monneau, Jacqueline Mossino, François Murat, Ali Sili. Junction of elastic plates and beams (Preliminary version). 2003. ⟨hal-00000569⟩