On the junction of elastic plates and beams
Antonio Gaudiello, Régis Monneau, Jacqueline Mossino, François Murat, Ali Sili · Comptes Rendus Mathématique · 2002
We consider the linearized elasticity system in a multidomain of R 3 . This multidomain is the union of a horizontal plate with fixed cross section and small thickness ε , and of a vertical beam with fixed height and small cross section of radius r ε . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When ε and r ε tend to zero simultaneously, with r ε ⪢ ε 2 , we identify the limit problem. This limit problem involves six junction conditions.