Jumping nonlinearities and mathematical models of suspension bridge
Junction of elastic plates and beams
We consider the linearized elasticity system in a multidomain of . 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 . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When ε and tend to zero simultaneously, with , we identify the limit problem. This limit problem involves six junction conditions.
Justification de modèles de plaques non linéaires pour des lois de comportement générales
Justification d'un modèle linéaire bi-dimensionnel de coques «faiblement courbées» en coordonnées curvilignes