Modeling of the junction between a plate and a rod in nonlinear elasticity

Article type: Research Article

Authors: Gruais, Isabelle

Affiliations: UFR Mathématiques de la Décision, Université Paris IX – Dauphine, Place de Lattre de Tassigny, 75016 Paris, France

Note: [] This work is part of the Project “Junctions in Elastic Multi-Structures” of the Program “S.C.I.E.N.C.E.” of the Commission of the European Communities (contract No. SC1*0473-C(EDB)).

Abstract: The asymptotic expansions method is used to study the limit behaviour of a system made of a plate of small thickness 2ε in which one partly inserted a rod of cross section equal to 4ε2. When the free extremity of the rod is clamped and when the materials are nonlinearly elastic, it turns out that the transverse displacement of the rod around the junction is “almost” rigid. Moreover, the plate, which is somehow held by the rod, has a torsion equal to zero around the junction, which makes impossible any free rotation around the axis of the rod.

DOI: 10.3233/ASY-1993-7302

Journal: Asymptotic Analysis, vol. 7, no. 3, pp. 179-194, 1993