Geodesic
Junction of elastic plates and beams
Gaudiello, Antonio1  ; Monneau, Régis  ; Mossino, Jacqueline  ; Murat, François ; Sili, Ali 
1 Università di Cassino, Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell’Informazione e Matematica Industriale, via G. Di Biasio 43, 03043 Cassino (FR), Italy;
ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 419-457

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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.

DOI : 10.1051/cocv:2007036
Classification : 35B40, 74B05, 74K30
Keywords: junctions, thin structures, plates, beams, linear elasticity, asymptotic analysis

Gaudiello, Antonio 1 ; Monneau, Régis  ; Mossino, Jacqueline  ; Murat, François  ; Sili, Ali 

1 Università di Cassino, Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell’Informazione e Matematica Industriale, via G. Di Biasio 43, 03043 Cassino (FR), Italy; 
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     title = {Junction of elastic plates and beams},
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Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali. Junction of elastic plates and beams. ESAIM: Control, Optimisation and Calculus of Variations, Tome 13 (2007) no. 3, pp. 419-457. doi: 10.1051/cocv:2007036

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