Junction of elastic plates and beams
ESAIM: Control, Optimisation and Calculus of Variations, Volume 13 (2007) no. 3, p. 419-457

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 $\epsilon$, and of a vertical beam with fixed height and small cross section of radius ${r}^{\epsilon }$. The lateral boundary of the plate and the top of the beam are assumed to be clamped. When $ϵ$ and ${r}^{\epsilon }$ tend to zero simultaneously, with ${r}^{\epsilon }\gg {ϵ}^{2}$, we identify the limit problem. This limit problem involves six junction conditions.

DOI : https://doi.org/10.1051/cocv:2007036
Classification:  35B40,  74B05,  74K30
Keywords: junctions, thin structures, plates, beams, linear elasticity, asymptotic analysis
@article{COCV_2007__13_3_419_0,
author = {Gaudiello, Antonio and Monneau, R\'egis and Mossino, Jacqueline and Murat, Fran\c cois and Sili, Ali},
title = {Junction of elastic plates and beams},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {13},
number = {3},
year = {2007},
pages = {419-457},
doi = {10.1051/cocv:2007036},
zbl = {1133.35322},
mrnumber = {2329170},
language = {en},
url = {http://www.numdam.org/item/COCV_2007__13_3_419_0}
}

Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali. Junction of elastic plates and beams. ESAIM: Control, Optimisation and Calculus of Variations, Volume 13 (2007) no. 3, pp. 419-457. doi : 10.1051/cocv:2007036. http://www.numdam.org/item/COCV_2007__13_3_419_0/

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