Junction between a plate and a rod of comparable thickness in nonlinear elasticity

Details Junction between a plate and a rod of comparable thickness in nonlinear elasticity Junction between a plate and a rod of comparable thickness in nonlinear elasticity

2012-03-11

arxiv.org/abs/1203.2367v1

Mathematics

Numerical Analysis

arXiv admin note: text overlap with arXiv:1107.5283

Scientific paper

We analyze the asymptotic behavior of a junction problem between a plate and
a perpendicular rod made of a nonlinear elastic material. The two parts of this
multi-structure have small thicknesses of the same order $\delta$. We use the
decomposition techniques obtained for the large deformations and the
displacements in order to derive the limit energy as $\delta$ tends to 0.

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