Junction between a plate and a rod of comparable thickness in nonlinear elasticity. Part II
arXiv:1203.2367h-index: 24
Originality Synthesis-oriented
AI Analysis
Provides a mathematical framework for junctions in multi-structures, relevant for engineers modeling thin elastic structures.
The paper analyzes the asymptotic behavior of a junction between a plate and a rod of comparable thickness in nonlinear elasticity, deriving the limit energy as thickness tends to zero.
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 $δ$. We use the decomposition techniques obtained for the large deformations and the displacements in order to derive the limit energy as $δ$ tends to 0.