Asymptotic behavior of structures made of straight rods

Details Asymptotic behavior of structures made of straight rods Asymptotic behavior of structures made of straight rods

2010-10-18

arxiv.org/abs/1010.3614v1

Mathematics

Analysis of PDEs

Scientific paper

This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness $2\delta$ when $\delta$ tends to 0. This analysis relies on the decomposition of the large deformation of a single rod introduced in [6] and on the extension of this technique to a multi-structure. We characterize the asymptotic behavior of the infimum of the total elastic energy as the minimum of a limit functional for an energy of order $\delta^\beta$ ($2<\beta\le 4$).

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