Asymptotic Behavior of Structures Made of Straight Rods
Source abstract
Abstract
This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness 2δ when δ tends to 0. This analysis relies on the decomposition of the large deformation of a single rod introduced in Blanchard and Griso (Anal. Appl. 7(1):21–71, 2009) 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 δ β (2<β≤4).
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Research context
OpenAlex topics: Advanced Mathematical Modeling in Engineering · Composite Material Mechanics · Advanced Numerical Methods in Computational Mathematics
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References (22)
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