Fractal design for an efficient shell strut under gentle compressive loading

Details Fractal design for an efficient shell strut under gentle compressive loading Fractal design for an efficient shell strut under gentle compressive loading

2010-01-20

arxiv.org/abs/1001.3532v1

Physical Review E 76, 056608 (2007)

Physics

Classical Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevE.76.056608

Because of Euler buckling, a simple strut of length $L$ and Young modulus $Y$ requires a volume of material proportional to $L^3 f^{1/2}$ in order to support a compressive force $F$, where $f=F/YL^2$ and $f\ll 1$. By taking into account both Euler and local buckling, we provide a hierarchical design for such a strut consisting of intersecting curved shells, which requires a volume of material proportional to the much smaller quantity $L^3 f\exp[2\sqrt{(\ln 3)(\ln f^{-1})}]$.

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