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Fractal design for an efficient shell strut under gentle compressive loading

Fractal design for an efficient shell strut under gentle compressive loading

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 $f=F∕Y{L}^{2}$ and $f⪡1$. By taking into account both Euler and local buckling, we provide a hierarchical design for such …