Fractal design for efficient brittle plates under gentle pressure loading

Details Fractal design for efficient brittle plates under gentle pressure loading Fractal design for efficient brittle plates under gentle pressure loading

2009-12-17

arxiv.org/abs/0912.3383v1

Phys. Rev. E 76, 046601 (2007)

Physics

Classical Physics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevE.76.046601

We consider a plate made from an isotropic but brittle elastic material, which is used to span a rigid aperture, across which a small pressure difference is applied. The problem we address is to find the structure which uses the least amount of material without breaking. Under a simple set of physical approximations and for a certain region of the pressure-brittleness parameter space, we find that a fractal structure in which the plate consists of thicker spars supporting thinner spars in an hierarchical arrangement gives a design of high mechanical efficiency.

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