Mechanics of elastic networks.

  title={Mechanics of elastic networks.},
  author={Andrew N. Norris},
  journal={Proceedings. Mathematical, physical, and engineering sciences},
  volume={470 2172},
We consider a periodic lattice structure in d=2 or 3 dimensions with unit cell comprising Z thin elastic members emanating from a similarly situated central node. A general theoretical approach provides an algebraic formula for the effective elasticity of such frameworks. The method yields the effective cubic elastic constants for three-dimensional space-filling lattices with Z=4, 6, 8, 12 and 14, the last being the 'stiffest' lattice proposed by Gurtner & Durand (Gurtner & Durand 2014 Proc. R… CONTINUE READING