302 citations · 507 across the 14 of their papers we have counts for
5 papers · 1 filter
Bifurcations in the optimal elastic foundation for a buckling column
Daniel Rayneau-Kirkhope, Robert Farr, K. Ding +1
We investigate the buckling under compression of a slender beam with a distributed lateral elastic support, for which there is an associated cost. For a given cost, we study the op…
Estimate for the fractal dimension of the Apollonian gasket in d dimensions
R. S. Farr, E. Griffiths
We adapt a recent theory for the random close packing of polydisperse spheres in three dimensions [R. S. Farr and R. D. Groot, J. Chem. Phys. {\bf 131} 244104 (2009)] in order to p…
Fractal space frames and metamaterials for high mechanical efficiency
R. S. Farr, Y. Mao
A solid slender beam of length , made from a material of Young's modulus and subject to a gentle compressive force , requires a volume of material proportional to $L^{3}f…
Sintering behavior of two roughened crystals just after contact
R. S. Farr, M. J. Izzard
We consider two spherical, roughened crystals with approximately isotropic surface free energy which are brought into contact and begin to sinter. We argue that the geometry immedi…
Fractal design for an efficient shell strut under gentle compressive loading
R. S. Farr
Because of Euler buckling, a simple strut of length and Young modulus requires a volume of material proportional to in order to support a compressive force $F…