181 citations · 1.7k across the 89 of their papers we have counts for
11 papers · 1 filter
On ideal dynamic climbing ropes
Davit Harutyunyan, Graeme W. Milton, Trevor J. Dick +1
We consider the rope climber fall problem in two different settings. The simplest formulation of the problem is when the climber falls from a given altitude and is attached to one…
Analytic Materials
Graeme W. Milton
The theory of inhomogeneous analytic materials is developed. These are materials where the coefficients entering the equations involve analytic functions. Three types of analytic m…
Field Patterns: A New Mathematical Object
Graeme W. Milton, Ornella Mattei
Field patterns occur in space-time microstructures such that a disturbance propagating along a characteristic line does not evolve into a cascade of disturbances, but rather concen…
Bounds on Herglotz functions and fundamental limits of broadband passive quasi-static cloaking
Maxence Cassier, Graeme W. Milton
Using a sum rule, we derive new bounds on Herglotz functions that generalize those given in (Gustafson and Sjöberg 2010) and (Bernland, Luger and Gustafson 2011). These bounds appl…
Towards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase
Graeme W. Milton, Davit Harutyunyan, Marc Briane
The set of possible effective elastic tensors of composites built from two materials with positive definite elasticity tensors $\BC_1$ and $\BC_2=\Gd\BC_0$ comprising the se…
On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials
Graeme W. Milton, Marc Briane, Davit Harutyunyan
The set of possible effective elastic tensors of composites built from two materials with elasticity tensors $\BC_1>0$ and $\BC_2=0$ comprising the set $U=\{\BC_1,\BC_2\}$ a…