64 citations · 146 across the 27 of their papers we have counts for
8 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…
When the Cauchy inequality becomes a formula
Davit Harutyunyan
In this note we revisit the classical geometric-arithmetic mean inequality and find a formula for the difference of the arithmetic and the geometric means of given …
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…
Gaussian curvature as an identifier of shell rigidity
Davit Harutyunyan
In the paper we deal with shells with non-zero Gaussian curvature. We derive sharp Korn's first (linear geometric rigidity estimate) and second inequalities on that kind of shells…
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…
Quantitative anisotropic isoperimetric and Brunn-Minkowski inequalities for convex sets with improved defect estimates
Davit Harutyunyan
In this paper we revisit the anisotropic isoperimetric and the Brunn-Minkowski inequalities for convex sets. The best known constant depending on the space dimension…
Korn inequalities for shells with zero Gaussian curvature
Yury Grabovsky, Davit Harutyunyan
We consider shells with zero Gaussian curvature, namely shells with one principal curvature zero and the other one having a constant sign. Our particular interests are shells that…
High frequency homogenization for travelling waves in periodic media
Davit Harutyunyan, Richard V. Craster, Graeme W. Milton
We consider high frequency homogenization in periodic media for travelling waves of several different equations: the wave equation for scalar-valued waves such as acoustics; the wa…