In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...

A IO N When materials are uniaxially compressed, they typically expand in directions orthogonal to the applied load. Here, we exploit buckling to design a new class of three dimensional metamaterials with negative Poisson's ratio that contract in the transverse direction under compressive loading regimes. These proposed metamaterials consist of an array of patterned elastomeric spherical shells...

A novel unit cell structure with re-entrant hollow skeleton is designed and its Poisson's ratio has been studied using the finite element method (FEM) as a function of the geometric variables and the parent material Poisson's ratio. The simulation results showed that the Poisson's ratio of the unit cell structure is tunable over the full range of Poisson’s ratio (-1 to +0.5) by varying the geom...

In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...

In certain statistical process control applications, quality of a process or product can be characterized by a function commonly referred to as profile. Some of the potential applications of profile monitoring are cases where quality characteristic of interest is modelled using binary,multinomial or ordinal variables. In this paper, profiles with multinomial response are studied. For this purpo...

This article presents an experimental study by holographic interferometry of the following material properties of conventional and negative Poisson's ratio copper foams: Young's moduli, Poisson's ratios, yield strengths, and characteristic lengths associated with inhomogeneous deformation. The Young's modulus and yield strength of the conventional copper foam were comparable to those predicted ...

It has been believed that C3N 4 ceramic would be harder than diamond. Predictions are reported of the mechanical properties based on a force field derived from ab initio quantum mechanics. The predicted structure for oc-C3N 4 is in good agreement with transmission electron diffraction (TED) studies, supporting the identity of the films as ot-C3N 4. The bulk modulus of ot-C3N 4 is calculated to ...

Plasmonic nanostructures with a negative Poisson ratio are demonstrated, having the unusual mechanical property of auxetics to expand laterally when being stretched. Using nanomembrane technology, auxetics are shrunk by orders of magnitude, giving simultaneous access to optical properties of plasmonic metamaterials, as well as auxetic mechanical properties on the nanoscale.

The sufficient statistic for performing the likelihood ratio test for pairwise interaction point processes is well-known; however, the evaluation of its performance is a very difficult problem. In this paper it is shown that the distribution of the sufficient statistic can be approximated by the distribution of a Poisson-driven shot-noise random variable, which can be readily computed.

In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...