We consider three different non–overlapping germ–grain models, two of which are constructed in a similar fashion. These two models are generalisations of Matérn’s hard–core models. In both cases we start with a homogeneous Poisson process and use the points as centres of convex sets, grains, of the same shape. The process is thinned so that no grains overlap. Two different thinning schemes resu...

Grain harvest has to be done in a timely manner, in order to harvest the whole farm within the available suitable weather days for the operation. This short period combined with an increasing farm size, has lead farmers to buy more expensive combines with higher theoretical harvest capacity. A bigger combine does not automatically imply higher capacity. The grain harvesting process involves the...

The hot deformation and dynamic recrystallization behavior of the dual-phase Mg-9Li-3Al-2Sr-2Y alloy had been investigated using a compression test. The typical dual-phase structure was observed, and average of grain size of as-homogenized alloy is about 110 µm. It mainly contains β-Li, α-Mg, Al₄Sr and Al₂Y phases. The dynamic recrystallization (DRX) kinetic was established based on an Avrami t...

Microstructural changes during laser welding and laser surface treatment has been regarded by many researchers. Most researches have focused on studying the effect of various process parameters on the size and microstructure of the heat affected zone. But some studies show that the initial microstructure of the base metal can also affect the heat affected zone dimensions and final microstructur...

In this paper, we present a method for overlapping communications on parallel computers for pipelined algorithms. We rst introduce a general theoretical model which leads to a generic computation scheme for the optimal packet size. Then, we use the OPIUM 3 library, which provides an easy-to-use and eecient way to compute, in the general case, this optimal packet size, on the column LU factoriza...

We present the first systematic algorithm to estimate the maximum packing density of spheres when the grain sizes are drawn from an arbitrary size distribution. With an Apollonian filling rule, we implement our technique for disks in 2d and spheres in 3d. As expected, the densest packing is achieved with power-law size distributions. We also test the method on homogeneous and on empirical real ...

Geological data from measurement of sediment granulation over a 24 hour period in a lake formed by the Matanuska Glacier in Alaska was applied to synthesis parameters. The parameters measured include time, grain size and grain frequency. Several mapping strategies were employed to generate different types of additive and granular synthesis sound materials: 1) time to event grouping, sediment gr...

A review is given of the analogous dependence on reciprocal square root of grain size or crack size of fracture strength measurements reported for steel and other potentially brittle materials. The two dependencies have much in common. For onset of cleavage in steel, attention is focused on relationship of the essentially athermal fracture stress compared with a quite different viscoplastic yie...