Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mesoscale granular model for the mechanical behavior of alloys during
  solidification   We present a two-dimensional granular model for the mechanical behavior of an
ensemble of globular grains, during solidification. The grain structure is
produced by a Voronoi tessellation based on an array of predefined nuclei. We
consider the fluid flow caused by grain movement and solidification shrinkage
in the network of channels that is formed by the faces of the grains in the
tessellation. We develop the governing equations for the flow rate and pressure
drop across each channel when the grains are allowed to move, and we then
assemble the equations into a global expression that conserves mass and force
in the system. We show that the formulation is consistent with dissipative
formulations of non-equilibrium thermodynamics. Several example problems are
presented to illustrate the effect of tensile strains and the availability of
liquid to feed the deforming microstructure. For solid fractions below gs=0.97,
we find that the fluid is able to feed the deformation at low strain, even if
external feeding is not permitted. For solid fractions above gs=0.97, clusters
of grains with "dry" boundaries form, and fluid flow becomes highly localized.

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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas