Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the higher-order pseudo-continuum characterization of discrete
  kinematic results from experimental measurement or discrete simulation   The purpose of this work is the development and determination of higher-order
continuum-like kinematic measures which characterize discrete kinematic data
obtained from experimental measurement (e.g., digital image correlation) or
kinematic results from discrete modeling and simulation (e.g., molecular
statics, molecular dynamics, or quantum DFT). From a continuum point of view,
such data or results are in general non-affine and incompatible, due for
example to shear banding, material defects, or microstructure. To characterize
such information in a (pseudo-) continuum fashion, the concept of discrete
local deformation is introduced and exploited. The corresponding measures are
determined in a purely discrete fashion independent of any relation to
continuum fields. Demonstration and verification of the approach is carried out
with the help of example applications based on non-affine and incompatible
displacement information. In particular, for the latter case, molecular statics
results for the displacement of atoms in and around a dislocation core in fcc
Au are employed. The corresponding characterization of lattice distortion in
and around the core in terms of higher-order discrete local deformation
measures clearly shows that, even in the simplest case of planar cores, such
distortion is only partly characterized by the Nye tensor.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph