Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Identification of higher-order continua equivalent to a Cauchy elastic
  composite   A heterogeneous Cauchy elastic material may display micromechanical effects
that can be modeled in a homogeneous equivalent material through the
introduction of higher-order elastic continua. Asymptotic homogenization
techniques provide an elegant and rigorous route to the evaluation of
equivalent higher-order materials, but are often of difficult and awkward
practical implementation. On the other hand, identification techniques, though
relying on simplifying assumptions, are of straightforward use. A novel
strategy for the identification of equivalent second-gradient Mindlin solids is
proposed in an attempt to combine the accuracy of asymptotic techniques with
the simplicity of identification approaches. Following the asymptotic
homogenization scheme, the overall behaviour is defined via perturbation
functions, which (differently from the asymptotic scheme) are evaluated on a
finite domain obtained as the periodic repetition of cells and subject to
quadratic displacement boundary conditions. As a consequence, the periodicity
of the perturbation function is satisfied only in an approximate sense,
nevertheless results from the proposed identification algorithm are shown to be
reasonably accurate.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat