Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanics and dynamics of two-dimensional quasiperiodic composites   Periodic configurations have dominated the design of phononic and
elastic-acoustic metamaterial structures for the past decades. Unlike periodic
crystals, quasicrystals lack translational symmetry but are unrestricted in
rotational symmetries, which leads to largely unexplored mechanical and dynamic
properties. We investigate a family of continuous elastic quasicrystals with
different rotational symmetry orders that are directly enforced through a
design procedure in reciprocal space. Their mechanical properties are
investigated as a function of symmetry order and filling fraction. Results
indicate that higher order symmetries, such as 8-, 10- and 14-fold, allow for
high equivalent stiffness characteristics that interpolate those of the
constituent material while maintaining high levels of isotropy for all filling
fractions. Thus, quasiperiodic composites exhibit more uniform strain energy
distributions when compared to periodic hexagonal configurations. Similarly,
nearly-isotropic wave propagation is observed over a broader range of
frequencies. Spectral contents are also investigated by enforcing rotational
symmetry constraints in a wedge-type unit cell, which allows for the estimation
of band gaps that are confirmed in frequency response computations. The
investigations presented herein open avenues for the general exploration of the
properties of quasiperiodic media, with potentials for novel architectured
material designs that expand the opportunities provided by periodic media.

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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs