Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering of antiplane elastic waves by two-dimensional periodic arrays
  of cracks   In the context of elastic wave propagation in damaged solids, an analytical
approach for scattering of antiplane waves by two-dimensional periodic arrays
of cracks is developed. Before considering the study of arrays of cracks, the
scattering of an antiplane wave by a flat crack is first studied. Then, using
the representation formula for the scattered displacement by a flat and by
considering the periodicity condition of the crack-spacing, a boundary integral
equation is obtained for the crack face displacement of the reference crack.
Numerical results for the reflection and transmission coefficients are
presented as functions of the crack-spacing, the frequency of excitation, and
the angle of incidence. Finally, the propagation of antiplane waves by
two-dimensional periodic arrays of cracks is studied. Despite the use of a
finite number of linear arrays, one recognizes the effects of band-pass
filtering or band rejection characteristics of the transmission spectra of a
periodic medium. Effects due to a disorder in the periodicity are also
analysed.

21
The categories of this paper are: adap-org
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph