Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Continuum Description of Failure Waves   Shattering of a brittle material such as glass occurs dynamically through a
propagating failure wave, which however, can not be assigned to any of the
classical waves of the elasto-plastic theories of materials. Such failure waves
have been a topic of research for decades. In this paper, we build a
thermodynamically consistent theory based on the idea that a failure wave is
analogous to a deflagration wave. Our theory admits, as special cases, the
classical models of Feng and Clifton. Two fundamental thermodynamic functions
(the free energy and the entropy production rate) form the basis of our theory.
Such a two-function approach allows for the construction of a new variational
principle and a new Lagrangian formulation that produce the equations of
motion. Finally, a linearization of this theory is examined to gain insight
into the coupling between the diffusive and elastic wave phenomena.

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The categories of this paper are: quant-ph
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org