Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of the material substructure on crack propagation: a unified
  treatment   The influence of the material texture (substructure) on the force driving the
crack tip in complex materials admitting Ginzburg-Landau-like energies is
analyzed in a three-dimensional continuum setting. The theory proposed accounts
for finite deformations and general coarse-grained order parameters. A modified
expression of the J-integral is obtained together with other path-integrals
which are necessary to treat cases where the process zone around the tip has
finite size. The results can be applied to a wide class of material
substructures. As examples, cracks in ferroelectrics and in materials with
strain-gradient effects are discussed: in these cases the specializations of
the general results fit reasonably experimental data.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
19
The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga