Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Configurational stability of a crack propagating in a material with
  mode-dependent fracture energy - Part I: Mixed-mode I+III   In a previous paper (Leblond et al., 2011), we proposed a theoretical
interpretation of the experimentally well known instability of coplanar crack
propagation in mode I+III. The interpretation relied on a stability analysis
based on analytical expressions of the stress intensity factors for a crack
slightly perturbed both within and out of its original plane, due to Gao and
Rice (1986) and Movchan et al. (1998), coupled with a double propagation
criterion combining Griffith's energetic condition and principle of local
symmetry. Under such assumptions instability modes were indeed evidenced for
values of the mode mixity ratio of the mode III to mode I stress intensity
factors applied remotely larger than some threshold depending only on Poisson's
ratio. Unfortunately, the predicted thresholds were much larger than those
generally observed for typical values of this material parameter. While the
subcritical character of the nonlinear bifurcation from coplanar to fragmented
fronts has been proposed as a possible explanation for this discrepancy (Chen
et al., 2015), we propose here an alternative explanation based on the
introduction of a constitutive relationship between the fracture energy and the
mode mixity ratio, which is motivated by experimental observations. By
reexamining the linear stability analysis of a planar propagating front, we
show that such a relationship suffices, provided that it is strong enough, to
lower significantly the threshold value of the mode mixity ratio for
instability so as to bring it in a range more consistent with experiments.
Interesting formulae are also derived for the distributions of the perturbed
stress intensity factors and energy release rate, in the special case of
perturbations of the crack surface and front obeying the principle of local
symmetry and having reached a stationary state.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex