Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A size-dependent ductile fracture model: Constitutive equations,
  Numerical implementation and Validation   Size effects have been predicted at the micro- or nano-scale for porous
ductile materials from Molecular Dynamics, Discrete Dislocation Dynamics and
Continuum Mechanics numerical simulations, as a consequence of Geometrically
Necessary Dislocations or due to the presence of a void matrix interface. As
voids size decreases, higher stresses are needed to deform the material, for a
given porosity. However, the majority of the homogenized models for porous
materials used in ductile fracture modeling are size-independent, even though
micrometric or nanometric voids are commonly observed in structural materials.
Based on yield criteria proposed in the literature for nanoporous materials, a
size-dependent homogenized model for porous materials is proposed for
axisymmetric loading conditions, including void growth and coalescence as well
as void shape effects. Numerical implementation of the constitutive equations
is detailed. The homogenized model is validated through comparisons to porous
unit cells finite element simulations that consider interfacial stresses,
consistently with the model used for the derivation of the yield criteria,
aiming at modeling an additional hardening at the void matrix interface.
Potential improvements of the model are finally discussed with respect to the
theoretical derivation of refined yield criteria and evolution laws.

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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex