Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive edge-based smoothed finite element method (ES-FEM) for
  phase-field modeling of fractures at large deformations   This work presents the Griffith-type phase-field formation at large
deformation in the framework of adaptive edge-based smoothed finite element
method (ES-FEM) for the first time. Therein the phase-field modeling of
fractures has attracted widespread interest by virtue of its outstanding
performance in dealing with complex cracks. The ES-FEM is an excellent member
of the S-FEM family developed in combination with meshless ideas and finite
element method (FEM), which is characterized by higher accuracy, softer
stiffness, and insensitive to mesh distortion. Given that, the advantages of
the phase-field method (PFM) and ES-FEM are fully combined by the approach
proposed in this paper. With the costly computational overhead of PFM and
ES-FEM in mind, a well-designed multi-level adaptive mesh strategy was
developed, which considerably improved the computational efficiency.
Furthermore, the detailed numerical implementation for the coupling of PFM and
ES-FEM is outlined. Several representative numerical examples were recalculated
based on the proposed method, and its effectiveness is verified by comparison
with the results in experiments and literature. In particular, an experiment in
which cracks deflected in rubber due to impinging on a weak interface was
firstly reproduced.

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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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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: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an