Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical investigation of the interaction between the martensitic
  transformation front and the plastic strain in austenite   Phase-field simulations of the martensitic transformation (MT) in the
austenitic matrix, which has already undergone the plastic deformation, are
carried out. For this purpose the elasto-plastic phase-field approach of
incoherent MT developed in the previous work [Kundin et. al. J. Mech. and Phys.
Solids 59 (2011) 2012] is used. The evolution equation for the dislocation
density field is extended by taking into account the thermal and athermal
annihilation of the dislocations in the austenitic matrix and the athermal
annihilation at the transformation front. It is shown that the plastic
deformation in the austenite caused by the MT interacts with the pre-deformed
plastic strain that leads to the inhomogeneous increasing of the total
dislocation density. During the phase transformation one part of the
dislocations in the pre-deformed austenite is inherited by the martensitic
phase and this inheritance depends on the crystallography of MT. An other part
of dislocations annihilates at the transformation front and decreases the
dislocation density in the growing martensite. Based on the simulation results
a phenomenological dependency of the inherited dislocations on the martensitic
fraction and the plastic deformation in the martensite and austenitic matrix is
proposed.

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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph