Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Aspect Ratio and Boundary Conditions in Modeling Shape Memory
  Alloy Nanostructures with 3D Coupled Dynamic Phase-Field Models   The behavior of shape memory alloy (SMA) nanostructures is influenced by
strain rate and temperature evolution during dynamic loading. The coupling
between temperature, strain and strain rate effects is essential to capture
inherent thermo-mechanical behavior in SMAs. In this paper, we propose a new
fully coupled thermo-mechanical 3D phase-field model that accounts for two-way
coupling between mechanical (or structural) and thermal physics. The 3D model
provides a realistic description of the properties of SMAs nanostructures. We
use the strain-based Ginzburg-Landau potential for cubic-to-tetragonal phase
transformations. The variational formulation of the developed model is
implemented in the isogeometric analysis framework to overcome numerical
challenges. We have observed a complete disappearance of the out-of-plane
martensitic variant in a very high aspect ratio SMA domain as well as the
presence of three variants in equal portions in a low aspect ratio SMA domain.
The sensitive dependence of different boundary conditions on the microstructure
morphology has been examined energetically. The tensile tests on a rectangular
prism nanowires, using the displacement based loading, demonstrate the shape
memory effect and pseudoelastic behavior. We have also observed that higher
strain rates, as well as the lower aspect ratio domains, resulting in high
yield stress and phase transformations occur at higher stress during dynamic
axial loading. The simulation results using the developed model are in
qualitative agreement with the numerical and experimental results from the
literature.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg