Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elastically-mediated interactions between grain boundaries and
  precipitates in two-phase coherent solids   We investigate analytically and numerically the interaction between grain
boundaries and second phase precipitates in two-phase coherent solids in the
presence of misfit strain. Our numerical study uses amplitude equations that
describe the interaction of composition and stress [R. Spatschek and A. Karma,
Phys. Rev. B {\bf 81}, 214201 (2010)] and free-energies corresponding to
two-dimensional hexagonal and three-dimensional BCC crystal structures that
exhibit isotropic and anisotropic elastic properties, respectively. We consider
two experimentally motivated geometries where (i) a lamellar precipitate
nucleates along a planar grain boundary that is centered inside the
precipitate, and (ii) a circular precipitate nucleates inside a grain at a
finite distance to an initially planar grain boundary. For the first geometry,
we find that the grain boundary becomes morphologically unstable due to the
combination of long-range elastic interaction between the grain boundary and
compositional domain boundaries, and shear-coupled grain boundary motion. We
characterize this instability analytically by extending the linear stability
analysis carried out recently [P.-A. Geslin, Y.-C. Xu, and A. Karma, Phys. Rev.
Lett. {\bf 114}, 105501 (2015)] to the more general case of elastic anisotropy.
The analysis predicts that elastic anisotropy hinders but does not suppress the
instability. Simulations also reveal that, in a well-developed non-linear
regime, this instability can lead to the break-up of low-angle grain boundaries
when the misfit strain exceeds a threshold that depends on the grain boundary
misorientation. For the second geometry, simulations show that the elastic
interaction between an initially planar grain boundary and an adjacent circular
precipitate causes the precipitate to migrate to and anchor at the grain
boundary.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
19
The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex