Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis of hierarchical martensitic microstructure   We consider a hierarchical nested microstructure, which also contains a point
of singularity (disclination) at the origin, observed in lead orthovanadate. We
show how to exactly compute the energy cost and associated displacement field
within linearized elasticity by enforcing geometric compatibility of strains
across interfaces of the three-phase mixture of distortions (variants) in the
microstructure. We prove that the mechanical deformation is purely elastic and
discuss the behavior of the system close to the origin.

13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin