Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inherent Symmetry and Microstructure Ambiguity in Micromechanics   The computational cost of micromechanics for heterogeneous materials can be
reduced in certain cases where symmetric boundary conditions are applicable. We
derived an eighth symmetric formulation of the Generalized Method of Cells for
triply periodic microstructures. During this endeavor, an inherent symmetry was
discovered. This implied that all repeating unit cells may be quarter symmetric
representations of other microstructures. Additionally, it was discovered that
a repeating unit cell can have columns of subcells swapped with no changes to
the local or global fields. We concluded that first-order micromechanics are
not well suited for capturing detailed or complex microstructures; however,
higher-order theories, such as High Fidelity Generalized Method of Cells, can
adequately model these microstructures.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph