Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ogden Material Calibration via Magnetic Resonance Cartography, Parameter
  Sensitivity, and Variational System Identification   Contemporary techniques in the mechanical calibration of materials that
leverage full three-dimensional deformation fields and the weak form of the
equilibrium equations face challenges in the numerical solving procedure of the
inverse characterization problem. As material models and descriptions differ,
so too must the approaches for identifying their system mechanics. The
widely-used Ogden material model, comprised of an unknown number of terms of
the same mathematical form, presents challenges in interpretability, stability,
and parsimony. In turn, we intend to use our estimates to assess and improve
our experimental design. Using fully 3D displacement fields acquired in
silicone elastomers using our recently-developed magnetic resonance cartography
(MR-u) technique on the order of $>20,000$ points per sample, we leverage
PDE-constrained optimization as the basis of variational system identification
of our material parameters. We incorporate the statistical F-test to maintain
parsimony of representation. Using a new decomposition of the deformation field
locally into mixtures of biaxial and uniaxial tensile states, we evaluate
experiments based on an analytical sensitivity metric, and discuss the
implications for future experimental design.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
3
The categories of this paper are: physics