Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface tension and the Mori-Tanaka theory of non-dilute soft composite
  solids   Eshelby's theory is the foundation of composite mechanics, allowing
calculation of the effective elastic moduli of composites from a knowledge of
their microstructure. However it ignores interfacial stress and only applies to
very dilute composites -- i.e. where any inclusions are widely spaced apart.
Here, within the framework of the Mori-Tanaka multiphase approximation scheme,
we extend Eshelby's theory to treat a composite with interfacial stress in the
non-dilute limit. In particular we calculate the elastic moduli of composites
comprised of a compliant, elastic solid hosting a non-dilute distribution of
identical liquid droplets. The composite stiffness depends strongly on the
ratio of the droplet size, $R$, to an elastocapillary length scale, $L$.
Interfacial tension substantially impacts the effective elastic moduli of the
composite when $R/L\lesssim 100$. When $R < 3L/2$ ($R=3L/2$) liquid inclusions
stiffen (cloak the far-field signature of) the solid.

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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: eess