Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Predicting the pressure-volume curve of an elastic microsphere composite   The effective macroscopic response of nonlinear elastomeric inhomogeneous
materials is of great interest in many applications including nonlinear
composite materials and soft biological tissues. The interest of the present
work is associated with a microsphere composite material, which is modelled as
a matrix-inclusion composite. The matrix phase is a homogeneous isotropic
nonlinear rubber-like material and the inclusion phase is more complex,
consisting of a distribution of sizes of stiff thin spherical shells filled
with gas. Experimentally, such materials have been shown to undergo complex
deformation under cyclic loading. Here, we consider microspheres embedded in an
unbounded host material and assume that a hydrostatic pressure is applied in
the "far-field". Taking into account a variety of effects including buckling of
the spherical shells, large deformation of the host phase and evolving
microstructure, we derive a model predicting the pressure-relative volume
change load curves. Nonlinear constitutive behaviour of the matrix medium is
accounted for by employing neo-Hookean and Mooney-Rivlin incompressible models.
Moreover a nearly-incompressible solution is derived via asymptotic analysis
for a spherical cavity embedded in un unbounded isotropic homogeneous
hyperelastic medium loaded hydrostatically. The load-curve predictions reveal a
strong dependence on the microstructure of the composite, including
distribution of microspheres, the stiffness of the shells, and on the initial
volume fraction of the inclusions, whereas there is only a modest dependence on
the characteristic properties of the nonlinear elastic model used for the
rubber host.

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The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci