Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A unified numerical approach for soft to hard magneto-viscoelastically
  coupled polymers   The last decade has witnessed the emergence of magneto-active polymers (MAPs)
as one of the most advanced multi-functional soft composites. Depending on the
magnetisation mechanisms and responsive behaviour, MAPs are mainly classified
into two groups: i) hard magnetic MAPs in which a large residual magnetic flux
density sustains even after the removal of the external magnetic field, and ii)
soft magnetic MAPs where the magnetisation of the filler particles disappear
upon the removal of the external magnetic field. Polymeric materials are widely
treated as fully incompressible solids that require special numerical treatment
to solve the associated boundary value problem. Furthermore, both soft and hard
magnetic particles-filled soft polymers are inherently viscoelastic. Therefore,
the aim of this paper is to devise a unified finite element method-based
numerical framework for magneto-mechanically coupled systems that can work for
compressible and fully incompressible materials and from hard to soft MAPs,
including the effects of the time-dependent viscoelastic behaviour of the
underlying matrix. First, variational formulations for the uncoupled problem
for hard MAPs and the coupled problem for soft MAPs are derived. The weak forms
are then discretised with higher-order B\'ezier elements while the evolution
equation for internal variables in viscoelastic models is solved using the
generalised-alpha time integration scheme, which is implicit and second-order
accurate. Finally, a series of experimentally-driven boundary value problems
consisting of the beam and robotic gripper models are solved in
magneto-mechanically coupled settings, demonstrating the versatility of the
proposed numerical framework. The effect of viscoelastic material parameters on
the response characteristics of MAPs under coupled magneto-mechanical loading
is also studied.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph