Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solutions of the cylindrical bending problem for the relaxed
  micromorphic continuum and other generalized continua (including full
  derivations)   We consider the cylindrical bending problem for an infinite plate as modelled
with a family of generalized continuum models, including the micromorphic
approach. The models allow to describe length scale effects in the sense that
thinner specimens are comparatively stiffer. We provide the analytical solution
for each case and exhibit the predicted bending stiffness. The relaxed
micromorphic continuum shows bounded bending stiffness for arbitrary thin
specimens, while classical micromorphic continuum or gradient elasticity as
well as Cosserat models [35] exhibit unphysical unbounded bending stiffness for
arbitrary thin specimens. This finding highlights the advantage of using the
relaxed micromorphic model, which has a definite limit stiffness for small
samples and which aids in identifying the relevant material parameters.

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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio