Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What is the stiffness of a bent book?   We study the bending of a book-like system, comprising a stack of elastic
plates coupled through friction. The behavior of this layered system is rich
and nontrivial, with a non-additive enhancement of the apparent stiffness and a
significant hysteretic response. A dimension reduction procedure is employed to
develop a centerline-based theory describing the stack as a non-linear planar
rod with internal shear. We consider the coupling between the nonlinear
geometry and the elasticity of the stacked plates, treating the interlayer
friction perturbatively. This model yields predictions for the stack's
mechanical response in three-point bending that are in excellent agreement with
our experiments. Remarkably, we find that the energy dissipated during
deformation can be rationalized over three orders of magnitude, including the
regimes of a thick stack with large deflection. This robust dissipative
mechanism could be harnessed to design new classes of low-cost and efficient
damping devices.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: comp-gas