Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Power-Law Strengthening in Metals?   The strength of most metals used in daily life scales with either an internal
or external length scale. Empirically, this is characterized by power-laws
persisting to six orders of magnitude in both strength and length scale.
Attempts at understanding this scaling have generally been based on a specific
mechanism. However the wide applicability of material type and microstructure
to this phenomenon suggests a single mechanism is unlikely to capture the
observed trend. Here we develop a model which gives quantitative insight into
the scaling exponent using the known universal properties of a dislocation
network and the leading order stress dependence of an underlying critical
stress distribution. This approach justifies a value for the scaling exponent
for virtually any experimental data set within the frameworks of both
Hall-Petch strengthening and the "small is stronger" paradigm of small scale
plasticity.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc