Strength and strain rate sensitivity measurements for nanopolycrystalline copper, nickel and aluminium materials are assessed on the basis of a Hall–Petch method of analysis. The H–P kε values are attributed to the need for cross-slip in the grain boundary regions. Transition of the H–P dependence to the stress for a single dislocation loop expanding against the grain boundary resistance provides an explanation of higher measurements for nanoscale aluminium material.
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Ronald W. Armstrong (2016) studied this question.
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