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Design and Optimization of Nano-Bio-Inspired Hierarchical or Nano-Grained Materials

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 نشر من قبل Nicola Pugno
 تاريخ النشر 2005
  مجال البحث فيزياء
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 تأليف Nicola M. Pugno




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In this letter a mathematical model to design nano-bio-inspired hierarchical materials is proposed. An optimization procedure is also presented. Simple formulas describing the dependence of strength, fracture toughness and stiffness on the considered size-scale are derived, taking into account the toughening biomechanisms. Furthermore, regarding nano-grained materials the optimal grain size is deduced: incidentally, it explains and quantitatively predicts the deviation from the well-known Hall-Petch regime. In contrast with the common credence, this deviation does not arise at a universal value of grain size but it is strongly dependent on the mechanical properties of the mixture.

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