Affiliation:
1. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou 215123, P. R. China
Abstract
Hall–Petch strengthening has been widely used in materials science, but its mechanism is not very clear yet, some inverse phenomena were observed. This paper gives a fractal approach to explanation of the Hall–Petch effect, revealing the value of the fractal dimensions is the key factor: when it is larger than one, the Hall–Petch effect is predicted; while when it is smaller than one, an inverse Hall–Petch relationship is obtained. The fractal theory can also explain the nano-effort (size effort) in nanotechnology and spider silk’s strength.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
55 articles.
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