On the Physical Meaning of the Hall-Petch Constant

Ji Luo; Zhi Rui Wang

doi:10.4028/www.scientific.net/AMR.15-17.643

Paper Titles

Microstructures of Rapidly Solidified Pb-Sb-Sn-Alloys
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Effect of Technological Parameters on the Profile Extrusion Process
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Board-Level Reliability of Pb-Free Surface Mounted Assemblies during Thermal Shock Testing
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Crystal-Grain Refinement of Materials under an Ultra-Strong Gravitational Field
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On the Physical Meaning of the Hall-Petch Constant
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Microstructural Evolution and Recrystallization Behavior in Copper Multi-Directionally Forged at 77 K
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On the Forming of Metallic Parts through Electromagnetic and Electrohydraulic Processing
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The Effect of Grain Size and Amount of β Phase on the Properties of Back-Torsion Working in 60/40 Brass
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HRTEM Study of α-Phase in Cu-Zn-Si Alloy
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 15-17On the Physical Meaning of the Hall-Petch Constant

On the Physical Meaning of the Hall-Petch Constant

Abstract:

In order to solve the contradiction found in the Hall-Petch behavior in the ultra-finegrained- and nano-grained- materials, reinvestigation of the physical meaning of Hall-Petch constants has become necessary. The present work is hence attempted to theoretically construct the Hall-Petch slope constant, KH-P. This was carried out based on the principle of image analysis and previous internal energy approach. After analyzing several influencing factors on the KH-P, a model was established with 95% accuracy in predicting the KH-P value. In other words, this model, for the first time, has related the KH-P value to grain boundary surface energy,γ , shear modulus, G, and lattice constant, a0, via 1/ 2 0 K β G(2a γ ) H P = − .