Elasticity theory, fracture mechanics, and some relevant thermal properties of quasi-crystalline materials

[+] Author and Article Information
Tian-You Fan

Department of Physics, Beijing Institute of Technology, PO Box 327, Beijing 100081, PR China; tianyoufan@yahoo.com

Yiu-Wing Mai

School of Aerospace, Mechanical and Mechatronic Engineerinig, University of Sydney, Sydney, NSW 2006, Australia; mai@aeromech.usyd.edu.au

Appl. Mech. Rev 57(5), 325-343 (Dec 21, 2004) (19 pages) doi:10.1115/1.1763591 History: Online December 21, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
The pattern of diffraction and the stereographic structure of an icosahedral quasi-crystal
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Penrose tiling of a 2D quasi-crystal with five-fold symmetry
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A hollow cylinder of octagonal quasi-crystal subjected to a pressure
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Phonon stress versus radial distance
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Phason stress versus radial distance
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Phonon displacement versus radial distance
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Phason displacement versus radial distance
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Strain energy density of hollow cylinder versus radial distance: a) distribution curve, and b) distribution along thickness
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The mesh of phason field before and after deformation: a) before deformation, and b) after deformation
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FEM numerical results of normalized phonon stress near the crack tip versus normalized distance




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