Fundamental solutions in a half space of two-dimensional hexagonal quasicrystal and their applications

Journal Article · Tue Apr 21 00:00:00 EDT 2015 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.4918535· OSTI ID:22402884

Wang, T. ^[1]; Zhang, X. ^[2]; Müller, R. ^[3]

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1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031 (China)
2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031 (China)
3. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern D-67653 (Germany)

Fundamental phonon-phason field in a half-infinite space of two-dimensional hexagonal quasicrystal is derived, on the basis of general solutions in terms of quasi-harmonic functions, by virtue of the trial-and-error technique. Extended Boussinesq and Cerruti problems are studied. Appropriate potential functions are assumed and corresponding fundamental solutions are explicitly derived in terms of elementary functions. The boundary integral equations governing the contact and crack problems are constructed from the present fundament solutions. The obtained analytical solutions can serve as guidelines for future indentation tests via scanning probe microscopy and atomic force microscopy methods.

• OSTI ID: 22402884
• Journal Information: Journal of Applied Physics, Vol. 117, Issue 15; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ATOMIC FORCE MICROSCOPY
CRACKS
ERRORS
INTEGRAL EQUATIONS
PHONONS
POTENTIALS
PROBES
SILVER
TWO-DIMENSIONAL SYSTEMS