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

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.
Authors:
 [1] ;  [2] ;  [1] ;  [2] ;  [3] ;  [4] ;  [5]
  1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031 (China)
  2. (China)
  3. (Germany)
  4. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031 (China)
  5. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, Kaiserslautern D-67653 (Germany)
Publication Date:
OSTI Identifier:
22402884
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Applied Physics; Journal Volume: 117; Journal Issue: 15; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; ATOMIC FORCE MICROSCOPY; CRACKS; ERRORS; INTEGRAL EQUATIONS; PHONONS; POTENTIALS; PROBES; SILVER; TWO-DIMENSIONAL SYSTEMS