Fundamental solutions in a half space of two-dimensional hexagonal quasicrystal and their applications
Journal Article
·
· Journal of Applied Physics
- State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031 (China)
- Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031 (China)
- 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, Journal Name: Journal of Applied Physics Journal Issue: 15 Vol. 117; ISSN JAPIAU; ISSN 0021-8979
- Country of Publication:
- United States
- Language:
- English
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