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A general solution of elasto-hydrodynamics of two-dimensional quasicrystals

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WOS被引频次:49
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成果类型:
期刊论文
作者:
Li, X-F*
通讯作者:
Li, X-F
作者机构:
[Li, X-F; Li, XF] Cent S Univ, Sch Civil Engn & Architecture, Changsha 410075, Hunan, Peoples R China.
通讯机构:
[Li, X-F] Cent S Univ, Sch Civil Engn & Architecture, Changsha 410075, Hunan, Peoples R China.
语种:
英文
关键词:
elasticity;elasto-hydrodynamics;mechanics of materials;phason;phonon;quasicrystals
期刊:
Philosophical Magazine Letters
ISSN:
0950-0839
年:
2011
卷:
91
期:
4
页码:
313-320
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:物理学;WOS学科类别:Materials Science, Multidisciplinary;Metallurgy & Metallurgical Engineering;Physics, Applied;Physics, Condensed Matter
入藏号:
WOS:000288196300010;EI:20111213764586
基金类别:
National Sciences Foundation of China Tianyuan Foundation [11026175]
机构署名:
本校为第一且通讯机构
院系归属:
土木工程学院
摘要:
Dynamic problems of quasicrystals are analysed within the framework of continuum mechanics. Phonon excitations yield wave propagation while phason excitations yield atomic diffusion. Phonon fields obey the equations of motion and phason fields obey the diffusion equations. Governing equations of elasto-hydrodynamics of decagonal quasicrystals combine characteristics of the equations of motion and diffusion. A general solution is derived in terms of two introduced auxiliary functions. It provides an easy-to-use approach to solve initial-boundary value problems encountered in elasticity problems for quasicrystals. Explicit expressions for displacements and stresses in the phonon and phason fields can be directly obtained. A derived general solution is also applicable to some planar quasicrystals such as pentagonal quasicrystals with fivefold symmetry.
参考文献:
Bachteler J, 1998, EUR PHYS J B, V4, P299, DOI 10.1007/s100510050383
BAK P, 1985, PHYS REV LETT, V54, P1517, DOI 10.1103/PhysRevLett.54.1517
Chernikov MA, 1998, PHYS REV LETT, V80, P321, DOI 10.1103/PhysRevLett.80.321
DE P, 1987, PHYS REV B, V35, P8609, DOI 10.1103/PhysRevB.35.8609
DING DH, 1993, PHYS REV B, V48, P7003, DOI 10.1103/PhysRevB.48.7003

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