The elastodynamic model of wave-telegraph type for quasicrystals

被引：22

作者：

Agiasofitou, Eleni ^{[1
]}

Lazar, Markus ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Phys, Heisenberg Res Grp, D-64289 Darmstadt, Germany

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2014年 / 51卷 / 05期

关键词：

Quasicrystals; Phason dynamics; Waves; Phason frictional forces; Anisotropy; ELASTICITY THEORY; PHASON MODES; DISLOCATIONS; HYDRODYNAMICS; SYMMETRY; DEFECTS; ORDER;

D O I：

10.1016/j.ijsolstr.2013.11.016

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this work we propose the elastodynamic model of wave-telegraph type for the description of dynamics of quasicrystals. Phonons are represented by waves, and phasons by waves damped in time and propagating with finite velocity. Therefore, the equations of motion for the phonon fields are of wave type and for the phason fields are of telegraph type. The proposed model constitutes a unified theory in the sense that already established models in the literature can be recovered as asymptotic cases of it. The equations of motion for the displacement fields in the theory of incompatible and compatible elastodynamics of wave-telegraph type of quasicrystals are derived. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：923 / 929

页数：7

共 45 条

[1]

Aglasofitou E., 2010, J PHYS CONDENS MATT, V22

[2]

[Anonymous], 2009, Theory of Elasticity

[3]

[Anonymous], 2000, CLASSICAL MECH

[4]

[Anonymous], 2003, APPL PARTIAL DIFFERE

[5]

[Anonymous], 1992, Partial Differential Equations

[6]

[Anonymous], 1953, METHODS THEORETICAL

[7] SYMMETRY, STABILITY, AND ELASTIC PROPERTIES OF ICOSAHEDRAL INCOMMENSURATE CRYSTALS [J].

BAK, P .

PHYSICAL REVIEW B, 1985, 32 (09) :5764-5772

[8] PHENOMENOLOGICAL THEORY OF ICOSAHEDRAL INCOMMENSURATE (QUASIPERIODIC) ORDER IN MN-AL ALLOYS [J].

BAK, P .

PHYSICAL REVIEW LETTERS, 1985, 54 (14) :1517-1519

[9]

Barton H., 1989, ELEMENTS GREENS FUNC

[10]

CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431

← 1 2 3 4 5 →