Waves in microstructured materials and dispersion

被引：107

作者：

Engelbrecht, J ^{[1
]}

Berezovski, A

Pastrone, F

Braun, M

机构：

[1] Tallinn Univ Technol, Inst Cybernet, Ctr Nonlinear Studies, Tallinn, Estonia

[2] Univ Turin, Dept Math, Turin, Italy

[3] Univ Duisburg Essen, Chair Mech, Duisburg, Germany

来源：

PHILOSOPHICAL MAGAZINE | 2005年 / 85卷 / 33-35期

关键词：

D O I：

10.1080/14786430500362769

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The dispersive effects due to the presence of microstructure in solids are studied. The basic mathematical model is derived following Mindlin's theory. In the one-dimensional case the governing equations of a linear system are presented. An approximation using the slaving principle indicates a hierarchy of waves. The corresponding dispersion relations are compared with each other. The choice between the models can be made on the basis of physical effects described by dispersion relations.

引用

页码：4127 / 4141

页数：15

共 26 条

[1]

ASKAR A, 1985, LATTICE DYNAMICAL FD, P192

[2] Simulation of thermoelastic wave propagation by means of a composite wave-propagation algorithm [J].

Berezovski, A ;

Maugin, GA .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 168 (01) :249-264

[3]

Brillouin L., 1953, Wave propagation in periodic structures, P255

[4]

CAPRIZ G, 1989, CONTINUA MICROSTRUCT, P92

[5]

Christiansen P. L., 1992, Chaos, Solitons and Fractals, V2, P45, DOI 10.1016/0960-0779(92)90046-P

[6]

Engelbrecht J., 2003, Proceedings of the Estonian Academy of Sciences. Physics, Mathematics, V52, P12

[7]

ENGELBRECHT J, 1999, GEOMETRY CONTINUA MI, P99

[8]

Eringen A. C., 1999, MICROCONTINUUM FIELD, V1, P325

[9]

ERINGEN AC, 1966, J MATH MECH, V15, P909

[10]

Erofeev V.I., 2003, WAVE PROCESSES SOLID, P255

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