Dispersive Waves in Microstructured Solids

A. Berezovski; J. Engelbrecht; A. Salupere; K. Tamm; T. Peets; Mihhail Berezovski

doi:10.1016/j.ijsolstr.2013.02.018

Dispersive Waves in Microstructured Solids

A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets, Mihhail Berezovski

Research output: Contribution to journal › Article › peer-review

Abstract

The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.

Original language	American English
Journal	International Journal of Solids and Structures
Volume	50
DOIs	https://doi.org/10.1016/j.ijsolstr.2013.02.018
State	Published - Jun 1 2013
Externally published	Yes

Keywords

Microstructured solids
Wave propagation
Dispersion

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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Dispersive Waves in Microstructured SolidsFinal published version, 1.8 MBLicense: CC BY

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abstract = " The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.",

keywords = "Microstructured solids, Wave propagation, Dispersion",

author = "A. Berezovski and J. Engelbrecht and A. Salupere and K. Tamm and T. Peets and Mihhail Berezovski",

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T1 - Dispersive Waves in Microstructured Solids

AU - Berezovski, A.

AU - Engelbrecht, J.

AU - Salupere, A.

AU - Tamm, K.

AU - Peets, T.

AU - Berezovski, Mihhail

PY - 2013/6/1

Y1 - 2013/6/1

N2 - The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.

AB - The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.

KW - Microstructured solids

KW - Wave propagation

KW - Dispersion

UR - https://commons.erau.edu/publication/927

U2 - 10.1016/j.ijsolstr.2013.02.018

DO - 10.1016/j.ijsolstr.2013.02.018

M3 - Article

SN - 1879-2146

VL - 50

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

Dispersive Waves in Microstructured Solids

Abstract

Keywords

Disciplines

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