Anisotropic and dispersive wave propagation within strain-gradient framework

In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity, wave propagation in hexagonal (chiral or achi...

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Veröffentlicht in:Wave motion 2016-06, Vol.63 (120–134), p.120-134
Hauptverfasser: Rosi, G., Auffray, N.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity, wave propagation in hexagonal (chiral or achiral) lattices becomes anisotropic as the frequency increases. Second, since strain-gradient elasticity is dispersive, group and energy velocities have to be treated as different quantities. These points are first theoretically derived, and then numerically experienced on hexagonal chiral and achiral lattices. The use of a continuum model for the description of the high frequency behavior of these microstructured materials can be of great interest in engineering applications, allowing problems with complex geometries to be more easily treated. •Specific features of wave propagation in strain gradient elastic media have been studied.•We observe anisotropic wave propagation in hexagonal and hexachiral materials.•We present numerical results in qualitative agreement with experiments.•Group velocity is proven to be different from energy velocity, for dispersive anisotropic media, in the strain gradient framework.
ISSN:0165-2125
1878-433X
DOI:10.1016/j.wavemoti.2016.01.009