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Waves in a gradient-elastic medium with surface energy

โœ Scribed by V.I. Yerofeyev; O.A. Sheshenina

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
794 KB
Volume
69
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

The propagation of different types of elastic waves in a gradient-elastic medium with surface energy is considered. The dispersion characteristics of longitudinal and shear body waves, Rayleigh surface waves and antiplane shear surface waves, and antiplane shear waves in a layer are analysed in a linear approximation. Antiplane shear surface waves are also investigated taking geometrical non-linearity into account; their modulation instability, which leads to self-modulation and the formation of stationary envelope waves is also considered.

๐Ÿ“œ SIMILAR VOLUMES

Riemann waves in an elastic medium with
Riemann waves in an elastic medium with small cubic anisotropy
โœ E.I. Sveshnikova ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 584 KB

Riemann waves in a weakly non-linear weakly anisotropic elastic material possessing the property of cubic symmetry are considered. The elastic potential is taken in the form of a series expansion in powers of the strain up to the fourth order of smallness. Anisotropy is represented in this expansion