Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material (Q2735156)
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scientific article; zbMATH DE number 1640155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material |
scientific article; zbMATH DE number 1640155 |
Statements
12 September 2001
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dispersive waves
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wave propagation
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plane phase technique
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singularity
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travelling waves
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Mooney-Rivlin rods
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cusp solitary waves
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radial contraction waves
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Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material (English)
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This paper deals with wave propagation in Mooney-Rivlin elastic rods. The study is based on the derivation of a set of differential equations which exhibits a discontinuity at a certain point. The author uses the plane phase technique to study this singularity. The main contribution lies in showing that, in contrast to neo-Hookean materials where there are only two types of travelling waves, the Mooney-Rivlin rods can exhibit ten types of travelling waves (among them, the cusp solitary waves and radial contraction waves).NEWLINENEWLINEFor the entire collection see [Zbl 0962.00003].
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