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- W98278444 abstract "The first part of this chapter presents essential information on linear elastic waves. It involves basic equations of wave propagation in the theory of elasticity, volume and shear waves, the classic wave equation and basic facts associated with it, features, and terminology. The classic examples of breaking the correctness in mathematical statements (Helmholtz and Taylor instabilities and as well as Hadamard example and John sentence) are proposed, which describe the generation of waves. Special attention is given to plane waves and their classical analysis. In the second part, a model of linear elastic mixture (a structural model of the second order) that is distinct from the model of averaged elastic moduli used in the first part is considered. Here the basic equations of wave propagation in elastic mixtures, volume and shear waves, and plane waves and a brief analysis of them are presented." @default.
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- W98278444 date "2014-01-01" @default.
- W98278444 modified "2023-09-27" @default.
- W98278444 title "The Simplest Linear Waves in Elastic Materials" @default.
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- W98278444 doi "https://doi.org/10.1007/978-3-319-00464-8_4" @default.
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