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Fundamental Solutions of Dynamics of Anisotropic Elastic Medium

G. K. Zakir’yanova ()
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G. K. Zakir’yanova: Institute of Mechanics and Mechanical Engineering after academician U.A. Dzholdasbekov

Chapter Chapter 5 in Transactions on Engineering Technologies, 2019, pp 59-71 from Springer

Abstract: Abstract By using the Fourier transform of generalized functions the fundamental solutions of anisotropic elastic medium dynamics are constructed and their properties are studied. The conditions on the wave front, that simulate the shock waves in continuous media, are given. The results of the numerical calculations, which show the existence of lacunas for strongly anisotropic media, are presented.

Keywords: Anisotropy; Dynamics of elastic media; Elasticity; Fourier transform; Fundamental solution; Hyperbolic equations; Generalized functions; Lacuna (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-32-9531-5_5

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DOI: 10.1007/978-981-32-9531-5_5

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