A Study of the Waves Processes in Inhomogeneous Cylindrical Waveguides

DOI10.1007/978-3-030-49763-7_21zbMath1496.74076OpenAlexW3118284027MaRDI QIDQ5013612

V. O. Yurov, A. O. Vatul'yan

Publication date: 2 December 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-49763-7_21

zbMATH Keywords

Fourier transforminverse problemCauchy problemboundary element methodhypersingular kernelsystem of integral equationsannular delamination

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Inhomogeneity in solid mechanics (74E05) Linear waves in solid mechanics (74J05) Inverse problems for waves in solid mechanics (74J25)

Cites Work

• Simulation of elastic guided waves interacting with defects in arbitrarily long structures using the scaled boundary finite element method
• A polynomial approach to the analysis of guided waves in anisotropic cylinders of infinite length
• On the inverse problem of identifying Lamé coefficients in linear elasticity
• Transient waves in an inhomogeneous hollow infinite cylinder
• Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters

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