Wave motion in a thick cylindrical rod undergoing longitudinal impact

DOI10.1016/j.wavemoti.2016.05.007zbMath1467.74054OpenAlexW2416816156MaRDI QIDQ2186183

J. Cerv, F. Vales, D. Gabriel, V. Adamek, Jiří Plešek

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.05.007

zbMATH Keywords

analytical solutionimpactelastic wavessemi-analytical solutionthick cylindrical rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integral representations of solutions to PDEs (35C15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Investigating the Taylor impact problem of an elastic rod using the Rayleigh-Love rod theory

Cites Work

• On the use of some numerical damping methods of spurious oscillations in the case of elastic wave propagation
• Dispersion of elastic waves in the contact-impact problem of a long cylinder
• Benchmark problems for wave propagation in elastic materials
• Complex wavenumber Fourier analysis of the B-spline based finite element method
• Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media
• Numerical damping of spurious oscillations: a comparison between the bulk viscosity method and the explicit dissipative Tchamwa-Wielgosz scheme
• Impact of two elastic cylinders: Short-time solution
• Numerical methods for Laplace transform inversion
• Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics
• Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm
• Multi-precision Laplace transform inversion
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