The method of ray expansions for investigating transient wave processes in thin elastic plates and shells

DOI10.1007/S00707-006-0412-XzbMath1146.74021OpenAlexW2076127665MaRDI QIDQ876571

Marina V. Shitikova, Yury A. Rossikhin

Publication date: 19 April 2007

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-006-0412-x

zbMATH Keywords

recurrent equationsTimoshenko theoryshear wave

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Plates (74K20) Shells (74K25)

Related Items (1)

The method of ray expansions for solving boundary-value dynamic problems for spatially curved rods of arbitrary cross-section

Cites Work

• A refined nonlinear theory of plates with transverse shear deformation
• A ray method of solving problems connected with a shock interaction
• The ray method for solving boundary problems of wave dynamics for bodies having curvilinear anisotropy
• The impact of a rigid sphere with an elastic layer of finite thickness
• Note on wave propagation in linearly viscoelastic media
• Dynamic Stability of an Elastic Cylindrical Shell Being in External Contact With an Elastic Isotropic Medium With Respect to Nonstationary Excitations
• Vibrations of short beams
• Shear Deformation in Heterogeneous Anisotropic Plates
• Nonstationary Rayleigh waves on the thermally-insulated surfaces of some thermoelastic bodies of revolution

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