Unsteady coupled elastic diffusion processes in an orthotropic cylinder taking into account relaxation of diffusion fluxes

DOI10.3103/S1066369X2201008XzbMath1506.74058OpenAlexW4312363472MaRDI QIDQ2112318

A. V. Zemskov, N. A. Zverev, D. V. Tarlakovskii

Publication date: 10 January 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x2201008x

zbMATH Keywords

Laplace transformanalytical solutionFourier seriesGreen functionBessel functionpolar-symmetric problemsurface elastodiffusive perturbation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Elastic materials (74B99)

Cites Work

• The influence of diffusion on generalized thermoelastic problems of infinite body with a cylindrical cavity
• Generalized thermoelastic diffusion problem for an infinitely long hollow cylinder for short times
• Two-dimensional generalized thermoelastic diffusion in a half-space under axisymmetric distributions
• Mechanical loads on a generalized thermoelastic medium with diffusion
• A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion
• Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion
• Propagation of cylindrical Rayleigh waves in a transversly isotropic thermoelastic diffusive solid half-space
• Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids
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