A two-dimensional nonstationary problem of elastic diffusion for an orthotropic one-component layer

DOI10.1134/S1995080217050146zbMath1469.74018OpenAlexW2755382055MaRDI QIDQ1682796

L. A. Igumnov, A. V. Zemskov, D. V. Tarlakovskii

Publication date: 6 December 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217050146

zbMATH Keywords

Fourier transformLaplace transformGreen functionmass transfer equationcoupled non-stationary problemsFourier series solution

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Elastic materials (74B99)

Related Items (6)

Modeling of elastic-diffusion vibrations of a hinged Timoshenko plate under the action of a distributed surface load;Моделирование упругодиффузионных колебаний шарнирно опертой пластины Тимошенко под действием распределенной по поверхности нагрузки ⋮ Modelling of rectangular Kirchhoff plate oscillations under unsteady elastodiffusive perturbations ⋮ Unsteady elastic diffusion vibrations of an orthotropic rectangular Kirchhoff-Love plate considering a diffusion fluxes relaxation ⋮ Mechanodiffusion of multicomponent continuum under the action of unsteady volume perturbations ⋮ Three-dimensional non-stationary motion of Timoshenko-type circular cylindrical shell ⋮ Bulk Green's functions in two-dimensional coupled unsteady problems of elastic diffusion for orthotropic continuum

Cites Work

• Iterative methods for solving seepage problems in multilayer beds in the presence of a point source
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