An Elastodiffusive Orthotropic Euler–Bernoulli Beam Considering Diffusion Flux Relaxation

Author:

Tarlakovskii Dmitry,Zemskov Andrei

Abstract

This article considers an unsteady elastic diffusion model of Euler–Bernoulli beam oscillations in the presence of diffusion flux relaxation. We used the model of coupled elastic diffusion for a homogeneous orthotropic multicomponent continuum to formulate the problem. A model of unsteady bending for the elastic diffusive Euler–Bernoulli beam was obtained using Hamilton’s variational principle. The Laplace transform on time and the Fourier series expansion by the spatial coordinate were used to solve the obtained problem.

Funder

Russian Foundation for Fundamental Investigations

Publisher

MDPI AG

Subject

Applied Mathematics,Computational Mathematics,General Engineering

Reference33 articles.

1. 2D Problem for a Half-Space under the Theory of Fractional Thermoelastic Diffusion;Afram;Am. J. Sci. Ind. Res.,2014

2. Generalized Thermoelastic Diffusion with Effect of Fractional Parameter on Plane Waves Temperature-Dependent Elastic Medium;Atwa;J. Mater. Chem. Eng.,2013

3. Thermal and diffusion‐induced stresses in crystalline solids

4. Mechanical loads on a generalized thermoelastic medium with diffusion

5. Generalized thermoelastic diffusion problem for an infinitely long hollow cylinder for short times

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