Geodesic
Model of bending of an orthotropic cantilever beam of Bernoulli--Euler under the action of~unsteady thermomechanodiffusion loads
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 682-700

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The study investigates the interaction of mechanical, thermal, and diffusion fields during nonstationary bending of a cantilevered beam. The mathematical formulation of the problem is based on a system of equations describing nonstationary flexural vibrations of a Bernoulli–Euler beam, accounting for heat and mass transfer. This system is derived from the general thermomechanodiffusion model for continuum media using the generalized principle of virtual displacements. The research assumes a finite velocity of thermal and diffusive perturbation propagation. The interaction of mechanical, thermal, and diffusion fields is analyzed using a cantilevered three-component beam composed of a zinc–copper–aluminum alloy under the action of a nonstationary load applied to its free end.
Keywords: thermomechanical diffusion, Green's function, equivalent boundary conditions method, unsteady problems
Mots-clés : Bernoulli–Euler beam, console 
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     title = {Model of bending of an orthotropic cantilever beam of {Bernoulli--Euler} under the action of~unsteady thermomechanodiffusion loads},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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A. V. Zemskov; V. H. Le; D. O. Serdyuk. Model of bending of an orthotropic cantilever beam of Bernoulli--Euler under the action of~unsteady thermomechanodiffusion loads. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 682-700. http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a3/