Model of bending of an orthotropic cantilever beam of Bernoulli–Euler under the action of unsteady thermomechanodiffusion loads

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.