Diffusion-induced stresses in a long bar under an electric field

Diffusion-induced stresses in a long bar with a square cross section under an electric field are calculated. We obtain in advance analytical solutions of the concentration, then with these results, the diffusion-induced stresses are also calculated analytically by introducing the displacement potential and Airy stress function. The results show that the electric field can depress the stresses and deviate the positions of local maximum stresses, and these effects are more apparent at short times than at long times.