Effect of diffusion-induced bending on diffusion-induced stress near the end faces of an elastic hollow cylinder

摘要

Diffusion-induced stress play an important role in determining structural integrity of mechanicalstructures used in lithium-ion batteries and microelectromechanical devices. Incorporatingthe diffusion-induced bending in the analysis of the diffusion-induced stress in an elastic hollowcylinder, analytical forms of the diffusion-induced resultant axial stress and hoop stress have beenformulated for the traction-free condition and the built-in condition at the end faces of the cylinder.Using these results, the evolution of the diffusion-induced stress at the end faces of a hollow, elasticelectrode due to the insertion of lithium is discussed under the potentiostatic operation. The endfaces of the electrode experiences compressive hoop stress through the thickness in contrast to thestress state in the hollow cylinder far away from the end faces. The magnitude of the resultant hoopstress decreases with increasing the diffusion time for the traction-free end faces; and it increaseswith increasing the diffusion time for the built-in end faces.