Diffusion-induced stresses in hollow cylinders for transient state conditions

Diffusion-induced stresses in hollow cylinders were investigated. Both diffusion processes of constant surface concentration source from outer into inner surfaces (case A) and reverse case (case B) were studied. We derived the mathematical model of transport property and calculated the radial stress, tangential stress, axial stress and the maximum shear stress for zero axial force. For case A, the radial stress is tensile stress for all times. The maximum tensile stress of radial stress is located at the region near inner surface. The tangential stress and axial stress are tensile stresses in the region near the inner surface and compressive stresses near the outer surface for all times. The maximum compressive stress of tangential stress and axial stress are located at the region near outer surface. The maximum shear stress is tensile stress in the region near the inner surface and compressive stress near the outer surface. On the contrary, for case B, The radial stress, tangential stress, axial stress and the maximum shear stress are opposite.