Quasi-static mechanical behaviour of rotating saturated porous shafts based on the first-order shear deformation theory

Abstract

This study investigates the quasi-static mechanical behaviour of shafts composed of saturated porous materials under angular velocity. The porosity is assumed to be uniform, and the structure is considered to be undrained. Biot's constitutive equations were employed to establish the relationship between stresses and strains. Based on the first-order shear deformation theory (FSDT) and the principle of virtual work, the governing equations of the problem were derived. An analytical solution of the equations was obtained using the eigenvalue and eigenvector method under clamped-clamped boundary conditions. The influence of different parameters such as the porosity coefficient, Skempton's coefficient, and angular velocity on the mechanical behaviour of the shafts was examined. The results indicate that both the porosity coefficient and angular velocity significantly influence the mechanical behaviour of the shafts. It was also observed that the axial stress increase with an increase in Skempton's coefficient. Skempton's coefficient has a negligible effect on the displacements and on the radial, circumferential, and shear stresses.