Elastic analysis of rotating thick cylindrical pressure vessels made of saturated porous materials under non-uniform internal pressure

Purpose This paper aims to investigate the stress and displacement analysis of rotating thick cylindrical pressure vessels made of saturated porous materials under nonuniform internal pressure. Design/methodology/approach Biot’s theory was applied to analyze the mechanical response instead of Hooke’s constitutive equations. Applying the virtual work principle and first-order shear deformation theory, the governing equations of the problem have been derived. Using the eigenvalue-eigenvector method, the governing equations have been solved for clamped-clamped boundary conditions. Findings The effects of various parameters such as porosity coefficient, Skempton coefficient and rotational velocity on stresses and displacements of the cylindrical pressure vessels have been studied. The results show that by increasing the porosity coefficient and rotational velocity, axial displacement is increased, but by increasing the Skempton coefficient, axial displacement remains constant. Practical implications Porous materials are materials that have good energy absorption and light weight compared to ordinary materials. Hence, these materials can have various applications in the industry. Originality/value To the best of the authors’ knowledge, elastic analysis of thick cylindrical pressure vessels made of saturated porous materials subjected to rotating and nonuniform internal pressure has not been performed.