Abstract: Shakedown analysis of a thick-walled cylinder of elastic-perfectly plastic material is presented in terms of the twin-shear unified criterion. The unified analytical solutions of the loading stress fields, the residual stress fields and the shakedown limit pressure of the thick-walled cylinder are derived. The present solutions not only include the results from the Tresca criterion, the Mohr-Coulomb criterion and the generalized twin-shear criterion but also give a series of new results which can take account of the intermediate principal stress effect and the strength-difference effect and are suitable for many kinds of materials. Finally, the influences of the intermediate principal stress and the strength-difference on the shakedown limit pressure of the thick-walled cylinder are investigated by the present solution. Results show that the shakedown limit pressure increases if the intermediate principal stress effect and the strength-difference effect are considered.

Key words: Shakedown analysis, Thick-walled cylinder, Twin-shear unified strength criterion, Unified analytical solutions