厚壁圆筒安定问题的统一解析解

采用双剪统一强度准则对理想弹塑性材料的厚壁圆筒进行安定性分析，得出了厚壁圆筒加载应力、残余应力及安定极限压力的统一解析解。所得的解不仅能包含以往基于Tresca准则、Mohr—Coulomb准则和广义双剪准则的结果，而且给出一系列新的结果。这些结果能考虑材料的拉压强度差效应及中间主应力效应，因而适应于多种材料。最后，利用所得的解研究了材料的中间主应力效应和拉压强度差效应对厚壁圆筒安定极限压力的影响。结果表明：当考虑材料的拉压强度差效应及中间主应力效应时，厚壁圆筒安定极限压力将明显提高。

UNIFIED ANALYTICAL SOLUTION TO SHAKEDOWN PROBLEM OF THICK-WALLED CYLINDER

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 gener- alized 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.