(1. 南昌大學 建筑工程學院，南昌 330031；
2. 福州大學 土木工程學院，福州 350002)
摘 要: 通過考慮十二面體單元三個主剪面應力對的共同作用，提出了材料的三剪屈服準則，其特點是通過改變準則中的中間主應力效應參數b就能精確表達常用的Tresca屈服準則、Mises屈服準則和Mohr-Coulomb強度準則。另外，還應用該準則分析了理想彈塑性薄壁圓筒、厚壁圓筒和厚壁球殼的極限內壓問題，以往基于Mohr-Coulomb強度準則、Tresca屈服準則和Mises屈服準則的解均為其特例。結果表明，中間主應力效應參數b和拉壓屈服極限比α對薄壁圓筒和厚壁圓筒的極限內壓均有影響，但對厚壁球殼而言，僅α對其極限內壓有影響。
關鍵字: 三剪屈服準則；主剪面應力對；極限內壓；圓筒；球殼
limit pressures for thin and thick wall cylinders and
thick wall spherical shells
（1. School of Civil Engineering and Architecture, Nanchang University,Nanchang 330031, China;
2. School of Civil Engineering, Fuzhou University, Fuzhou 350002, China）
Abstract:By taking account of the actions of the whole three principal shear stresses acting on the dodecahedron element, a triple-shear yield criterion for materials was proposed. This criterion gives a unified yield expression to describe the several common used criteria such as the Tresca yield criterion, the Von Mises yield criterion and the Mohr-Coulomb failure criterion, through changing its intermediate principal stress effect parameter b. In spite of that, problems of the limit inner pressures for the perfect elasto-plastic thin and thick wall cylinders and the thick wall spherical shells were analyzed and the new unified solutions were deduced. The old solutions based on the Tresca yied criterion, the Von Mises yield criterion and the Mohr-Coulomb failure criterion were only the special cases. Detail analyses on the new solutions show that both the intermediate principal stress effect parameter b and the tensile/compressive yield limit ratio α have influences on the limit pressures for the thin wall and thick wall cylinders. But for the thick wall spherical shells, only the ratio α has.
Key words: triple-shear yield criterion; stress couples acting on the principal shear planes; limit pressure; wall cylinder; wall spherical shell
