(1. 南昌大学 建筑工程学院，南昌 330031；
2. 福州大学 土木工程学院，福州 350002)
摘 要: 通过考虑十二面体单元三个主剪面应力对的共同作用，提出了材料的三剪屈服准则，其特点是通过改变准则中的中间主应力效应参数b就能精确表达常用的Tresca屈服准则、Mises屈服准则和Mohr-Coulomb强度准则。另外，还应用该准则分析了理想弹塑性薄壁圆筒、厚壁圆筒和厚壁球壳的极限内压问题，以往基于Mohr-Coulomb强度准则、Tresca屈服准则和Mises屈服准则的解均为其特例。结果表明，中间主应力效应参数b和拉压屈服极限比α对薄壁圆筒和厚壁圆筒的极限内压均有影响，但对厚壁球壳而言，仅α对其极限内压有影响。
关键字: 三剪屈服准则；主剪面应力对；极限内压；圆筒；球壳
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
