弯矩与外压联合作用下圆柱壳的弹塑性初始后屈曲分析

本文基于 Hutchinson 弹塑性初始后屈曲理论,在材料模型为线性强化规律的条件下,分析了弯矩与外压联合作用下圆柱壳的弹塑性初始后屈曲,导出了后屈曲展开式中两个主要初始参数δ和λ_2[见(8)式]。算例表明该情况下后屈曲路径存在有极值点,因此屈曲载荷对缺陷是敏感的。     

弯矩与外压共同作用下圆管的非线性弹性稳定性

本文在文献[1]的基础上,抛弃了圆管中面环向应变等于零的假定,进一步研究了长圆管在弯矩与外压共同作用下的非线性弹性稳定性。在理论上比 S.Kyriakides 等人的研究深入了一步。通过大量数值计算得到了弯矩-压力临界状态曲线。     

NONLINEAR ELASTIC STABILITY OF CIRCULAR TUBE UNDER COMBINED BENDING AND EXTERNAL PRESSURE

On the basis of S. Kyriakides' findings, the assumption considering that the mid-surface of the tube is inextensible is abandoned in this paper and the nonlinear elastic stabittty of long circular tube under combined bending and external pressure is further investigated. This paper provides more refined results than S. Kyriakides' work. Through a lot of numerical calculations, the beading moment-pressure diagram at critical state is obtained.