随动强化材料薄壳结构的双稳态力学分析

Mechanical Behaviors of Bi-Stable Kinematic Hardening Thin-Shell Structure

选取各向同性材料作为研究对象,并假定该材料为弹-幂次随动强化材料.采用增量理论并编制迭代程序计算得到柱壳变形过程中的应力分布及应变能,当柱壳应力达到平衡时应变能有极小值.通过分析得到了柱壳的两个应变能极小值,故而柱壳存在两个稳定状态.试验结果进一步证实了柱壳为双稳态结构.

The isotropic material assumed elastic-power kinematic hardening was investigated. The iterative program with increment theory is used to calculate the stress and strain energy of the cylindrical shell during bending. The strain energy is minimal when it equilibrates. The cylinder shell is bi-stable because its strain energies have two local minima. The experimental results further prove that it is a bi-stable cylindrical shell.