受压构件本构失稳的折迭突变模型

The fold catastrophe model of constitutive failure in compression post

材料或构件本构失稳问题的类型可归结为突变理论中的折迭突变。从高强度素混凝土轴心受压构件的本构关系曲线表达出发导得的折迭突变模型可以给出构件的脆坏判据对构件的延性和脆性破坏路径作类似于几何稳定问题的后屈曲分析。建模时按实际将试验机刚度作为有限量而得到的加载参数能量输入率可正确地描述构件本构关系曲线弱化段的系统稳定性。计算了混凝土棱柱体脆坏对加载装置造成的荷载效应。

The problem of constitutive failure of materials and members belongs to the fold catastrophe in the catastrophe theory. The fold catastrophe model, which is deduced from the curve expression of the constitive relationship of the axially compressed plain, concrete member, can give the brittle failure criterion of the members, and analyze the postckling behavior of ductility and brittle failure paths of the members. In establishing this model, the stiffness of test machine was taken as finite value according to the reality, thus the loading parameter-the energy input rate was obtained. Therefore the system stability in the weakened section of the load-displacement curve of concrete members can be correctly described. Lastly, the load effect to loading device caused by the brittle failure of concrete members was calculated.