无耦合条件下的多子系统静动态统一本构关系(下)--铝的双子系统静动态统一本构模型

构造了标量形式的无耦合条件下双子系统静动态统一本构模型.推导出第1和第2子系统中加载应变速率临界值ε·c1和ε·c2,当应变速率ε·分别低于和高于某个临界值时,相应子系统中的不可逆行为分别是与时间无关的和与时间相关的.由于当ε·跨越ε·c1和ε·c2时,内变量的求解公式发生变化,所以动态强度随ε·变化的规律发生变化.经与铝的实验结果比较确认,本构模型能够描述材料的多种静动态力学行为.

Unified static and dynamic constitutive relations with multi-subsystems,part II:static-dynamic constitutive model with two subsystems

The idea of synchronization is introuduced. According to whether the internal variables are synchronous or not, all internal variables are grouped, and a subsystem structure is then obtained for the whole system. The judgement criterion for the satisfaction of the consistency condition in each subsystem is proven when there is no coupling among these subsystems. Therefore, unified evolution equations for the time-dependent and time-independent behavior and loading-unloading criterion within each subsystem are obtained. The constitutive relation can be applied to static and dynamic loading. The classic plastic constitutive relation, multi-yield surface constitutive relation and over-stress viscoplastic constitutive relation are a special example of this constitutive relation.