Dynamic strain aging hugely affects the microstructural mechanical behavior of metallic materials when activated. It has been extensively reported in the literature that the dynamic strain aging causes significant gaps between model predictions and experimental measurements. Without considering this phenomenon, a constitutive model is unable to accurately capture the material behavior when it is active. The new constitutive model for hexagonal close-packed metals is developed in this work to predict the dynamic strain aging-induced hardening based on the probability function. The proposed model consists of three elements, i.e. dynamic strain aging-induced flow stress as well as thermal and athermal flow stresses. Physically motivated derivation of all the three elements is presented. The proposed model is applied to pure hexagonal close-packed titanium under quasi-static loading ($\dot{\epsilon }=0.001/s$ and $\dot{\epsilon }=0.1/s$) to dynamic loading ($\dot{\epsilon }=2200/s$ and $\dot{\epsilon }=8000/s$) across a broad range of temperatures ($77-1000K$).

动态应变时效在激活时会极大地影响金属材料的微观结构力学行为。在文献中已广泛报道动态应变时效会导致模型预测和实验测量之间的巨大差距。如果不考虑这种现象，则本构模型无法在活动状态下准确捕获材料行为。在这项工作中，开发了六角密堆积金属的新本构模型，以基于概率函数预测动态应变时效引起的硬化。所提出的模型包括三个要素，即动态应变时效引起的流动应力以及热和非热流动应力。提出了所有这三个要素的体育动机。$\dot{\epsilon }=0.001/s$ 和 $\dot{\epsilon }=0.1/s$）到动态加载（$\dot{\epsilon }=2200/s$ 和 $\dot{\epsilon }=8000/s$）的温度范围很广（$77-1000ķ$）。