Abstract We analyzed the uniaxial impact compression due to different strain rates on frozen soil specimens at different temperatures using split-Hopkinson pressure bar (SHPB) and obtained the dynamic stress–strain curves under the corresponding conditions. The experimental results showed that the dynamic mechanical behavior of frozen soil under impact loading shows an obvious strain-rate effect and temperature effect, as well as obvious elastic-viscoplastic deformation characteristics. Furthermore, the dynamic stress–strain curves of frozen soil showed instability with the evolution of internal micro-cracks, micro-voids, and shear bands in frozen soil. The dynamic mechanical behavior of frozen soil was described by introducing an advanced rate-dependent continuous damage evolution model and an elastic-viscoplastic constitutive model based on the Chaboche unified viscoplastic constitutive theory and using the Drucker–Prager yield criterion. To obtain a numerical solution of the elastic-viscoplastic constitutive equation, the constitutive equation was discretized into an incremental form by Euler's method, and the closest point projection algorithm was used as the numerical integral to update the stress state during the deformation process of frozen soil. The constitutive model was numerically solved, and the theoretically calculated curves agreed well with the experimentally measured curves. Thus, we verified the rationality and applicability of the uniaxial dynamic constitutive model constructed for this study and developed its numerical integral algorithm.

中文翻译：

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单轴冲击载荷作用下冻土的损伤和弹粘塑性本构模型及其数值实现

摘要 我们利用分裂霍普金森压力棒（SHPB）分析了不同温度下冻土试样在不同应变率下产生的单轴冲击压缩，并获得了相应条件下的动态应力-应变曲线。试验结果表明，冲击载荷作用下冻土的动力力学行为表现出明显的应变率效应和温度效应，以及明显的弹粘塑性变形特征。此外，随着冻土内部微裂缝、微空隙和剪切带的演变，冻土的动态应力-应变曲线表现出不稳定。通过引入先进的速率相关连续损伤演化模型和基于 Chaboche 统一粘塑性本构理论并使用 Drucker-Prager 屈服准则的弹-粘塑性本构模型来描述冻土的动态力学行为。为得到弹粘塑性本构方程的数值解，利用欧拉法将本构方程离散为增量形式，并采用最近点投影算法作为数值积分更新冻土变形过程中的应力状态。 . 对本构模型进行了数值求解，理论计算曲线与实验测量曲线吻合良好。因此，