图  1  一维应力状态下$ \gamma $与$ \dot \varepsilon $之间的关系

Figure  1.  $ \gamma $ versus $ \dot \varepsilon $ under 1D-stress state

图  2  应力状态随应变率提高的演化过程^[23]

Figure  2.  Evolution of stress state with the increase of strain-rate ^[23]

图  3  一维应变路径下花岗岩准静态和动态强度^[10]

Figure  3.  Quasi-static and shock strength of Granite under 1D-strain path ^[10]

图  4  一维应变状态下$ \gamma $与$ \dot \varepsilon $之间的关系^{[10, 42]}

Figure  4.  $ \gamma $ versus $ \dot \varepsilon $ under the 1D-strain state^{[10, 42]}

图  5  不同围压状态下动态强度提高系数与应变率之间的关系^[44,47]

Figure  5.  Dynamic increase factor versus strain rate under the given confining pressure ^{[44, 47]}

图  6  混凝土类材料在多维应力状态下的动态压缩强度提高系数

Figure  6.  The multi-axial dynamic increase factor model of strain-rate effect on compressive strength of concrete-like material

图  7  已有材料模型对动态强度提高系数的修正

Figure  7.  The correction on the dynamic increase factor in existed material models

图  8  不同加载路径下数值霍普金森杆实验示意图

Figure  8.  The illustration of NSHPB test setup for different loading path

图  9  应变率282 s⁻¹加载下试件应力分量与轴向应变的关系曲线

Figure  9.  The stress components versus axial strain at strain-rate of 282 s⁻¹

图  10  试件应力三轴系数云图

Figure  10.  The contour of stress triaxiality within the specimen

图  11  $ \gamma $和$ \eta $随应变率提高的演化趋势

Figure  11.  The evolution of $ \gamma $and $ \eta $ with the increase of $ \dot \varepsilon $

图  12  基于不同模型的数值霍普金森杆实验预测结果及与实验数据的对比

Figure  12.  The predicated dynamic increase factor based on different models and comparison with test data

图  13  试件准静态状态方程和偏应力强度^[42]

Figure  13.  The quasi-static EoS and deviatoric strength of sample^[42]

图  14  数值霍普金森杆结果与实验数据的对比

Figure  14.  The comparison between NSHPB results and test data

图  15  试件在环向约束下数值霍普金森杆实验示意图

Figure  15.  Illustration of NSHPB for sample with confinement

图  16  准静态围压实验测定的试件状态方程和偏应力强度^[44]

Figure  16.  The measured quasi-static equation of state and deviatoric strength of sample ^[44]

图  17  数值霍普金森杆实验预测的典型变量演化过程

Figure  17.  The evolution of typical variables predicated in a NSHPB test

图  18  数值霍普金森杆预测结果及与实验数据的对比

Figure  18.  The predication results in NSHPB test and comparison with test data