• 动力损伤理论

    分别在损伤子空间和塑性子空间中考虑材料的应变率效应。

    损伤子空间理论

    塑性子空间理论

参考论文：

1. Ren X, Zeng S, Li J. A rate-dependent stochastic damage–plasticity model for quasi-brittle materials[J]. Computational Mechanics, 2015, 55(2): 267-285.
2. Li J, Huang Q, Ren X. Dynamic Initiation and Propagation of Multiple Cracks in Brittle Materials[J]. Materials, 2013, 6(8): 3241-3253. 
3. Ren X, Li J. A unified dynamic model for concrete considering viscoplasticity and rate-dependent damage[J]. International Journal of Damage Mechanics, 2013, 22(4): 530-555.
4. 李杰,曾莎洁,任晓丹.混凝土动力随机损伤本构关系[J].同济大学学报(自然科学版),2014,12:1783-1789.
5. 李杰,任晓丹,黄桥平.混凝土黏塑性动力损伤本构关系[J].力学学报,2011,01:193-201.