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在Ｂｏｄｎｅｒ－Ｐａｒｔｏｎ粘塑性本构理论的基础上，以损伤量为内变量建立了含损伤材料的本构方程，损伤演化方程同时考虑了应力成该机理和应变成核机理。以一维应变波引起的层裂现象的数值计算为例，讨论了靶板中应力波的传播以及自由面因层裂而引起的应力波形和速度波形的主要特征。研究表明，通过数值模拟可以对冲击载荷作用下材料的损伤及层裂作出有效的预测。
Based on the Bodner-Parton visco-plastic constitutive theory, a constitutive equation with damage material is established by using the damage quantity as internal variable. The damage evolution equation considers both the stress mechanism and the strain nucleation mechanism. Taking the numerical calculation of the delamination caused by one-dimensional strain wave as an example, the main characteristics of the stress waves and the stress waveforms of the free surface due to the delamination are discussed. The results show that the numerical simulation can effectively predict the material damage and delamination under impact load.