给出了简明有效的塑性本构关系及其在数值计算中的应用，并利用所建立的本构关系对高能炸药在钢板表面接触爆炸时钢板中应力波的传播及所产生的层裂现象进行了数值分析．对钢板材料采用理想塑性、各向同性硬化、随动硬化、联合的各向同性－随动硬化等模型进行了系统数值计算，从而得出了材料塑性硬化行为对波传播和层裂规律的影响，并进行了相应的分析． The concise and effective plastic constitutive relation and its application in numerical calculation are given. The propagation of the stress wave and the delamination in the steel plate caused by the contact of high energy explosive on the steel plate surface are explored by using the established constitutive relation Numerical analysis. The plasticity of the steel plate material isotropically hardened, followed by hardening, combined isotropic - follow-up hardening and other models were systematically calculated, and the influence of material plastic hardening behavior on wave propagation and splitting law was obtained , And carried out the corresponding analysis.