建立了柔性材料桙钢复合壳体在爆炸载荷作用下应力波传播问题的完备方程组；使用有限元方法完成 了对复合壳体在爆炸载荷作用下应力波传播规律的系列数值模拟，并着重讨论了不同炸药层和柔性材料层厚度 对柔性材料与钢交界面载荷的影响。

In this paper, on the basis of the constitutive relation theory which includes inner variables, with the general explicit description of incremental strain thermal-plastic constitutive relations and the specific incremental thermal-plastic constitutive relations, combining the simulation of X ray load and the tube responsing problem which is greatly important in practice, the self-contained equation group about the stress wave in the flexible material_steel composite shell problem is developed. Numerical simulations are carried out with the presented constitutive relations for explosive-filled sphere fracture problem and the results are analyzed.  The thickness of explosive and flexible material that influences the load of the interface is discussed emphatically.