采用弱耦合方法对激波作用下固体火箭发动机含缺陷药柱的流固耦合相互作用进行数值模拟。其中非定常流场采用基于任意拉格朗日一欧拉坐标系下的二维可压缩Euler方程进行描述,并采用格心格式的有限体积方法对方程进行离散求解;对激波冲击作用下含装药裂纹的固体位移场采用时域间断Galerkin扩展有限元法进行数值模拟,并对裂纹尖端动态应力强度因子进行计算。结果表明:激波在固体火箭发动机内装药裂缝传播过程中具有反射、绕射等现象,表现出高度非定常非线性的特点;同时流固耦合相互作用使得裂纹尖端位移场以及应力强度因子表现出振荡效应。
A loosing coupling strategy was adopted to simulate the propellant of the solid rocket motor. Pres- sure field was computed by solving the 2-D time-dependent Euler equations within an arbitrary Lagrangian- Eulerian (ALE) framework and the cell-centered finite volume scheme. The time discontinuous Galerkin ex- tended finite element method is implemented to simulate the dynamic response in solid phase under the shock waves. The stress intensity factor was also calculated in the solid field subjected to the impulse loading. The results show that the propagation process of the shock wave in the crack displays highly nonlinear characteris- tics of reflection and diffraction. Both the displacement field and the stress intensity factor show oscillation effects under the coupled fluid-structure interaction.