脆性材料动态破坏过程的数值模拟

根据连续介质力学基本原理和离散元法基本思想，针对脆性材料动态破坏过程问题，推导出基于圆盘单元的正交各向异性离散元二维计算模型，并利用此模型计算了各向异性薄板在冲击载荷下的应力波传播问题。通过将计算结果与LS－DYNA程序相比较，表明了本文提出的离散元模型的精确性。另外，对钢弹侵彻下滑凝土圆板破坏过程这个典型的发生连续介质向非连续介质转化的动力学问题进行了数值模拟和动画显示，并同侵彻实验中出现的几种破坏形式进行了分析和对比，从而证明了本计算方法是计算和模拟脆性材料出现从连续介质向非连续介质转变的动态破坏问题的有力工具。

Numerical simulation for the dynamic failure process in brittle materials

An algorithm based on the basic principles of continuum mechanics and the primary idea of the DEM was developed for calculating the dynamic damage process of brittle media. The wave propagation in an orthotropic plane under impact loadings was numerically simulated, by using this algorithm. Comparing its results with those by LS\|DYNA, the accuracy of this algorithm was presented. Moreover, the failure process of a steel bullet penetrating a concrete circular plane was demonstrated, which presented the dynamic transitional process from continuum to non\|continuum. Several different fundamental damage forms simulated by using this algorithm were discussed, comparing the results with the penetration experiments. The two numerical examples above prove that this algorithm is powerful and efficient for simulating the dynamic failure problems accompanying with the transition from continuum to non\|continuum.