二维自由拉格朗日方法——计算流体弹塑性侵彻问题

A TWO DIMENSIONAL FREE LAGRANGE METHOD FOR ELASTIC-PLASTIC PENETRATION PROBLEMS

1.引言传统的拉格朗日方法用于计算一维、二维和三维多层介质可压缩流问题是行之有效的,但它不宜于计算具有大变形的流动,尽管作了许多改进,例如网格重分,引入滑移线等,网格扭曲仍然是传统的拉格朗日方法的难点。自由拉格朗日方法(Free Lagrange Method)首先由W.P.Crowley于1970年发表,该方法(简称FLM)指出了灵活处理网格扭曲的一种可能途径。它的最大的优越性就在于每次循环通过连接最近的邻居质团可以使网格得到优化,积分回路总可以选作一个凸的闭合回路,从而避免通常附加的网格扭曲.

The Free Lagrange Method (FLM) is used for the computation of hydro-elastic-plastic flow, in which the elastic and perfect plastic material constitutive relations are adopted. The numerical simulation of penetration models shows that the FLM is more flexible than the traditional Lagrange method, and the numerical results have good coincidence with experiments.