高速碰撞中Lagrange有限元方法及其应用

根据连续介质力学守恒方程和有限元离散方法，针对三维高速碰撞现象的特性，应用瞬时最小闰能原理，完整地推导了高速碰撞有限元基本列式和离散方程，并给出了高速碰撞问题的中心差分求解算法，讨论了非线性Ｌａｇｒａｎｇｅ动力有限元程序数值计算中应重视的问题，本文给出的典型算例说明本方法对高速碰撞问题分析的有效性。

Lagrangian Finite Element Method and Its Application in High Velocity Impact Phenomena

Based on finite element discreteness method of continuous mechanics conservation equations, this paper establishes three dimensional finite element formulations and discretized equations in high velocity impact phenomena. The principle of instant minimum position energy is applied. The numerical solution procedure of the centeral different method is presented. Several questions of dynamic Lagrangian nonlinear FEM computation in high velocity impact phenomena are discussed. The classic example in this paper shows that the approach is very valid to numerical analyses in high velocity impact question.