拉氏分析方法及强动荷载下水泥石的本构关系

Lagrangian Analysis Method and Constitutive Relation of Cement Stone on Intense Dynamic Loading

拉格朗日（简称拉氏）分析方法是本世纪７０年代初提出的研究材料动态行为性能的一种新方法。本文对拉氏分析方法的基本原理作了简要介绍，通过在轻气炮上测量到的多组水泥石动态应力时间历程曲线，利用拉氏分析方法中的曲面拟合法对实测应力波形进行数值模拟，得到了水泥石大量本构关系曲线，并分析了本构关系的物理特征。

Lagrangian analysis is a new method brough forth in the early 70's of the 20th century used to study material dynamic behaviour property. This paper introduces the basic principle of Lagrangian analysis method in brief. By measuring a series of sire ss-time curves of cement stone with light gas gun and making numerical simulation by way of curved surfacefitting, a large number of constitution relation curves of cement stone were obtained. The paper analyzes the physical properties of constitution relation.