中文摘要：

选用密度为1.8 g/cm^3、饱和度为22%的重塑黄土作为应力波传播介质,在其中心处安装0.125 g TNT当量微型炸药球,建立起了尺度为Ф1370 mm×1200 mm的球面波发生装置。在重塑黄土样品中心圆形环面上布设多根圆环形电磁粒子速度计,测量了一系列粒子速度波形。为研究重塑黄土样品粘弹性区域的本构关系,为有限元数值模拟提供可靠的数据支持,以实测粒子速度波形为基础,使用Lagrange分析方法对该区域的应力-应变关系展开了研究。该文详细介绍了一维球对称条件下Lagrange分析方法的理论推导及求解过程,对实测粒子速度波形运用Lagrange分析方法计算了对应的应变、应力及应变率波形,得到了各量计安装位置处,重塑黄土完整的压缩、拉伸全过程应力-应变滞回曲线。并对Lagrange分析方法使用中遇到的问题提出了几点认识。

英文摘要：

A spherical stress wave generator was developed, which included a central initiating explosive charge designed in the shape of a mini-spherical with yield equivalent to 0.125 g TNT. The scale of the generator was Φ1370 mm×1200 mm. The propagation medium of the stress wave for this generator was the remolding loess whose density is 1.8g/cm^3, the degree of saturation is 22%. The circular electromagnetic particle velocity gages were directly embedded into the remolding loess on the central plane to measure the particle velocity profiles generated by explosion. In order to supply the reliable supporting data to the FEM numerical simulation of underground explosion, the Lagrangian analysis to the particle velocity profiles was executed to obtaining the constitutive equations of the remolding loess in the viscoelastic zone. The theoretical derivation and solving process of Lagrangian analysis based on one dimension spherical symmetry were introduced in detail. The strain, stress and strain ratio profiles were obtained through Lagrangian analysis for a set of particle velocity profiles. The hysteresis curve of stress-strain to the loading and unloading processes was obtained. Some difficulties about how to establish path lines were discussed.