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选用密度为1.8 g/cm3、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。
As a stress wave propagating medium, a density of 1.8 g / cm3 and a saturation of 22% were used as the propagation medium of the stress wave. A 0.125 g TNT equivalent micro-sphere was installed at the center of the wall to establish a spherical wave with a scale of Ф1370 mm × 1200 mm Device. Multiple ring-shaped electromagnetic particle velocimeters were laid on the circular torus of the remolded loess sample center and a series of particle velocity waveforms were measured. In order to study the constitutive relation of the remolded viscoelastic region of loess samples and provide reliable data support for the numerical simulation of the loess, based on the measured particle velocity waveform, the stress-strain relationship in this region was studied by using Lagrange analysis method. In this paper, the theoretical derivation and solution of Lagrange analysis method under one-dimensional spherical symmetry conditions are introduced in detail. Lagrange analysis method is used to calculate the corresponding strain, stress and strain rate waveform of measured particle velocity waveform. , Reshaping the complete compression and elongation of loess stress-strain hysteresis curve. Some questions about the problems encountered in the use of Lagrange analysis are put forward.