依球面波粒子速度研究材料的本构关系

Constitutive relation using particle velocity data of spherical waves

材料的本构关系是研究应力波在材料中传播衰减规律的基础,拉格朗日方法可以通过几组实测数据得到材料的本构关系,是研究材料动态力学行为的常用方法。在适当假设下,利用拉格朗日反分析方法,对爆炸球面波实测数据进行处理,得到材料的动态应力应变关系曲线。给出了方程的主要推导过程,建立了利用径向粒子速度数据反演其他物理量的计算方法。分析和比较了有机玻璃和花岗岩的动力学特性。对粒子速度波形进行傅里叶变换得到其频谱曲线,讨论波传播过程中频波分量的变化对路径线构造的影响,对拉氏方法的实际应用提出几点认识。

Constitutive relation is the basis to study propagation and attenuation law of stress wave in the material. Lagrange analysis method is a useful tool to study physical processes occurring in the material and for developing better constitutive relation to predict the dynamic behavior of the material. Based on the hypothesis, lagrangian inverse analysis was applied to dealing with the measurement data of spherical blast waves, and the stress-strain relations curve was obtained. The main derivative processes of equations were given, and then the computation method deriving other physical quantities by radical velocity data established. The mechanical characteristics of granite and PMMA were compared. The Fourier transform was employed to obtain the velocity frequency spectrum at various distances from the blast centre, by which the influences of the component change of different frequencies wave on the building of the path curve were also discussed. Moreover, some views were put forward when lagrangian analysis method was used for analyzing the granite material.