摘要
如何由球面波实测数据反演黏弹性材料本构关系是一个富有挑战性的问题。从基于ZWT线性黏弹性本构方程建立的黏弹性球面波的控制方程组出发,根据强间断波阵面的衰减特性,提出了一个由一系列质点速度实测波形求试件动态黏弹性本构方程的新方法。首先,当材料准静态特性已知时,通过实测球面波的传播速度可确定材料的高频弹性模量;再通过实测强间断波的衰减因子可确定材料的高频松弛时间,从而可确定全部黏弹性本构参数。由反演获得的黏弹性本构模型,用特征线数值法计算黏弹性球面波,其质点速度波形的预示与实测取得了令人满意的一致性结果。
The inversion of visco-elastic constitutive relation from the measured data of a spherical wave experiment is a challenging research. Starting from the governing equations for linear visco-elastic spherical waves which are based on the ZWT visco-elastic constitutive relation, the analytical expres- sion for the attenuation of strong-discontinuous visco-elastic spherical wave front is derived, and conse- quently a new method is proposed,by which the high-strain-rate visco-elastic parameters could be in- versed from a series of particle velocity profiles measured in a spherical wave experiment. The first step is to determine the high-strain-rate elastic module from wave velocity measurements when the quasi-static material parameters are known. Then the high-strain-rate relaxation time can be deter- mined from the attenuation factor. Thus the required visco-elastic constitutive relation can be ob- tained. Using those material parameters obtained by such a new inversion method, the visco-elastic spherical wave profiles are calculated by the characteristics method. The good agreement between the numerical predictions and the experimental results well supports this proposed new inversion method.
出处
《高压物理学报》
CAS
CSCD
北大核心
2013年第2期245-252,共8页
Chinese Journal of High Pressure Physics
基金
国家自然科学基金(11032001
11172244)
宁波大学王宽诚幸福基金
浙江水利水电学院重点项目(xkyzd201202)
关键词
爆炸与冲击
球面波
黏弹性本构关系
冲击波
反演法
衰减
explosion and impact
spherical waves
visco-elastic constitutive realtion
shock waves
in- version method
attenuation
