摘要
处理粘弹性介质有两种方法,一种是在运动方程中加入介质的粘滞性因素,另一种是从本构方程入手,建立介质的粘弹性模型。后一种方法在研究介质物理性质上具有直接性,是目前使用较为普遍的处理方法。从本构方程的角度,以波尔兹曼(Bo ltzm ann)叠加原理为基础,建立积分型本构方程,进而建立粘弹性介质波动方程,得到二维粘弹性平面波解,并研究了层状粘弹性介质分界面处平面波的反射、透射问题,计算反射、透射系数CR、CT,同时进行了一定的理论分析。
Two chief ways are mainly used to solve the problems of viscoelasticity: one is considering the factor of viscidity in elastodynamics equation,the other is establishing models of viscoelastic medium directly from constitutive equation.The second method is mainly used because of its positivism in studying on physical appearance of medium.In this article,we firstly establish constitutive equation of convolutional forms based on Boltzman s superposition principle,and consequently establish elastodynamic equati...
出处
《吉林大学学报(地球科学版)》
EI
CAS
CSCD
北大核心
2005年第S1期57-61,共5页
Journal of Jilin University:Earth Science Edition
关键词
粘弹性介质
SH波
反射、透射系数
临界角
vicoelastic medium
SH waves
reflection/transmission coefficient
critical angle