| 层状粘弹性介质中SH波的反射、透射问题 |
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| 引用本文： | 郭智奇,刘财,张凤琴.层状粘弹性介质中SH波的反射、透射问题[J].吉林大学学报(地球科学版),2005(Z1). |
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| 作者姓名： | 郭智奇 刘财 张凤琴 |
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| 作者单位： | [1]吉林大学地球探测科学与技术学院 [2]吉林大学地球探测科学与技术学院 吉林长春 [3]吉林长春 |
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| 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。
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| 关 键 词： | 粘弹性介质 SH波 反射、透射系数 临界角 |
Reflection and Transmission Problem of SH Waves in Layered Viscoelastic Medium |
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| GUO Zhi-qi,LIU Cai,ZHANG Feng-qin.Reflection and Transmission Problem of SH Waves in Layered Viscoelastic Medium[J].Journal of Jilin Unviersity:Earth Science Edition,2005(Z1). |
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| Authors: | GUO Zhi-qi LIU Cai ZHANG Feng-qin |
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| Abstract: | 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 equation in viscoelastic medium.After that,we obtain the solution of the equation based on which we can study on problems of reflection and transmission on interface between two viscoelastic solids.At last,we give some theoretical analysis after calculating the coefficient of reflection and transmission C_R,C_T. |
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| Keywords: | vicoelastic medium SH waves reflection/transmission coefficient critical angle |
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