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不规则界面对扭转表面波在初应力各向异性多孔弹性层中传播的影响
引用本文:S · 古普塔,A · 查托帕答雅,D · K · 马吉.不规则界面对扭转表面波在初应力各向异性多孔弹性层中传播的影响[J].应用数学和力学,2010,31(4).
作者姓名:S · 古普塔  A · 查托帕答雅  D · K · 马吉
作者单位:印度矿业学院,应用数学系,丹巴德,826004,印度
摘    要:研究了扭转表面波在一个半无限非均匀半空间中的传播,半空间上覆盖着具有初始应力的各向异性多孔弹性层,弹性层的刚度和密度线性地变化,造成了界面的不规则性.半空间中界面的不规则性,用一个矩形形式表示.可以发现,扭转表面波在这样假定的介质中传播,得到了没有不规则性时的扭转表面波的速度方程.还可以发现,对于均匀半空间覆盖的层状介质,扭转表面波的速度与Love波的速度相一致.

关 键 词:非规则性  扭转表面波  各向异性  初应力

Effect of Irregularity on the Propagation of Torsional Surface Waves in an Initially Stressed Anisotropic Poro-Elastic Layer
S. Gupta,A. Chattopadhyay,D. K. Majhi.Effect of Irregularity on the Propagation of Torsional Surface Waves in an Initially Stressed Anisotropic Poro-Elastic Layer[J].Applied Mathematics and Mechanics,2010,31(4).
Authors:S Gupta  A Chattopadhyay  D K Majhi
Abstract:The torsional surface wave propagation in an initially stressed anisotropic poro-elastic layer over a semi-infinite heterogeneous half space with linearly varying rigidity and density due to irregularity at the interface was studied. The irregularity had been taken in the half-space in the form of a rectangle. It is observed that torsional surface waves propagate in this assumed medium. In the absence of irregularity the velocity equation of torsional surface wave has also been obtained. Further, it has been seen that for a layer over a homogeneous half space, the velocity of torsional surface waves coincides with that of Love waves.
Keywords:irregularity  torsional surface waves  anisotropic  initial stress
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