Propagation of shear waves in viscoelastic heterogeneous layer overlying an initially stressed half space

International Conference on Vibration Problems

Chatterjee, Mita^1 ; Dhua, Sudarshan^1 ; Chattopadhyay, Amares^1

Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand

826004, India^1

关键词: Dispersion curves;    Dispersion equations;    Homogeneous half space;    Inhomogeneities;    Initial stress;    Initially stressed;    Linear functions;    Wave numbers;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/662/1/012001/pdf
DOI  :  10.1088/1742-6596/662/1/012001

来源: IOP

【 摘 要 】

The present paper is concerned with the propagation of shear waves in an isotropic, viscoelastic, heterogeneous layer lying over a homogeneous half space under initial stress. For the layer the inhomogeneity associated to rigidity, internal friction and density is assumed to be linear function of depth. The dispersion equation of shear waves has been obtained in closed form. The dimensionless phase velocity and damping velocity have been plotted against dimensionless wave number for different values of inhomogeneity parameter and initial stress. The effects of inhomogeneity and initial stress have been shown in the dispersion curves.