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INFLUENCE OF RIGID BOUNDARY ON THE LOVE WAVE PROPAGATION IN ELASTIC LAYER WITH VOID PORES
Authors:Sumit Kumar Vishwakarma  Shishir Gupta  Dinesh Kumar Majhi
Institution:[1]Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India [2]Department of Mathematics, Birla Institute of Technology and Science, Pilani, Hyderabad-500078, India
Abstract:In this paper, a mathematical model for Love wave propagation in a porous elastic layer under a rigid boundary resting over a poro-elastic half-space has been developed. The study shows that such a medium transmits two types of Love waves. The first front depends on the change in volume fraction of the pores whereas the second front depends upon the modulus of rigidity of the elastic matrix of the medium and is the same as the Love wave in an elastic layer over an elastic half-space. It is observed that the first front is many times faster than the shear wave in the medium with void pores due to the change in the volume fraction of the pores and is significant.
Keywords:Love waves  void pores  volume fraction  rigid boundary  wave front
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