Applied Mathematics and Mechanics >
G-type dispersion equation under suppressed rigid boundary:analytic approach
Received date: 2015-01-12
Revised date: 2015-10-28
Online published: 2016-04-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 11471087), the China Postdoctoral Science Foundation (No. 2013M540270), the Heilongjiang Postdoctoral Foundation (No. LBH-Z13056), the Support Plan for the Young College Academic Backbone of Heilongjiang Province (No. 1252G020), and the Fundamental Research Funds for the Central Universities
This paper studies dispersion of a G-type earthquake wave under the influence of a suppressed rigid boundary. Inside the Earth, the density and rigidity of the crustal layer and the mantle of the Earth vary exponentially and periodically along the depth. The displacements of the wave are found in the individual medium followed by a dispersion equation using a suitable analytic approach and a boundary condition. The prominent effect of inhomogeneity contained in the media, the rigid boundary plane, and the initial stress on the phase and group velocities is shown graphically.
Key words： analytic approach; rigid boundary; G-type wave; dispersion equation; group velocity
S. K. VISHWAKARMA, Runzhang XU . G-type dispersion equation under suppressed rigid boundary:analytic approach[J]. Applied Mathematics and Mechanics, 2016 , 37(4) : 501 -512 . DOI: 10.1007/s10483-016-2048-9
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