An approximate formula of first peak frequency of ellipticity of Rayleigh surface waves in an orthotropic layered half-space model

2020 ◽  
Vol 15 (1) ◽  
pp. 61-74
Author(s):  
Truong Thi Thuy Dung ◽  
Tran Thanh Tuan ◽  
Pham Chi Vinh ◽  
Giang Kien Trung
2013 ◽  
Vol 115 (1) ◽  
pp. 61-76 ◽  
Author(s):  
Stan Chiriţă ◽  
Michele Ciarletta ◽  
Vincenzo Tibullo

2016 ◽  
Vol 38 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Tran Thanh Tuan ◽  
Tran Ngoc Trung

In this paper, the secular equation of Rayleigh surface waves propagating in an orthotropic layered half-space is derived by the matrix method.  All the layers and the half-space are assumed to have identical principle axes. The explicit form of the matrizant for each layer is obtained by the Sylvester's theorem. The derived secular equation takes only real values and depends only on the dimensionless variables and dimensionless material parameters. Hence, it is convenient in numerical calculation.


2016 ◽  
Vol 173 (8) ◽  
pp. 2803-2812 ◽  
Author(s):  
Tran Thanh Tuan ◽  
Pham Chi Vinh ◽  
Matthias Ohrnberger ◽  
Peter Malischewsky ◽  
Abdelkrim Aoudia

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