Nonhomogeneous layer bonded to a half-space by external forces

1977 ◽  
Vol 13 (5) ◽  
pp. 431-435
Author(s):  
V. P. Plevako ◽  
A. A. Kerevich
Keyword(s):  
Half Space ◽  
Nonhomogeneous Layer ◽  
External Forces

The state of stress of a nonhomogeneous layer resting on an elastic half-space

1972 ◽  
Vol 8 (4) ◽  
pp. 397-403
Author(s):  
V. P. Plevako
Keyword(s):  
Half Space ◽  
Elastic Half Space ◽  
The State ◽  
State Of Stress ◽  
Nonhomogeneous Layer

Dynamic Response of a Hemispherical Foundation Embedded in an Elastic Half-Space

1998 ◽  
Vol 120 (4) ◽  
pp. 343-348 ◽  
Author(s):  
C.-S. Yeh ◽  
T.-J. Teng ◽  
W.-I. Liao
Keyword(s):  
Dynamic Response ◽  
Half Space ◽  
Ground Surface ◽  
Integral Equation Method ◽  
Elastic Half Space ◽  
Least Square ◽  
Sh Waves ◽  
Soil Foundation ◽  
External Forces ◽  
Impedance Functions

The dynamic response of a massless rigid hemispherical foundation embedded in a uniform homogeneous elastic half-space is considered in this study. The foundation is subjected to external forces, moments, plane harmonic P and SH waves, respectively. The series solutions are constructed by three sequences of Lamb’s singular solutions which satisfy the traction-free conditions on ground surface and radiation conditions at infinity, automatically, and their coefficients are determined by the boundary conditions along the soil-foundation interface in the least square sense. The fictitious eigen-frequencies, which arise in integral equation method, will not appear in the numerical calculation by the proposed method. The impedance functions which characterize the response of the foundation to external harmonic forces and moments at low and intermediate frequencies are calculated and the translational and rocking responses of the foundation when subjected to plane P and SH waves are also presented and discussed in detail.

scholarly journals Propagation of Surface Waves in a Rotating Coated Viscoelastic Half-Space under the Influence of Magnetic Field and Gravitational Forces

2021 ◽  
Vol 5 (4) ◽  
pp. 250
Author(s):  
Ali Mubaraki ◽  
Saad Althobaiti ◽  
Rahmatullah Ibrahim Nuruddeen
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Half Space ◽  
Normal Mode Analysis ◽  
Frequency Equation ◽  
Mode Analysis ◽  
Gravitational Forces ◽  
External Forces ◽  
High Level ◽  
The Magnetic Field

The present manuscript focuses on the study of surface wave propagation in a rotating coated viscoelastic half-space and its response to external forces comprised of the magnetic field and gravitational forces. A celebrated normal mode analysis procedure is adopted as the methodology of interest for its high level of efficiency in the literature. The analytically obtained frequency equation is analyzed for certain scenarios of curiosity, in addition to the determination of the resulting displacements and stresses. Moreover, certain physical data of relevance with the viscoelasticity index of unity are considered for the numerical simulations. As for the findings, the presented graphical illustrations showed that both the magnetic field and rotation positively accelerated the dispersion of surface waves in the coated half-space, while the obtained approximate fields in the half-space are found to be oscillatory as they steadily move towards the limiting point.

Rayleigh waves in a nonhomogeneous layer resting on a half-space

1973 ◽  
Vol 37 (5) ◽  
pp. 849-853
Author(s):  
A.G. Alenitsyn
Keyword(s):  
Half Space ◽  
Rayleigh Waves ◽  
Nonhomogeneous Layer

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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