Author
Robert G. Payton
Other affiliations: University of Strathclyde
Bio: Robert G. Payton is an academic researcher from Adelphi University. The author has contributed to research in topics: Transverse isotropy & Wavefront. The author has an hindex of 9, co-authored 30 publications receiving 291 citations. Previous affiliations of Robert G. Payton include University of Strathclyde.
Papers
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TL;DR: In this paper, the surface motion of an elastic half-space acted upon by a moving line load is studied and it is shown that this displacement becomes unbounded at the location of the moving load x =ct provided c=cr, the Rayleigh wave speed, or c lies in the range c2
82 citations
TL;DR: In this paper, a closed form expression for the Green's function for SH-wave in a cylindrically monoclinic material is derived for impulsive and time-harmonic sources.
Abstract: Green's function for SH-waves in a cylindrically monoclinic material is considered for impulsive and time-harmonic sources. Closed form expressions for the Green's function are derived for a few limited values of anisotropic parameters. A very interesting time development of the wave front shape is illustrated and the wave front singularity is discussed for the transient SH-wave. Contours of the displacement amplitude for the time-harmonic wave are also shown.
31 citations
TL;DR: In this paper, an impulsive and time-harmonic Green's function for SH waves in an inhomogeneous elastic solid was derived for the case of a linear velocity variation, where the velocity variation was assumed to be a power function of one space variable.
22 citations
TL;DR: The shape of the wave front induced in a finitely strained elastic body by an impulsive point body force is investigated in this paper, where the elastic body is characterized by three parameters which are restricted by the requirement that the governing system of equations be strictly hyperbolic.
Abstract: The shape of The two (spatial) dimensional wave front induced in a finitely strained elastic body by an impulsive point body force is investigated. The elastic body is characterized by three parameters which are restricted by the requirement that the governing system of equations be strictly hyperbolic. The wave front is constructed as the envelope of a one parameter family of straight lines. For different combinations of α, β and γ the wave front is shown to have zero, two or four cuspoidal triangles. The interiors of these triangles are found to be lacunas, where the associated displacements vanish identically.
21 citations
20 citations
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TL;DR: In this article, an analysis of the results obtained in the three-dimensional linearized theory of elastic waves propagating in initially stressed solids was made. But the results were obtained in exact formulations.
Abstract: An analysis is made of the results obtained in the three-dimensional linearized theory of elastic waves propagating in initially stressed solids. Consideration is given to surface waves along planar and curvilinear boundaries and interfaces, waves in layers and cylinders, waves in composite materials, waves in hydroelastic systems, and dynamic problems for moving loads. The results were obtained in exact formulations.
249 citations
TL;DR: In this article, the authors deal with the dynamic response of road pavements to moving loads on their surface, where the loads are concentrated or distributed of finite extent, may vary with time and move with constant or variable speed.
190 citations
TL;DR: In this article, the steady-state displacements and stresses within a multi-layered viscoelastic half-space generated by a buried or surface point load moving with constant speed parallel to the surface of the half space are obtained by an integral representation of the complete response in terms of wavenumbers.
134 citations
TL;DR: In this paper, a series of field tests on the foundation vibrations generated by electrodynamic shaker are performed to examine the screening efficiency of open and in-filled trench barriers which are constructed for full-scale measurement.
126 citations
TL;DR: In this paper, an analytical solution for the dynamic response of a half-space porous medium subjected to a moving point load is derived, where the displacements of the solid skeleton and the pore pressure are expressed in terms of two scalar potentials and one vectorial potential.
89 citations