The Relation between Stress and Particle Velocity for Surface Waves / Pulses

	The Relation between Stress and Particle Velocity for Surface Waves / Pulses K. Uenishi and H.P. Rossmanith Institute of Mechanics, Vienna University of Technology, Vienna, Austria

Summary

The relationship between the stress and the particle velocity for surface waves / pulses which propagate along a free surface of elastic isotropic media is discussed. The point of observation is located either on the free surface or at the interior of the media. The stress and displacement field of a Rayleigh (R-) pulse or Love (L-) wave is mathematically represented. For linear elastic problems, a general surface pulse can always be Fourier decomposed and each harmonic wave can be treated individually. In practice, the particle velocity is often obtained upon integration of the acceleration recorded by seismic instruments. Then, the horizontal stress is calculated by means of the simple relation obtained by the analysis. This procedure works for any interior points (any depth).

Keywords

Dynamic stress, Particle velocity, Surface wave / pulse, Rayleigh pulse, Love wave.

Related Publications

Uenishi, K., and H.P. Rossmanith (1998). The Relation between Stress and Particle Velocity for Rayleigh Pulses. Acta Mech., 131(3-4), 247-253.
Uenishi, K. (2003). Rayleigh Pulse - A Mathematical Perspective. Report of the Research Center for Urban Safety and Security, Kobe University, 7, 19-38.
Uenishi, K., and T. Saitoh (2006). On the Horizontal Particle Motions Induced by Love Waves. Report of the Research Center for Urban Safety and Security, Kobe University, 10, 47-58.

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