Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling
Geophysics
2018-02-14 v1 Computational Engineering, Finance, and Science
Chaotic Dynamics
Abstract
The simulation of a wave propagation caused by seismic stimulation allows to study the behaviour of the environment and to evaluate the consequences. The model involves the wave equation with a hysteresis loop in the stress-strain relationship. This induces non-linearities and, at the vertices of the loop, non-differentiable mathematical operators. This paper offers a numerical process which works out this simulation.
Keywords
Cite
@article{arxiv.1802.04750,
title = {Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling},
author = {Denis Jeambrun and Yves Moreau and Jean-Louis Costaz and Jean-Pierre Tourret and Paul Jouanna and Gilles Lecoy},
journal= {arXiv preprint arXiv:1802.04750},
year = {2018}
}