Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling.
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.
Publisher URL: http://arxiv.org/abs/1802.04750
DOI: arXiv:1802.04750v1
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