Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling

Denis Jeambrun (1, 2) , Yves Moreau (1) , Jean-Louis L Costaz (3) , Jean-Pierre Tourret (3) , Paul Jouanna (4) , Gilles Lecoy (1)

1 CEM2 - Centre d'Electronique et de Micro-optoélectronique de Montpellier
2 Airbus [France]
3 EDF Direction Technique - Direction Technique
4 DTMC

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.

Mots clés: Simulation; Dynamics; Discontinuities; Seismic; Dissipation; Waves; Non linear; Nonlinear; Hysteresis

Domaines: Analyse numérique [cs.NA]; Complexité [cs.CC]; Modélisation et simulation; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux; Dynamique Chaotique [nlin.CD]

Denis Jeambrun, Yves Moreau, Jean-Louis L Costaz, Jean-Pierre Tourret, Paul Jouanna, et al.. Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling. A.M.S.E. CSS' 96, Sep 1996, BRNO, Czech Republic. pp. 587-591. ⟨hal-00750062v2⟩