Nonlinear mesoscopic elasticity: evidence for an ew class of materials, Phys. Today, vol.52, pp.30-36, 1999. ,
TenCate: Slowdynamics of earth materials: an experimental overview, PureAppl. Geophys, vol.168, pp.211-2219, 2011. ,
Revealing highly complexelastic nonlinear (anelastic)behavior of Earth materials applying anew probe: Dynamic acoustoelastic testing, J. Geophys. Res.-Sol. Ea, vol.117, p.6202, 2012. ,
Pump and probe wavesindynamic acoustoelasticity: comprehensive description and comparison with nonlinear elastic theories, J. Appl. Phys, vol.114, issue.5, p.54905, 2013. ,
Va nDen Abeele: Elastic pulsed wave propagation in media with second-or higher-order nonlinearity.P art I. Theoretical framework, J. Acoust. Soc. Am, pp.3334-3345, 1996. ,
Applying nonlinear resonant ultrasound spectroscopytoimproving thermal damage assessment in concrete, J. Acoust. Soc. Am, pp.125-130, 2007. ,
Wave propagation in nonlinear and hysteretic media-a numerical study, Int. J. Solids Struct, pp.5585-5614, 2002. ,
Pseudo-spectral simulation of 1D nonlinear propagation in heterogeneous elastic media, Wave Motion, vol.52, pp.54-65, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00367049
TenC ate: Strain-induced kinetics of intergrain defects as the mechanism of slowdynamics in the nonlinear resonant response of humid sandstone bars, Phys. Rev. E, vol.70, p.15602, 2004. ,
Fast and slowdynamics in anonlinear elastic bar excited by longitudinal vibrations, Wave Motion, vol.56, pp.221-238, 2015. ,
Agnon: Distributed damage, faulting, and friction, J. Geophys. Res.-Sol. Ea, pp.27635-27649, 1997. ,
Nonlinear elastic behaviour of damaged rocks, Geophys. J. Int, vol.130, issue.1, pp.157-166, 1997. ,
Chiavassa: Nonlinear wavesi ns olids with slowd ynamics: an internalvariable model, Proc. R. Soc. A, vol.473, 2017. ,
, Thermodynamics with internal variables. Part I. General concepts. J. Non-Equilib.T hermodyn, vol.19, pp.217-249, 1994.
The sagaofinternal variables of state in continuum thermo-mechanics (1893-2013), Mech. Res. Commun, vol.69, pp.79-86, 2015. ,
Numerical Approximation of Hyperbolic Systems of Conservation Laws, 1996. ,
Finite-Volume Methods for Hyperbolic Problems, 2002. ,
Afinite volume approach for the simulation of nonlinear dissipative acoustic wave propagation, Wave Motion, vol.58, pp.180-195, 2015. ,
Finite deformations of an elastic solid, Am. J. Math, vol.59, pp.235-260, 1937. ,
Dynamic nonlinear elasticity in geomaterials, Riv. Nuovo Cimento, pp.1-46, 2001. ,
Determination of third order elastic constants in ac omplexs olid applying coda wave interferometry.A ppl, Phys. Lett, vol.94, p.11904, 2009. ,
Analytical solution to 1D nonlinear elastodynamics with general constitutive laws, Wave Motion, vol.74, pp.35-55, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01350116
, Non-Linear Elastic Deformations. Ellis Harwood Ltd, 1984.
, Nonlinear Solid Mechanics: AContinuum Approach for Engineering, 2000.
Introduction to wave propagation in nonlinear fluids and solids, 1998. ,
, Finite-amplitude wavesinsolids, pp.263-278, 1998.
Theoretical study of nonlinear elastic wave propagation, J. Geophys. Res.-Sol. Ea, pp.2591-2600, 1994. ,
Rasolofosaon: Nonlinear elasticity and stress-induced anisotropyi nr ock, J. Geophys. Res.-Sol. Ea, pp.3113-3124, 1996. ,
Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws, SIAM J. Sci. Comput, pp.2381-2401, 2007. ,
Exact Riemann solution for the Euler equations with nonconvex and nonsmooth equation of state. PhD thesis, 2005. ,
, RiemannElasto1D Toolbox (accessed 16 October 2017
Favrie: Modeling longitudinal wave propagation in nonlinear viscoelastic solids with softening, Int. J. Solids Struct, 2018. ,
High order weighted essentially nonoscillatory schemes for convection dominated problems, SIAM Rev, pp.82-126, 2009. ,